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Title: FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)

Abstract

We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$ arising in the semileptonic $$K \to \pi$$ transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi$$ and its consequences for the CKM matrix elements $$V_{us}$$ and $$V_{ud}$$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ and $$SU(3)_L\times SU(3)_R$$ Chiral Perturbation Theory. We review the determination of the $$B_K$$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$ and $$m_b$$ as well as those for $D$- and $B$-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha_s$$. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.

Authors:
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Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
[Flavour Lattice Averaging Group (FLAG)]
OSTI Identifier:
1557466
Report Number(s):
[arXiv:1902.08191; FERMILAB-PUB-19-077-T]
[Journal ID: ISSN 1434-6044; oai:inspirehep.net:1721393]
Grant/Contract Number:  
[AC02-07CH11359; FG03-92ER40711; AC52-06NA25396; SC0011637]
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
[ Journal Volume: 80; Journal Issue: 2]; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Gupta, R., Hashimoto, S., Heller, U. M., Herdoiza, G., Horsley, R., Jüttner, A., Kaneko, T., Lin, C. -J. D., Lunghi, E., Mawhinney, R., Nicholson, A., Onogi, T., Pena, C., Portelli, A., Ramos, A., Sharpe, S. R., Simone, J. N., Simula, S., Sommer, R., Van de Water, R., Vladikas, A., Wenger, U., and Wittig, H. FLAG Review 2019: Flavour Lattice Averaging Group (FLAG). United States: N. p., 2020. Web. doi:10.1140/epjc/s10052-019-7354-7.
Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Gupta, R., Hashimoto, S., Heller, U. M., Herdoiza, G., Horsley, R., Jüttner, A., Kaneko, T., Lin, C. -J. D., Lunghi, E., Mawhinney, R., Nicholson, A., Onogi, T., Pena, C., Portelli, A., Ramos, A., Sharpe, S. R., Simone, J. N., Simula, S., Sommer, R., Van de Water, R., Vladikas, A., Wenger, U., & Wittig, H. FLAG Review 2019: Flavour Lattice Averaging Group (FLAG). United States. doi:10.1140/epjc/s10052-019-7354-7.
Aoki, S., Aoki, Y., Bečirević, D., Blum, T., Colangelo, G., Collins, S., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Gupta, R., Hashimoto, S., Heller, U. M., Herdoiza, G., Horsley, R., Jüttner, A., Kaneko, T., Lin, C. -J. D., Lunghi, E., Mawhinney, R., Nicholson, A., Onogi, T., Pena, C., Portelli, A., Ramos, A., Sharpe, S. R., Simone, J. N., Simula, S., Sommer, R., Van de Water, R., Vladikas, A., Wenger, U., and Wittig, H. Tue . "FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)". United States. doi:10.1140/epjc/s10052-019-7354-7. https://www.osti.gov/servlets/purl/1557466.
@article{osti_1557466,
title = {FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)},
author = {Aoki, S. and Aoki, Y. and Bečirević, D. and Blum, T. and Colangelo, G. and Collins, S. and Della Morte, M. and Dimopoulos, P. and Dürr, S. and Fukaya, H. and Golterman, M. and Gottlieb, Steven and Gupta, R. and Hashimoto, S. and Heller, U. M. and Herdoiza, G. and Horsley, R. and Jüttner, A. and Kaneko, T. and Lin, C. -J. D. and Lunghi, E. and Mawhinney, R. and Nicholson, A. and Onogi, T. and Pena, C. and Portelli, A. and Ramos, A. and Sharpe, S. R. and Simone, J. N. and Simula, S. and Sommer, R. and Van de Water, R. and Vladikas, A. and Wenger, U. and Wittig, H.},
abstractNote = {We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to \pi$ transition at zero momentum transfer, as well as the decay constant ratio $f_K/f_\pi$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $SU(2)_L\times SU(2)_R$ and $SU(3)_L\times SU(3)_R$ Chiral Perturbation Theory. We review the determination of the $B_K$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ as well as those for $D$- and $B$-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $\alpha_s$. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.},
doi = {10.1140/epjc/s10052-019-7354-7},
journal = {European Physical Journal. C, Particles and Fields},
number = [2],
volume = [80],
place = {United States},
year = {2020},
month = {2}
}

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B K -parameter from N f = 2 twisted mass lattice QCD
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B π l ν semileptonic form factor from three-flavor lattice QCD: A model-independent determination of | V ub |
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Model independent extraction of the proton magnetic radius from electron scattering
journal, October 2014


Light hadron spectroscopy using domain wall valence quarks on an asqtad sea
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Dimension-eight operators in the weak OPE
journal, October 2000

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  • Journal of High Energy Physics, Vol. 2000, Issue 10
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Low-lying baryon spectrum with two dynamical twisted mass fermions
journal, December 2009


Precise B , B s , and B c meson spectroscopy from full lattice QCD
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Consistent OPE description of gluon two- and three-point Green functions?
journal, November 2000


Hypercubic smeared links for dynamical fermions
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Light-quark masses from unquenched lattice QCD
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The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD
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Status of the Hadronic τ Decay Determination of
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Finite-size scaling of meson propagators
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SU(2) chiral perturbation theory low-energy constants from 2 + 1 flavor staggered lattice simulations
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Chirally improving Wilson fermions I. O(a) improvement
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Λ b p ν ¯ form factors from lattice QCD with static b quarks
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Probing novel scalar and tensor interactions from (ultra)cold neutrons to the LHC
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Determination of α s from the QCD static energy: An update
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Scalar meson spectroscopy with lattice staggered fermions
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Improved continuum limit lattice action for QCD with wilson fermions
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B - and D -meson decay constants from three-flavor lattice QCD
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Lattice QCD calculation of the ρ meson decay width
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SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2 + 1 flavor lattice QCD
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Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
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Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD
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Heavy-meson observables at one-loop in partially quenched chiral perturbation theory
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Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
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Chiral symmetry breaking in confining theories
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Application of heavy-quark effective theory to lattice QCD. III. Radiative corrections to heavy-heavy currents
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Precise determination of the I = 2 π π scattering length from mixed-action lattice QCD
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Index Theorem and Universality Properties of the Low-Lying Eigenvalues of Improved Staggered Quarks
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Localization and chiral symmetry in three flavor domain wall QCD
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On-shell improved lattice gauge theories
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Strange and light quark contributions to the nucleon mass from lattice QCD
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Chiral and deconfinement aspects of the QCD transition
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The pion form factor from lattice QCD with two dynamical flavours
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Domain wall QCD with near-physical pions
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Symmetry-breaking corrections to weak vector currents
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Vector form factor in K l 3 semileptonic decay with two flavors of dynamical domain-wall quarks
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Updated evaluation of ϵ K in the standard model with lattice QCD inputs
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Finite size effects in phase transitions
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Reduced Hadronic Uncertainty in the Determination of V u d
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Chiral logs in twisted mass lattice QCD with large isospin breaking
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Electromagnetic mass splittings of the low lying hadrons and quark masses from 2 + 1 flavor lattice QCD + QED
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Phenomenology of semileptonic B -meson decays with form factors from lattice QCD
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Systematics of staggered fermion spectral properties and topology
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Precise Charm to Strange Mass Ratio and Light Quark Masses from Full Lattice QCD
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K 0 K ¯ 0 mixing beyond the standard model and C P -violating electroweak penguins in quenched QCD with exact chiral symmetry
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A semiclassical formula for the topological susceptibility in a finite space-time volume
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Direct determinations of the nucleon and pion σ terms at nearly physical quark masses
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Quark contribution to the proton spin from 2 + 1 + 1 -flavor lattice QCD
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Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions
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Asymptotic behavior of the gluon propagator from lattice QCD
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Hadronic form factors in lattice QCD at small and vanishing momentum transfer
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Precision Determination of r 0 Λ MS ¯ from the QCD Static Energy
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Equivalence of QCD in the ϵ-regime and chiral random matrix theory with or without chemical potential
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Hadron Structure Review
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  • Syritsyn, Sergey
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Topological susceptibility in lattice Yang-Mills theory with open boundary condition
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On the computation of hadron-to-hadron transition matrix elements in lattice QCD
journal, January 2012

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Smallest Dirac eigenvalue distribution from random matrix theory
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2+1 flavor QCD simulated in the ϵ-regime in different topological sectors
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Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor Lattice QCD
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Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
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Simulations with different lattice Dirac operators for valence and sea quarks
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ϒ and ϒ leptonic widths, a μ b , and m b from full lattice QCD
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π N and strangeness sigma terms at the physical point with chiral fermions
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The scalar radius of the pion from lattice QCD in the continuum limit
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Scale Setting in Lattice QCD
conference, April 2014

  • Sommer, Rainer
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New approach to Ginsparg-Wilson fermions
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Chiral dynamics with strange quarks in the light of recent lattice simulations
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A numerical method to compute the running coupling in asymptotically free theories
journal, July 1991


Non-perturbative Heavy Quark Effective Theory
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Random matrix theory and spectral sum rules for the Dirac operator in QCD
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Relations between heavy-light meson and quark masses
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Chiral symmetry on the lattice with Wilson fermions
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Finite volume scaling of pseudo Nambu-Goldstone bosons in QCD
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QCD with dynamical Wilson fermions
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Staggered chiral perturbation theory for heavy-light mesons
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Determination of the Lambda parameter from full lattice QCD
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Chiral SU ( 3 ) SU ( 3 ) as a Symmetry of the Strong Interactions
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How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
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Light hadron spectroscopy with two flavors of O ( a )-improved dynamical quarks
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Matching effective chiral Lagrangians with dimensional and lattice regularizations
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Renormalization group flow of SU(3) lattice gauge theory. Numerical studies in a two coupling space
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Pseudoscalar decay constants in staggered chiral perturbation theory
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Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks
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Non-perturbative study of the light pseudoscalar masses in chiral dynamics
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Gauge field theories on a lattice
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Simultaneous decoupling of bottom and charm quarks
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An effective field theory for the calculation of matrix elements involving heavy quarks
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Non perturbative renormalization of flavor singlet quark bilinear operators in lattice QCD
conference, March 2017

  • Bali, Gunnar; Collins, Sara; Goeckeler, Meinulf
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QCD static energy at next-to-next-to-next-to leading-logarithmic accuracy
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Scalar, Axial, and Tensor Interactions of Light Nuclei from Lattice QCD
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Probing the chiral regime of N f = 2 QCD with mixed actions
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Lattice renormalization of O ( a ) improved heavy-light operators: An addendum
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Kaon semileptonic decay form factors in two-flavor QCD
conference, December 2005

  • Tsutsui, Naoto; Aoki, Sinya; Fukugita, M.
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Confinement of quarks
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S U ( 3 ) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
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Nab: Measurement principles, apparatus and uncertainties
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The string tension from smeared Wilson loops at large N
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The K ℓ3 scalar form factors in the standard model
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Chiral analysis of quenched baryon masses
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Ratio m c / m s with Wilson Fermions
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Determination of the Chiral Condensate from ( 2 + 1 )-Flavor Lattice QCD
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Topological susceptibility in 2+1 flavors lattice QCD with domain-wall fermions
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Spontaneously broken symmetries: Effective lagrangians at finite volume
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Effects of subleading operators in the heavy quark effective theory
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V u s from π and K decay constants in full lattice QCD with physical u , d , s , and c quarks
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Order p 6 chiral couplings from the scalar K   form factor
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Testing perturbation theory on the Nf=0 static quark potential
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A proposal for B-physics on current lattices
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The O (αS3) corrections to σtot (e+e− → hadrons) and Γ (τ− → ντ + hadrons) in QCD
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The gradient flow running coupling with twisted boundary conditions
journal, November 2014


K π π Δ I = 3 / 2 decay amplitude in the continuum limit
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QED corrections to hadronic processes in lattice QCD
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B-physics from Nf = 2 tmQCD: the Standard Model and beyond
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Interpolation between the ϵ and p regimes
journal, July 2011


Correlations among new C P violating effects in Δ F = 2 observables
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Physics opportunities with the 12 GeV upgrade at Jefferson Lab
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B s Kℓv form factors with 2+1 flavors
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Lattice fermions: Species doubling, chiral invariance and the triangle anomaly
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Radiative corrections to the kinetic couplings in nonrelativistic lattice QCD
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Non-perturbative determination of the Λ-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling
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journal, May 2009


Continuum limit of B K from 2 + 1 flavor domain wall QCD
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Determination of the renormalized heavy-quark mass in lattice QCD
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The rotator spectrum in the delta-regime of the effective field theory in 3 and 4 dimensions
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Octet baryon masses and sigma terms from an SU(3) chiral extrapolation
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Lattice test of 1 / N c baryon mass relations
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Multiple-channel generalization of Lellouch-Lüscher formula
journal, July 2012


Energy levels of light quarks confined to a box
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QCD at fixed topology
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Neutral-Kaon Mixing from ( 2 + 1 )-Flavor Domain-Wall QCD
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Effective field theories for QCD with rooted staggered fermions
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Lattice study of meson correlators in the ϵ -regime of two-flavor QCD
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On the factorization of chiral logarithms in the pion form factors
journal, September 2012

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  • Journal of High Energy Physics, Vol. 2012, Issue 9
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Three-Loop Static Potential
journal, March 2010


On the pion decay constant
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Static QCD Potential at Three-Loop Order
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Neutral kaon mixing parameter B K from unquenched mixed-action lattice QCD
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Topological susceptibility on the lattice and the three-flavour quark condensate
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  • Bernard, Véronique; Descotes-Genon, Sébastien; Toucas, Guillaume
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Geometry dependence of RMT-based methods to extract the low-energy constants Σ and F
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S parameter in QCD from domain wall fermions
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D meson semileptonic form factors in N f = 3 QCD with Möbius domain-wall quarks
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Bπlv with Möbius Domain Wall Fermions
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Systematic errors in extracting nucleon properties from lattice QCD
conference, June 2011

  • Knippschild, Bastian; Wittig, Hartmut; Capitani, Stefano
  • Proceedings of The XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)
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Update of | V c b | from the B ¯ D * ν ¯ form factor at zero recoil with three-flavor lattice QCD
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Higher-order corrections to in quantum chromodynamics
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The nucleon mass in Nf=2 lattice QCD: finite size effects from chiral perturbation theory
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Predicting positive parity B s mesons from lattice QCD
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Highly improved staggered quarks on the lattice with applications to charm physics
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Two meson systems with Ginsparg-Wilson valence quarks
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The gradient flow coupling in the Schrödinger functional
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The b-quark mass from non-perturbative Nf=2 Heavy Quark Effective Theory at O(1/mh)
journal, March 2014


Semileptonic decays of pseudoscalar particles (M→M′+ℓ+νℓ) and short-distance behaviour of quantum chromodynamics
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Practical all-to-all propagators for lattice QCD
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Slow running of the gradient flow coupling from 200 MeV to 4 GeV in N f = 3 QCD
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Nucleon structure with two flavors of dynamical domain-wall fermions
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Exclusive processes in perturbative quantum chromodynamics
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Precision corrections to dispersive bounds on form factors
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Effects of staggered fermions and mixed actions on the scalar correlator
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Heavy meson chiral perturbation theory in finite volume
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Physical results from 2 + 1 flavor domain wall QCD and SU(2) chiral perturbation theory
journal, December 2008


$$B_s\rightarrow D_s\ell \nu _\ell $$ B s → D s ℓ ν ℓ near zero recoil in and beyond the Standard Model
journal, May 2014


Realistic lattice determination of α s ( M Z ) revisited
journal, December 2008


Semileptonic B -meson decays to light pseudoscalar mesons on the HISQ ensembles
journal, January 2018


Diseases with rooted staggered quarks
conference, December 2006

  • Creutz, Michael
  • Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)
  • DOI: 10.22323/1.032.0208

Precision Model Independent Determination of | V ub | from B π l ν
journal, August 2005


On the generalized eigenvalue method for energies and matrix elements in lattice field theory
journal, April 2009

  • collaboration, Alpha; Blossier, Benoit; Morte, Michele Della
  • Journal of High Energy Physics, Vol. 2009, Issue 04
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Pion scattering in Wilson chiral perturbation theory
journal, December 2008


Nonperturbative determination of improvement coefficients using coordinate space correlators in N f = 2 + 1 lattice QCD
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Universality of mixed action extrapolation formulae
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D → Klv semileptonic decay using lattice QCD with HISQ at physical pion masses
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Considerations on numerical analysis of QCD
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Improvement of N f = 3 lattice QCD with Wilson fermions and tree-level improved gauge action
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Weak decays of heavy mesons in the static quark approximation
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| V c d | from D meson leptonic decays
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Application of heavy-quark effective theory to lattice QCD: Power corrections
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Connected and disconnected contractions in pion–pion scattering
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| V us | determination from inclusive strange tau decay and lattice HVP
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Quantum Monte Carlo methods for nuclear physics
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Nucleons in two-flavor partially-quenched chiral perturbation theory
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The K L - K S Mass Difference
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Including electromagnetism in K → ππ decay calculations
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Strange quark mass from e + e revisited and present status of light quark masses
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Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001


Testing the fixed-point QCD action and the construction of chiral currents
journal, November 2002


Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator
journal, November 2010


The Nf=0 heavy quark potential from short to intermediate distances
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Partial flavor symmetry restoration for chiral staggered fermions
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Preliminary Calculation of α S from Green Functions with Dynamical Quarks
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HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation
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Review of Particle Physics
journal, August 2018


Meson-baryon effective chiral Lagrangians to Script O( q 3 )
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Perfect lattice actions for quarks and gluons
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Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2 + 1-flavor QCD
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Low-energy couplings of QCD from current correlators near the chiral limit
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Heavy quark masses from sum rules in four-loop approximation
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Improved measurements of D meson semileptonic decays to π and K mesons
journal, August 2009


Chiral properties of light mesons with $N_f=2+1$ overlap fermions
conference, June 2010

  • Noaki, Junichi
  • Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009)
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Lattice simulations with N f = 2 + 1 improved Wilson fermions at a fixed strange quark mass
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Quark masses
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Chiral dynamics in the large N limit
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Nucleon matrix elements using the variational method in lattice QCD
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On the difficulty of computing higher-twist corrections
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Continuum limit physics from 2 + 1 flavor domain wall QCD
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Intrinsic strangeness and charm of the nucleon using improved staggered fermions
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On the foundations of partially quenched chiral perturbation theory
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Determination of the chiral condensate from QCD Dirac spectrum on the lattice
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Determination of | V u s | from a Lattice QCD Calculation of the K π ν Semileptonic Form Factor with Physical Quark Masses
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The running coupling from lattice gauge theory
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Multi-hadron-state contamination in nucleon observables from chiral perturbation theory
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Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data
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Superallowed 0 + 0 + nuclear β decays: 2014 critical survey, with precise results for V u d and CKM unitarity
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Non-perturbative improvement of the axial current with three dynamical flavors and the Iwasaki gauge action
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On the in chiral perturbation theory
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Reexamination of the standard model nucleon electric dipole moment
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High-Precision Determination of the π , K , D , and D s Decay Constants from Lattice QCD
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Pion vector form factor from lattice QCD at the physical point
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Algorithms for lattice QCD: progress and challenges
conference, January 2011

  • Schaefer, Stefan
  • THE IX INTERNATIONAL CONFERENCE ON QUARK CONFINEMENT AND THE HADRON SPECTRUM—QCHS IX, AIP Conference Proceedings
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Coulomb corrections to superallowed β decay in nuclei
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Flavor physics in the quark sector
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On the effect of excited states in lattice calculations of the nucleon axial charge
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Lattice computations of the pion form factor
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Strong coupling from the revised ALEPH data for hadronic τ decays
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ϵ K at next-to-next-to-leading order: The charm-top-quark contribution
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Chiral perturbation theory for staggered sea quarks and Ginsparg-Wilson valence quarks
journal, September 2005


A note on isospin violation in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>ℓ</mml:mi><mml:mn>2</mml:mn><mml:mo stretchy="false">(</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math> decays
journal, May 2011


The pion and proton mass in finite volume
journal, March 2006


Goldstone boson related finite size effects in field theory and critical phenomena with O(N) symmetry
journal, October 1990


Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016
journal, December 2017


Leading and next-to-leading QCD corrections to ɛ-parameter and mixing in the presence of a heavy top quark
journal, December 1990


Behavior of Current Divergences under SU 3 × SU 3
journal, November 1968


Weak transition form factors between heavy mesons
journal, March 1990


Scalar strange content of the nucleon from lattice QCD
journal, June 2013


Axial symmetries in lattice QCD with Kaplan fermions
journal, April 1995


QCD with light Wilson quarks on fine lattices (I): first experiences and physics results
journal, February 2007


Mass of the b quark from lattice NRQCD and lattice perturbation theory
journal, April 2013


D K , l ν semileptonic decay scalar form factor and | V c s | from lattice QCD
journal, December 2010


B K using HYP-smeared staggered fermions in N f = 2 + 1 unquenched QCD
journal, December 2010


Staggered heavy baryon chiral perturbation theory
journal, March 2008


Electromagnetic Splittings and Light Quark Masses in Lattice QCD
journal, May 1996


Update: Precision D s decay constant from full lattice QCD using very fine lattices
journal, December 2010


Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985


Strange quark mass from pseudoscalar sum rule with $O(\alpha_s^4)$ accuracy
journal, March 2006


Applications of partially quenched chiral perturbation theory
journal, May 1998


Chiral symmetry breaking and the Banks-Casher relation in lattice QCD with Wilson quarks
journal, March 2009


How perturbative are heavy sea quarks?
journal, June 2019


Quark condensate in two-flavor QCD
journal, November 2006


The running coupling of QCD with four flavors
journal, November 2010


Λ c Λ l + ν l Form Factors and Decay Rates from Lattice QCD with Physical Quark Masses
journal, February 2017


Neutral B -meson mixing from three-flavor lattice quantum chromodynamics: Determination of the S U ( 3 ) -breaking ratio ξ
journal, August 2012


Towards the five-loop Beta function for a general gauge group
journal, July 2016

  • Luthe, Thomas; Maier, Andreas; Marquard, Peter
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)127

B and B s meson decay constants from lattice QCD
journal, August 2012


Five-Loop Running of the QCD Coupling Constant
journal, February 2017


Final state interactions from euclidean correlation functions
journal, August 1990


Leading isospin breaking effects on the lattice
journal, June 2013


High-precision scale setting in lattice QCD
journal, September 2012

  • Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
  • Journal of High Energy Physics, Vol. 2012, Issue 9
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Neutral B mixing in staggered chiral perturbation theory
journal, June 2013


Octet baryon masses in partially quenched chiral perturbation theory
journal, January 2005


Isospin Breaking in the Nucleon Mass and the Sensitivity of β Decays to New Physics
journal, January 2014


B s 0 B ¯ s 0 mixing parameters from unquenched lattice QCD
journal, July 2007


Axial coupling constant of the nucleon for two flavors of dynamical quarks in finite and infinite volume
journal, November 2006


Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
journal, September 1997


A no-go theorem for regularizing chiral fermions
journal, October 1981


On the chiral effective meson-baryon Lagrangian at third order⋆
journal, September 2006


1 + 1 + 1 flavor QCD + QED simulation at the physical point
journal, August 2012


Integrating out strange quarks in ChPT
journal, August 2007


Pion and kaon masses in staggered chiral perturbation theory
journal, August 2003


Evidence for B τ ν ¯ τ with a Hadronic Tagging Method Using the Full Data Sample of Belle
journal, March 2013


Comparative tests of isospin-symmetry-breaking corrections to superallowed 0 + 0 + nuclear β decay
journal, December 2010


Standard model evaluation of ϵ K using lattice QCD inputs for B ^ K and V c b
journal, August 2015


Role of the double pole in lattice QCD with mixed actions
journal, June 2005


Nucleon masses and magnetic moments in a finite volume
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K π semileptonic form factors with N f = 2 + 1 + 1 twisted mass fermions
journal, June 2016


Chiral perturbation theory at O ( a 2 ) for lattice QCD
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The decay constants fD and f D s $$ {f}_{D_s} $$ in the continuum limit of Nf = 2 + 1 domain wall lattice QCD
journal, December 2017

  • Boyle, P. A.; Del Debbio, L.; Jüttner, A.
  • Journal of High Energy Physics, Vol. 2017, Issue 12
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Interpreting numerical measurements in fixed topological sectors
journal, June 2016


Calculation of K π π decay amplitudes with an improved Wilson fermion action in a nonzero momentum frame in lattice QCD
journal, December 2018


Remarks on the determination of the Landau gauge OPE for the asymmetric three gluon vertex
journal, October 2001


Accurate Determinations of α s from Realistic Lattice QCD
journal, July 2005


Staggered chiral perturbation theory at next-to-leading order
journal, June 2005


Δ S = 2 and Δ C = 2 bag parameters in the standard model and beyond from N f = 2 + 1 + 1 twisted-mass lattice QCD
journal, August 2015


Charm and strange quark masses and f D s from overlap fermions
journal, August 2015


Roy equation analysis of ππ scattering
journal, November 2001


Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
journal, July 2007


The QCD transition temperature: results with physical masses in the continuum limit II
journal, June 2009


Mass of the b quark and B -meson decay constants from N f = 2 + 1 + 1 twisted-mass lattice QCD
journal, June 2016


B-parameters for ΔS=2 supersymmetric operators
journal, April 1999


Average up/down, strange, and charm quark masses with N f = 2 twisted-mass lattice QCD
journal, December 2010


A non-perturbative exploration of the high energy regime in $$N_{\mathrm{f}}=3$$ N f = 3 QCD: ALPHA Collaboration
journal, May 2018


Controlling excited-state contamination in nucleon matrix elements
journal, June 2016


Precise determination of the lattice spacing in full lattice QCD
journal, February 2010


Λ b p ν ¯ and Λ b Λ c ν ¯ form factors from lattice QCD with relativistic heavy quarks
journal, August 2015


B D ν form factors at nonzero recoil and | V c b | from 2 + 1 -flavor lattice QCD
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αs from the non-perturbatively renormalised lattice three-gluon vertex
journal, September 1997


Non-perturbative quark mass renormalization in two-flavor QCD
journal, November 2005


Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
journal, July 2008


The chiral condensate in a finite volume
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Effective noise reduction techniques for disconnected loops in Lattice QCD
journal, September 2010

  • Bali, Gunnar S.; Collins, Sara; Schäfer, Andreas
  • Computer Physics Communications, Vol. 181, Issue 9
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Stability of lattice QCD simulations and the thermodynamic limit
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Dispersive bounds on the shape of form factors
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Nucleon axial charge and pion decay constant from two-flavor lattice QCD
journal, May 2014


A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
journal, October 1996


Finite-volume QED corrections to decay amplitudes in lattice QCD
journal, February 2017


Exactly massless quarks on the lattice
journal, January 1998


Isospin-symmetry-breaking corrections to superallowed Fermi β decay: Formalism and schematic models
journal, September 2008


Susskind fermions on a euclidean lattice
journal, November 1981


B D l ν form factors at nonzero recoil and extraction of | V c b |
journal, September 2015


High-Precision Lattice QCD Confronts Experiment
journal, January 2004


Light quark masses from QCD sum rules with minimal hadronic bias
journal, January 2009


Resonance parameters of the ρ meson from lattice QCD
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Twisted mass QCD, O ( a ) improvement, and Wilson chiral perturbation theory
journal, December 2004


Nucleon electromagnetic form factors in two-flavor QCD
journal, September 2015


Dual QCD Insight into BSM Hadronic Matrix Elements for $K^0$--$\bar K^0$ Mixing from Lattice QCD
journal, January 2019


Infinite N phase transitions in continuum Wilson loop operators
journal, March 2006


Non-perturbative determinations of B-meson decay constants and semi-leptonic form factors
conference, April 2017

  • Lizarazo, Edwin; Witzel, Oliver
  • Proceedings of 38th International Conference on High Energy Physics — PoS(ICHEP2016)
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Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
journal, June 2016


A mixed τ-electroproduction sum rule for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">|</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">|</mml:mo></mml:math>
journal, February 2009


Continuum limit and improved action in lattice theories
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| V u b | from B π ν decays and ( 2 + 1 )-flavor lattice QCD
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Isospin corrections for superallowed Fermi β decay in self-consistent relativistic random-phase approximation approaches
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Ghost-gluon running coupling, power corrections, and the determination of Λ MS ¯
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Scaling study of dynamical smeared-link clover fermions
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Flavour breaking effects in the pseudoscalar meson decay constants
journal, April 2017


Electromagnetic corrections in hadronic processes
journal, December 2003


The V puzzle: An update
journal, August 2019


The Yang-Mills gradient flow in finite volume
journal, November 2012

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  • Journal of High Energy Physics, Vol. 2012, Issue 11
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A critical appraisal and evaluation of modern PDFs
journal, August 2016


Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
journal, July 2018


Resonances in Coupled π K η K Scattering from Quantum Chromodynamics
journal, October 2014


A precise determination of αS from lattice QCD
journal, February 1995


Perturbative analysis of the gradient flow in non-abelian gauge theories
journal, February 2011


Maximum-likelihood approach to topological charge fluctuations in lattice gauge theory
journal, July 2014


On lattice actions for static quarks
journal, August 2005


A new chiral two-matrix theory for Dirac spectra with imaginary chemical potential
journal, March 2007


Gribov copies in the minimal Landau gauge: The influence on gluon and ghost propagators
journal, December 1997


Feynman-Hellmann approach to the spin structure of hadrons
journal, July 2014


Leading isospin-breaking corrections to pion, kaon, and charmed-meson masses with twisted-mass fermions
journal, June 2017


A precise determination of in quenched QCD
journal, August 2006


Rationale for UV-filtered clover fermions
journal, November 2006


B s D s ν form factors and the fragmentation fraction ratio f s / f d
journal, June 2017


Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model
journal, October 2000


η → 3π to one loop
journal, January 1985


Up, down, and strange nucleon axial form factors from lattice QCD
journal, June 2017


QED — A lattice investigation of the chiral phase transition and the nature of the continuum limit
journal, April 1990


Strange and charm quark spins from the anomalous Ward identity
journal, June 2017


Tensor form factor of D π ( K ) ν and D π ( K ) decays with N f = 2 + 1 + 1 twisted-mass fermions
journal, July 2018


I = 0 π π s -wave scattering length from lattice QCD
journal, July 2018


Determination of quark masses from n f = 4 lattice QCD and the RI-SMOM intermediate scheme
journal, July 2018


Lattice QCD at the physical point: simulation and analysis details
journal, August 2011

  • Dürr, S.; Fodor, Z.; Hoelbling, C.
  • Journal of High Energy Physics, Vol. 2011, Issue 8
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Topological susceptibility of QCD with dynamical Möbius domain-wall fermions
journal, April 2018

  • Aoki, S.; Cossu, G.; Fukaya, H.
  • Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 4
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Determination of α s from the QCD static energy
journal, December 2012


The lattice gradient flow at tree-level and its improvement
journal, September 2014

  • Fodor, Zoltan; Holland, Kieran; Kuti, Julius
  • Journal of High Energy Physics, Vol. 2014, Issue 9
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The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
journal, November 2013

  • Brandt, Bastian B.; Jüttner, Andreas; Wittig, Hartmut
  • Journal of High Energy Physics, Vol. 2013, Issue 11
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First Monte Carlo Global Analysis of Nucleon Transversity with Lattice QCD Constraints
journal, April 2018


Light quarks at low temperatures
journal, January 1987


Resonance parameters of the rho-meson from asymmetrical lattices
journal, January 2013


ππ scattering
journal, June 2001


Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
journal, September 2008


Relativistic Heavy Quarks on the Lattice
journal, March 2003

  • Aoki, S.; Kuramashi, Y.; Tominaga, S. -i.
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Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme
journal, August 2010

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The four-loop β-function in quantum chromodynamics
journal, May 1997


A method to measure the antikaon–nucleon scattering length in lattice QCD
journal, November 2009


Lattice QCD at the physical point: Light quark masses
journal, July 2011


D π , l ν semileptonic decays, | V c d | and second row unitarity from lattice QCD
journal, December 2011


Enhanced chiral logarithms in partially quenched QCD
journal, December 1997


The Problem of mass
journal, November 1977


Non-perturbative quark mass renormalization in quenched lattice QCD
journal, April 1999


Spectral density of the QCD Dirac operator near zero virtuality
journal, June 1993


Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
journal, October 2017


K π l ν semileptonic form factors from two-flavor lattice QCD
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Estimating the unquenched strange quark mass from the lattice axial Ward identity
journal, March 2006


High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD
journal, September 2008


Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
journal, September 2008


I = 2 π π scattering from fully-dynamical mixed-action lattice QCD
journal, March 2006


Υ spectrum and m b from full lattice QCD
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Semileptonic kaon decay in staggered chiral perturbation theory
journal, March 2014


Chiral perturbation theory to one loop
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Constraints on Form Factors for Exclusive Semileptonic Heavy to Light Meson Decays
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Charm and bottom quark masses: An update
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Model-independent extraction of the proton charge radius from electron scattering
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Monte Carlo simulation of the massive Schwinger model
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Consistency between SU(3) and SU(2) covariant baryon chiral perturbation theory for the nucleon mass
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Improved extraction of valence transversity distributions from inclusive dihadron production
journal, May 2015

  • Radici, Marco; Courtoy, A.; Bacchetta, Alessandro
  • Journal of High Energy Physics, Vol. 2015, Issue 5
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Scattering lengths for two pseudoscalar meson systems
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Evidence of B + τ + ν decays with hadronic B tags
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Regge analysis of the ππ scattering amplitude
journal, February 2012


Elastic ππ scattering to two loops
journal, May 1996


Improved interpolating fields for hadrons at non-zero momentum
journal, October 2012


Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
journal, November 2012


Isospin breaking and the precise determination of Vud
journal, May 1990


Determination of ΛMS from quenched and Nf=2 dynamical QCD
journal, November 2001


QCD decoupling at four loops
journal, June 2006


Follow-up on non-leptonic Kaon decays at large $N_c$
conference, May 2019

  • Romero-Lopez, Fernando; Donini, Andrea; Hernandez, Pilar
  • Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
  • DOI: 10.22323/1.334.0278

Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy
journal, December 2012


S U ( 2 ) low-energy constants from mixed-action lattice QCD
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Two-point functions at two loops in three flavour chiral perturbation theory
journal, February 2000


Ratio F K / F π in QCD
journal, March 2010


f K / f π in full QCD with domain wall valence quarks
journal, May 2007


B ( s ) 0 -mixing matrix elements from lattice QCD for the Standard Model and beyond
journal, June 2016


Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point
journal, April 2016


Lattice calculation of 1/ p 2 corrections to α s and of Λ (QCD) in the MOM -tilde scheme
journal, March 2000

  • Boucaud, Philippe; Burgio, Giuseppe; Renzo, Francesco Di
  • Journal of High Energy Physics, Vol. 2000, Issue 04
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Chiral representation of the π N scattering amplitude and the pion-nucleon sigma term
journal, March 2012


B K l + l decay form factors from three-flavor lattice QCD
journal, January 2016


Viability of lattice perturbation theory
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Beyond the standard model kaon mixing with physical masses.
conference, May 2019

  • Kettle, Julia; Boyle, Peter A.; Garron, Nicolas
  • Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
  • DOI: 10.22323/1.334.0285

Nonrenormalization Theorem for the Strangeness-Violating Vector Currents
journal, August 1964


How heavy must quarks BE in order to build coulombic bound states?
journal, May 1980


Renormalisation and off-shell improvement in lattice perturbation theory
journal, January 2001


Lattice QCD calculation of the B ( s ) D ( s ) * ν form factors at zero recoil and implications for | V c b |
journal, March 2018


Review of Particle Physics
journal, October 2016


Kaon B Parameter from Improved Staggered Fermions in N f = 2 + 1 QCD
journal, July 2012


Strong-coupling calculations of lattice gauge theories: (1 + 1)-dimensional exercises
journal, February 1976


New class of variance-reduction techniques using lattice symmetries
journal, November 2013


Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013


Finite energy chiral sum rules and τ spectral functions
journal, October 1998


Static quark potential in three flavor QCD
journal, July 2000


mu+md from isovector pseudoscalar sum rules
journal, October 2001


Topological susceptibility with the improved Asqtad action
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Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
journal, July 2014


Random Matrix Theory and Chiral Symmetry in QCD
journal, December 2000


Flavor-symmetry restoration and Symanzik improvement for staggered quarks
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New methods for B meson decay constants and form factors from lattice NRQCD
journal, March 2018


Study of exclusive B X u ν decays and extraction of | V u b | using full reconstruction tagging at the Belle experiment
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Strange Quark Condensate in the Nucleon in 2 + 1 Flavor QCD
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Comment on “’t Hooft vertices, partial quenching, and rooted staggered QCD”
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Reply to “Comment on ‘ ’t Hooft vertices, partial quenching, and rooted staggered QCD’ ”
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Chiral Symmetry Breaking in QCD with Two Light Flavors
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Analyticity, shapes of semileptonic form factors, and B ¯ π l ν ¯
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Measurement of | V cb | and the Form-Factor Slope in B ¯ D ν ¯ Decays in Events Tagged by a Fully Reconstructed B Meson
journal, January 2010


On pion and kaon decay constants and their chiral SU(3) extrapolations
journal, August 2019


Nucleon tensor charges and electric dipole moments
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Model Independent Analysis of Proton Structure for Hydrogenic Bound States
journal, October 2011


Calculation of K π π decay amplitudes with improved Wilson fermion action in lattice QCD
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θ dependence of SU( N ) gauge theories
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  • Debbio, Luigi Del; Panagopoulos, Haralambos; Vicari, Ettore
  • Journal of High Energy Physics, Vol. 2002, Issue 08
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Twisted-mass lattice QCD with mass non-degenerate quarks
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Standard Model anatomy of WIMP dark matter direct detection. II. QCD analysis and hadronic matrix elements
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Scalar K π form factor and light-quark masses
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Truncated Overlap Fermions
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Extracting the electromagnetic pion form factor from QCD in a finite volume
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Lattice QCD at the physical point meets S U ( 2 ) chiral perturbation theory
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High-precision determination of the light-quark masses from realistic lattice QCD
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Staggered chiral perturbation theory and the fourth-root trick
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Staggered fermions, zero modes, and flavor-singlet mesons
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Unquenched determination of the kaon parameter B K from improved staggered fermions
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Charm- and bottom-quark masses from perturbative QCD
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Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks
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Neutral kaon mixing beyond the Standard Model with n f = 2 + 1 chiral fermions. Part 2: non perturbative renormalisation of the ΔF = 2 four-quark operators
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Massive fermions in lattice gauge theory
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Leading isospin-breaking corrections to meson masses on the lattice
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Improved Experimental Limit on the Electric Dipole Moment of the Neutron
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Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL-> Formula, K+-> + Formula and K0 Formula0
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Leptonic decay-constant ratio f K / f π from lattice QCD using 2 + 1 clover-improved fermion flavors with 2-HEX smearing
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Chiral perturbation theory in a θ vacuum
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Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
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B K with two flavors of dynamical overlap fermions
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The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
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