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Review of lattice results concerning low-energy particle physics

Journal Article · · European Physical Journal. C, Particles and Fields
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We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle physics community. More specifically, we report on the determination of the light-quark masses, the form factor f+(0), arising in semileptonic K -> pi transition at zero momentum transfer, as well as the decay constant ratio fK/fpi of decay constants and its consequences for the CKM matrix elements Vus and Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)LxSU(2)R and SU(3)LxSU(3)R Chiral Perturbation Theory and review the determination of the BK parameter of neutral kaon mixing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, for this review, we focus on D- and B-meson decay constants, form factors, and mixing parameters, since these are most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. In addition we review the status of lattice determinations of the strong coupling constant alpha_s.
Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
FLAG Working Group
Grant/Contract Number:
AC02-07CH11359
OSTI ID:
1156486
Alternate ID(s):
OSTI ID: 22284064
Report Number(s):
CP3-ORIGINS--2013-040-DNRF90; DIAS--2013-40; FERMILAB-PUB--13-484-T; FTUAM--13-28; IFT-UAM-CSIC--13-106; YITP-13-114; arXiv eprint number arXiv:1310.8555
Journal Information:
European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Journal Issue: 9 Vol. 74; ISSN 1434-6044
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

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Algorithms for lattice QCD: progress and challenges
  • Schaefer, Stefan
  • THE IX INTERNATIONAL CONFERENCE ON QUARK CONFINEMENT AND THE HADRON SPECTRUM—QCHS IX, AIP Conference Proceedings https://doi.org/10.1063/1.3574948
conference January 2011
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Non-perturbative Heavy Quark Effective Theory journal February 2004
Order p 6 chiral couplings from the scalar K   form factor journal February 2004
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On lattice actions for static quarks journal August 2005
Non-perturbative power corrections to ghost and gluon propagators journal January 2006
The equation of state in lattice QCD: with physical quark masses towards the continuum limit journal January 2006
Stability of lattice QCD simulations and the thermodynamic limit journal February 2006
Rationale for UV-filtered clover fermions journal November 2006
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Non-perturbative improvement of the axial current with three dynamical flavors and the Iwasaki gauge action journal April 2007
Hadronic form factors in lattice QCD at small and vanishing momentum transfer journal May 2007
Hypercubic smeared links for dynamical fermions journal May 2007
Theoretical update of B s −bar B s mixing journal June 2007
Inclusive semileptonic B decays and the determination of | V ub | journal October 2007
η→3π at two loops in Chiral Perturbation Theory journal November 2007
Equivalence of QCD in the ϵ-regime and chiral random matrix theory with or without chemical potential journal December 2007
Light quark masses and pseudoscalar decay constants from N f = 2 lattice QCD with twisted mass fermions journal April 2008
Non-perturbative renormalisation of Δ F = 2 four-fermion operators in two-flavour QCD journal May 2008
The pion's electromagnetic form factor at small momentum transfer in full lattice QCD journal July 2008
α s and the τ hadronic width: fixed-order, contour- improved and higher-order perturbation theory journal September 2008
Finite volume scaling of pseudo Nambu-Goldstone bosons in QCD journal October 2008
The chiral condensate in a finite volume journal January 2009
The epsilon regime with Wilson fermions journal March 2009
Chiral symmetry breaking and the Banks-Casher relation in lattice QCD with Wilson quarks journal March 2009
Universality of mixed action extrapolation formulae journal April 2009
Pseudoscalar decay constants of kaon and D -mesons from N f = 2 twisted mass Lattice QCD journal July 2009
Precise determination of the strong coupling constant in N f = 2+1 lattice QCD with the Schrödinger functional scheme journal October 2009
2+1 flavor QCD simulated in the ϵ-regime in different topological sectors journal November 2009
Charmed hadron spectroscopy on the lattice for N f = 2 + 1 flavours journal March 2013
Departures from the Eightfold Way. III. Pseudoscalar-Meson Electromagnetic Masses journal March 1965
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Chiral SU ( 3 ) ⊗ SU ( 3 ) as a Symmetry of the Strong Interactions journal July 1969
First-order transitions breaking O( n ) symmetry: Finite-size scaling journal July 1985
Improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi β decay journal February 2008
Isospin-symmetry-breaking corrections to superallowed Fermi β decay: Formalism and schematic models journal September 2008
Coulomb corrections to superallowed β decay in nuclei journal March 2009
Superallowed 0 + → 0 + nuclear β decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model journal May 2009
Isospin corrections for superallowed Fermi β decay in self-consistent relativistic random-phase approximation approaches journal June 2009
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Exclusive semileptonic decays of B mesons into light mesons journal July 1994
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Smallest Dirac eigenvalue distribution from random matrix theory journal September 1998
Finite energy chiral sum rules and τ spectral functions journal October 1998
Flavor-symmetry restoration and Symanzik improvement for staggered quarks journal February 1999
Variants of fattening and flavor symmetry restoration journal July 1999
α S from Υ spectroscopy with dynamical Wilson fermions journal September 1999
Infrared behavior of the static potential in perturbative QCD journal October 1999
Asymptotic behavior of the gluon propagator from lattice QCD journal October 1999
Partial flavor symmetry restoration for chiral staggered fermions journal November 1999
Asymptotic scaling of the gluon propagator on the lattice journal May 2000
Application of heavy-quark effective theory to lattice QCD: Power corrections journal June 2000
Static quark potential in three flavor QCD journal July 2000
Physical results from unphysical simulations journal October 2000
Distribution of the k th smallest Dirac operator eigenvalue journal January 2001
Testing the Landau gauge operator product expansion on the lattice with a 〈 A 2 〉 condensate journal April 2001
New approach to Ginsparg-Wilson fermions journal April 2001
Semileptonic decays B → π l ν and D → π l ν from lattice QCD journal May 2001
Flavor symmetry and the static potential with hypercubic blocking journal July 2001
Precision determination of | V ub | from inclusive decays journal November 2001
Remarks on the determination of the Landau gauge OPE for the asymmetric three gluon vertex journal October 2001
Heavy-meson observables at one-loop in partially quenched chiral perturbation theory journal January 2002
Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents journal May 2002
Application of heavy-quark effective theory to lattice QCD. III. Radiative corrections to heavy-heavy currents journal May 2002
Lattice calculation of the zero-recoil form factor of B ¯ → D * l ν ¯ : Toward a model independent determination of | V cb | journal July 2002
Chiral perturbation theory for the Wilson lattice action journal September 2002
Scale setting for α s beyond leading order journal February 2003
Simulations with different lattice Dirac operators for valence and sea quarks journal June 2003
Pion and kaon masses in staggered chiral perturbation theory journal August 2003
Light hadron spectroscopy with two flavors of O ( a )-improved dynamical quarks journal September 2003
Chiral perturbation theory with Wilson-type fermions including a 2 effects: N f = 2 degenerate case journal September 2003
Pseudoscalar decay constants in staggered chiral perturbation theory journal October 2003
Analytic smearing of SU ( 3 ) link variables in lattice QCD journal March 2004
First determination of the strange and light quark masses from full lattice QCD journal August 2004
Chiral perturbation theory at O ( a 2 ) for lattice QCD journal August 2004
Scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions journal October 2004
Staggered eigenvalue mimicry journal November 2004
Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD journal December 2004
Twisted mass QCD, O ( a ) improvement, and Wilson chiral perturbation theory journal December 2004
New results on B → π , K , η decay form factors from light-cone sum rules journal January 2005
Locality of the fourth root of the staggered-fermion determinant: Renormalization-group approach journal February 2005
Scaling tests with dynamical overlap and rooted staggered fermions journal March 2005
Twisted mass chiral perturbation theory at next-to-leading order journal April 2005
Systematics of staggered fermion spectral properties and topology journal May 2005
Staggered chiral perturbation theory at next-to-leading order journal June 2005
Role of the double pole in lattice QCD with mixed actions journal June 2005
Chiral perturbation theory for staggered sea quarks and Ginsparg-Wilson valence quarks journal September 2005
Lattice computations of the pion form factor journal September 2005
Theory of charmless inclusive B decays and the extraction of V u b journal October 2005
Υ spectrum and m b from full lattice QCD journal November 2005
Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory journal December 2005
Lattice QCD with two dynamical flavors of domain wall fermions journal December 2005
Heavy-to-light meson form factors at large recoil journal January 2006
Effects of staggered fermions and mixed actions on the scalar correlator journal January 2006
Determination of the Lambda parameter from full lattice QCD journal January 2006
Staggered chiral perturbation theory for heavy-light mesons journal January 2006
Nonperturbative O ( a ) improvement of the Wilson quark action with the renormalization-group-improved gauge action using the Schrödinger functional method journal February 2006
Estimating the unquenched strange quark mass from the lattice axial Ward identity journal March 2006
B meson semileptonic form factors from unquenched lattice QCD journal April 2006
Three-flavor partially quenched chiral perturbation theory at NNLO for meson masses and decay constants journal April 2006
High-precision determination of the light-quark masses from realistic lattice QCD journal June 2006
Unquenched determination of the kaon parameter B K from improved staggered fermions journal June 2006
Staggered chiral perturbation theory and the fourth-root trick journal June 2006
Lattice study of semileptonic form factors with twisted boundary conditions journal June 2006
Observations on staggered fermions at nonzero lattice spacing journal June 2006
Lattice fermions with complex mass journal July 2006
Strange quark mass from e + e − revisited and present status of light quark masses journal August 2006
Gap domain wall fermions journal August 2006
Extrapolations of lattice meson form factors journal August 2006
Charm- and bottom-quark masses from perturbative QCD journal October 2006
Scalar K π form factor and light-quark masses journal October 2006
Quark condensate in two-flavor QCD journal November 2006
Lattice gauge action suppressing near-zero modes of H W journal November 2006
Vector form factor in K l 3 semileptonic decay with two flavors of dynamical domain-wall quarks journal December 2006
Two meson systems with Ginsparg-Wilson valence quarks journal March 2007
Highly improved staggered quarks on the lattice with applications to charm physics journal March 2007
Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe journal March 2007
f K / f π in full QCD with domain wall valence quarks journal May 2007
B s 0 − B ¯ s 0 mixing parameters from unquenched lattice QCD journal July 2007
Two-flavor lattice QCD in the ϵ regime and chiral random matrix theory journal September 2007
Finite volume QCD at fixed topological charge journal September 2007
Relativistic heavy quark effective action journal October 2007
Scalar meson spectroscopy with lattice staggered fermions journal November 2007
Parameters of the lowest order chiral Lagrangian from fermion eigenvalues journal November 2007
Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions journal December 2007
Localization and chiral symmetry in three flavor domain wall QCD journal January 2008
Staggered heavy baryon chiral perturbation theory journal March 2008
Lattice study of meson correlators in the ϵ -regime of two-flavor QCD journal April 2008
Effective field theories for QCD with rooted staggered fermions journal April 2008
B K with two flavors of dynamical overlap fermions journal May 2008
Rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing journal May 2008
Discretization effects and the scalar meson correlator in mixed-action lattice simulations journal June 2008
’t Hooft vertices, partial quenching, and rooted staggered QCD journal June 2008
Four fermion operator matching with nonrelativistic QCD heavy and asqtad light quarks journal June 2008
Light-quark masses from unquenched lattice QCD journal July 2008
Correlations among new C P violating effects in Δ F = 2 observables journal August 2008
Nonperturbative renormalization of quark bilinear operators and B K using domain wall fermions journal September 2008
Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions journal September 2008
High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD journal September 2008
Comment on “’t Hooft vertices, partial quenching, and rooted staggered QCD” journal October 2008
Realistic lattice determination of α s ( M Z ) revisited journal December 2008
Update: Accurate determinations of α s from realistic lattice QCD journal December 2008
Physical results from 2 + 1 flavor domain wall QCD and SU(2) chiral perturbation theory journal December 2008
Model-independent description of B → π l ν decays and a determination of | V u b | journal January 2009
Scaling study of dynamical smeared-link clover fermions journal January 2009
Ghost-gluon running coupling, power corrections, and the determination of Λ MS ¯ journal January 2009
2 + 1 flavor lattice QCD toward the physical point journal February 2009
Electromagnetic form factor of the pion from twisted-mass lattice QCD at N f = 2 journal April 2009
Lattice study of the vacuum polarization function and determination of the strong coupling constant journal April 2009
Bottomonium spectrum from lattice QCD with 2 + 1 flavors of domain wall fermions journal May 2009
Mixed action effective field theory: An addendum journal June 2009
Neutral B meson mixing in unquenched lattice QCD journal July 2009
QCD static energy at next-to-next-to-next-to leading-logarithmic accuracy journal August 2009
Visualization of semileptonic form factors from lattice QCD journal August 2009
Topological susceptibility to the one-loop order in chiral perturbation theory journal August 2009
Pion form factors from two-flavor lattice QCD with exact chiral symmetry journal August 2009
Charm and bottom quark masses: An update journal October 2009
K → π l ν semileptonic form factors from two-flavor lattice QCD journal December 2009
S parameter in QCD from domain wall fermions journal January 2010
Neutral kaon mixing parameter B K from unquenched mixed-action lattice QCD journal January 2010
Chiral perturbation theory in a θ vacuum journal February 2010
Lattice QCD inputs to the CKM unitarity triangle analysis journal February 2010
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Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions journal October 2010
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B K using HYP-smeared staggered fermions in N f = 2 + 1 unquenched QCD journal December 2010
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Precise B , B s , and B c meson spectroscopy from full lattice QCD journal January 2011
Tuning Fermilab heavy quarks in 2 + 1 flavor lattice QCD with application to hyperfine splittings journal February 2011
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Continuum limit of B K from 2 + 1 flavor domain wall QCD journal July 2011
Staggered fermions, zero modes, and flavor-singlet mesons journal September 2011
D and D s meson spectroscopy journal September 2011
Charm quark system at the physical point of 2 + 1 flavor lattice QCD journal October 2011
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High-precision f B s and heavy quark effective theory from relativistic lattice QCD journal February 2012
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Chiral and deconfinement aspects of the QCD transition journal March 2012
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Higher angular momentum states of bottomonium in lattice nonrelativistic QCD journal June 2012
Review of Particle Physics journal July 2012
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B and B s meson decay constants from lattice QCD journal August 2012
1 + 1 + 1 flavor QCD + QED simulation at the physical point journal August 2012
| V c d | from D meson leptonic decays journal September 2012
Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD journal October 2012
Lattice determination of the K → ( π π ) I = 2 decay amplitude A 2 journal October 2012
S U ( 2 ) low-energy constants from mixed-action lattice QCD journal November 2012
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Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy journal December 2012
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Lattice QCD ensembles with four flavors of highly improved staggered quarks journal March 2013
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Domain wall QCD with near-physical pions journal May 2013
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Leading isospin breaking effects on the lattice journal June 2013
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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 journal October 2013
Chiral perturbation theory for all-staggered heavy-light mesons journal November 2013
Inclusive semileptonic fits, heavy quark masses, and V c b journal January 2014
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Three-Loop Static Potential journal March 2010
Static QCD Potential at Three-Loop Order journal March 2010
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Chiral Symmetry Breaking in QCD with Two Light Flavors journal March 2015
Nonrenormalization Theorem for the Strangeness-Violating Vector Currents journal August 1964
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Symmetry Breaking through Bell-Jackiw Anomalies journal July 1976
Determination of the strong coupling constant from the charmonium spectrum journal August 1992
Spectral density of the QCD Dirac operator near zero virtuality journal June 1993
Spectrum of the QCD Dirac operator and chiral random matrix theory journal April 1994
Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD journal January 1995
Constraints on Form Factors for Exclusive Semileptonic Heavy to Light Meson Decays journal June 1995
Electromagnetic Splittings and Light Quark Masses in Lattice QCD journal May 1996
Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme journal September 1997
High-Precision Lattice QCD Confronts Experiment journal January 2004
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Brillouin improvement for Wilson fermions journal June 2011
Form factors for Λ b → Λ transitions in the soft-collinear effective theory journal January 2012
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Why rooting fails conference March 2008
SM parameters and heavy quarks on the lattice conference March 2008
Status of the MILC light pseudoscalar meson project
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Light quark masses conference February 2010
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Status of dynamical ensemble generation conference June 2010
The epsilon regime of chiral perturbation theory with Wilson-type fermions conference June 2010
Chiral properties of light mesons with $N_f=2+1$ overlap fermions conference June 2010
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Determination of $B_K$ using improved staggered fermions (IV) conference June 2010
Topology, the Wilson Flow & the HMC Algorithm conference June 2011
Electromagnetic corrections to light hadron masses
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Form factors of the D\rightarrow pion and D\rightarrow K semileptonic decays conference June 2011
Finite Volume Effects in B_K with improved staggered fermions conference July 2012
Systematic errors in partially-quenched QCD plus QED lattice simulations
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  • Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011) https://doi.org/10.22323/1.139.0136
conference July 2012
Current-Current correlators in Twisted Mass Lattice QCD conference July 2012
Neutral B mixing from 2+1 flavor lattice QCD: the Standard Model and beyond
  • Freeland, Elizabeth; Bouchard, Chris; Bernard, C.
  • Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011) https://doi.org/10.22323/1.139.0274
conference July 2012
Kaon semileptonic form factors in QCD with exact chiral symmetry conference July 2012
Continuum Results for Light Hadronic Quantities using Domain Wall Fermions with the Iwasaki and DSDR Gauge Actions conference July 2012
The D to K and D to pi semileptonic decay form factors from Lattice QCD conference July 2012
B and D meson decay constants from 2+1 flavor improved staggered simulations conference July 2012
B-meson decay constants using domain-wall light quarks and nonperturbatively tuned relativistic b-quarks conference December 2012
Neutral meson oscillations in the Standard Model and beyond from Nf=2 Twisted Mass Lattice QCD
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  • Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0105
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  • Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0118
conference December 2012
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Staggered Chiral Perturbation Theory for all-staggered heavy- light mesons conference December 2012
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conference December 2012
Charm semileptonic decays and |Vcs(d)| from heavy clover quarks and 2+1 flavor asqtad staggered ensembles
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  • Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0272
conference December 2012
B-physics from HQET in two-flavour lattice QCD conference December 2012
Radiative decays of charmonia on the lattice conference May 2013
Corrections to the Banks-Casher relation with Wilson quarks conference July 2013
Inclusion of Isospin Breaking Effects in Lattice Calculations conference November 2013
Convergence Issues in ChPT: A Lattice Perspective conference November 2013
Semileptonic D-decays with twisted mass QCD on the lattice
  • Sanfilippo, Francesco; Becirevic, Damir; Lubicz, Vittorio
  • Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013) https://doi.org/10.22323/1.187.0391
conference April 2014
2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors text January 2007
Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions text January 2007
An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay text January 2007
't Hooft vertices, partial quenching, and rooted staggered QCD text January 2007
Effective field theories for QCD with rooted staggered fermions text January 2007
Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models text January 2008
The second physical moment of the heavy quark vector correlator at O(alpha_s^3) text January 2008
Status of the Hadronic Tau Determination of V_us text January 2008
Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD text January 2008
Coulomb corrections to superallowed beta decay in nuclei text January 2008
Charm and Bottom Quark Masses: an Update text January 2009
Flavor Physics in the Quark Sector text January 2009
Physical Point Simulation in 2+1 Flavor Lattice QCD text January 2009
HQET at order 1/m: III. Decay constants in the quenched approximation text January 2010
SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition text January 2010
Systematic errors in partially-quenched QCD plus QED lattice simulations preprint January 2012
SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations text January 2012
The pion mass in finite volume text January 2003
Lattice gauge action suppressing near-zero modes of H_W text January 2006
Exactly massless quarks on the lattice text January 1997
Masses of Mesons with Charm Valence Quarks from 2+1+1 Flavor Twisted Mass Lattice QCD journal January 2013

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