Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)

Aoki, S.; Aoki, Y.; Bečirević, D.; Bernard, C.; Blum, T.; Colangelo, G.; Della Morte, M.; Dimopoulos, P.; Dürr, S.; Fukaya, H.; Golterman, M.; Gottlieb, Steven; Hashimoto, S.; Heller, U. M.; Horsley, R.; Jüttner, A.; Kaneko, T.; Lellouch, L.; Leutwyler, H.; Lin, C. -J.  D.; Lubicz, V.; Lunghi, E.; Mawhinney, R.; Onogi, T.; Pena, C.; Sachrajda, C. T.; Sharpe, S. R.; Simula, S.; Sommer, R.; Vladikas, A.; Wenger, U.; Wittig, H.

doi:10.1140/epjc/s10052-016-4509-7

Title: Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)

Abstract

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 the semileptonic K → π transition at zero momentum transfer, as well as the decay constant ratio f_K/f_π 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 × SU(2)_R and SU(3)_L × 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. The latter quantities are an addition compared to the previous review. For the heavy-quark sector, we provide results for m_c and m_b (also new compared to the previous review), 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. Finally, we review the status of lattice determinations of the strongmore » coupling constant α_s.« less

Publication Date:: Fri Feb 17 00:00:00 EST 2017

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Org.:: Flavour Lattice Averaging Group (FLAG)

OSTI Identifier:: 1595487

Grant/Contract Number:: SC0011637

Resource Type:: Accepted Manuscript

Journal Name:: European Physical Journal. C, Particles and Fields

Additional Journal Information:: Journal Volume: 77; 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., Bernard, C., Blum, T., Colangelo, G., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Hashimoto, S., Heller, U. M., Horsley, R., Jüttner, A., Kaneko, T., Lellouch, L., Leutwyler, H., Lin, C. -J.  D., Lubicz, V., Lunghi, E., Mawhinney, R., Onogi, T., Pena, C., Sachrajda, C. T., Sharpe, S. R., Simula, S., Sommer, R., Vladikas, A., Wenger, U., and Wittig, H. Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG).  United States: N. p., 2017. 
Web.  doi:10.1140/epjc/s10052-016-4509-7.

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                    Aoki, S., Aoki, Y., Bečirević, D., Bernard, C., Blum, T., Colangelo, G., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Hashimoto, S., Heller, U. M., Horsley, R., Jüttner, A., Kaneko, T., Lellouch, L., Leutwyler, H., Lin, C. -J.  D., Lubicz, V., Lunghi, E., Mawhinney, R., Onogi, T., Pena, C., Sachrajda, C. T., Sharpe, S. R., Simula, S., Sommer, R., Vladikas, A., Wenger, U., & Wittig, H. Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG).  United States.  https://doi.org/10.1140/epjc/s10052-016-4509-7

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                    Aoki, S., Aoki, Y., Bečirević, D., Bernard, C., Blum, T., Colangelo, G., Della Morte, M., Dimopoulos, P., Dürr, S., Fukaya, H., Golterman, M., Gottlieb, Steven, Hashimoto, S., Heller, U. M., Horsley, R., Jüttner, A., Kaneko, T., Lellouch, L., Leutwyler, H., Lin, C. -J.  D., Lubicz, V., Lunghi, E., Mawhinney, R., Onogi, T., Pena, C., Sachrajda, C. T., Sharpe, S. R., Simula, S., Sommer, R., Vladikas, A., Wenger, U., and Wittig, H. Fri .  
"Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)".  United States.  https://doi.org/10.1140/epjc/s10052-016-4509-7.  https://www.osti.gov/servlets/purl/1595487.

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@article{osti_1595487,

  title        = {Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)},

  author       = {Aoki, S. and Aoki, Y. and Bečirević, D. and Bernard, C. and Blum, T. and Colangelo, G. and Della Morte, M. and Dimopoulos, P. and Dürr, S. and Fukaya, H. and Golterman, M. and Gottlieb, Steven and Hashimoto, S. and Heller, U. M. and Horsley, R. and Jüttner, A. and Kaneko, T. and Lellouch, L. and Leutwyler, H. and Lin, C. -J.  D. and Lubicz, V. and Lunghi, E. and Mawhinney, R. and Onogi, T. and Pena, C. and Sachrajda, C. T. and Sharpe, S. R. and Simula, S. and Sommer, R. and Vladikas, A. and Wenger, U. and Wittig, H.},

  abstractNote = {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 the semileptonic K → π transition at zero momentum transfer, as well as the decay constant ratio fK/fπ 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)L × SU(2)R and SU(3)L × SU(3)R Chiral Perturbation Theory. We review the determination of the BK parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. The latter quantities are an addition compared to the previous review. For the heavy-quark sector, we provide results for mc and mb (also new compared to the previous review), 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. Finally, we review the status of lattice determinations of the strong coupling constant αs.},

  doi          = {10.1140/epjc/s10052-016-4509-7},

  journal      = {European Physical Journal. C, Particles and Fields},

  number       = 2,

  volume       = 77,

  place        = {United States},

  year         = {Fri Feb 17 00:00:00 EST 2017},

  month        = {Fri Feb 17 00:00:00 EST 2017}

}

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Comment on form-factor shape and extraction of <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>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">|</mml:mo></mml:math> from <mml:math altimg="si2.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:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>l</mml:mi><mml:mi>ν</mml:mi></mml:math>
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Physical Review D, Vol. 93, Issue 3
DOI: 10.1103/physrevd.93.036006

QCD and strongly coupled gauge theories: challenges and perspectives
journal, October 2014

Brambilla, N.; Eidelman, S.; Foka, P.
The European Physical Journal C, Vol. 74, Issue 10
DOI: 10.1140/epjc/s10052-014-2981-5

Extraction of $$|V_{cd}|$$ | V cd | and $$|V_{cs}|$$ | V cs | from experimental decay rates using lattice QCD $$D \rightarrow \pi (K) \ell \nu $$ D → π ( K ) ℓ ν form factors
journal, June 2018

Riggio, L.; Salerno, G.; Simula, S.
The European Physical Journal C, Vol. 78, Issue 6
DOI: 10.1140/epjc/s10052-018-5943-5

Lattice QCD and Neutrino-Nucleus Scattering
text, January 2019

Kronfeld, Andreas S.; Richards, David G.; Detmold, William
arXiv
DOI: 10.48550/arxiv.1904.09931

Singularity-free next-to-leading order ΔS = 1 renormalization group evolution and ϵ K ′ /ϵK in the Standard Model and beyond
journal, December 2016

Kitahara, Teppei; Nierste, Ulrich; Tremper, Paul
Journal of High Energy Physics, Vol. 2016, Issue 12
DOI: 10.1007/jhep12(2016)078

| V u s | from K ℓ 3 decay and four-flavor lattice QCD
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Bazavov, A.; Bernard, C.; DeTar, C.
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DOI: 10.1103/physrevd.99.114509

Flavor-Safe Light Squarks in Higgs-Anomaly Mediation
text, January 2018

Yanagida, Tsutomu T.; Yin, Wen; Yokozaki, Norimi
arXiv
DOI: 10.48550/arxiv.1801.05785

$$B_c\rightarrow B_{sJ}$$ B c → B s J form factors and $$B_c$$ B c decays into $$B_{sJ}$$ B s J in covariant light-front approach
journal, October 2016

Shi, Yu-Ji; Wang, Wei; Zhao, Zhen-Xing
The European Physical Journal C, Vol. 76, Issue 10
DOI: 10.1140/epjc/s10052-016-4405-1

First determination of f +(0)|V us | from a combined analysis of τ → Kπν τ decay and πK scattering with constraints from K ℓ3 decays
journal, June 2014

Bernard, Véronique
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/jhep06(2014)082

Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays
journal, February 2018

Abada, Asmaa; De Romeri, Valentina; Lucente, Michele
Journal of High Energy Physics, Vol. 2018, Issue 2
DOI: 10.1007/jhep02(2018)169

Chiral condensate from renormalization group optimized perturbation
journal, October 2015

Kneur, Jean-Loïc; Neveu, André
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DOI: 10.1103/physrevd.92.074027

Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review
text, January 2017

Hill, Richard J.; Kammel, Peter; Marciano, William J.
arXiv
DOI: 10.48550/arxiv.1708.08462

Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π
journal, November 2018

Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich
The European Physical Journal C, Vol. 78, Issue 11
DOI: 10.1140/epjc/s10052-018-6377-9

Light charged Higgs bosons decaying to charm and bottom quarks in models with two or more Higgs doublets
journal, June 2012

Akeroyd, A. G.; Moretti, S.; Hernández-Sánchez, J.
Physical Review D, Vol. 85, Issue 11
DOI: 10.1103/physrevd.85.115002

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Title: Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)

Abstract

Citation Formats

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

The chiral condensate in a finite volume journal, January 2009

Stability of lattice QCD simulations and the thermodynamic limit journal, February 2006

A perturbative determination of mass dependent improvement coefficients in a relativistic heavy quark action journal, October 2004

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

Semileptonic decays B → π l ν and D → π l ν from lattice QCD journal, May 2001

't Hooft vertices, partial quenching, and rooted staggered QCD text, January 2007

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

Improved nonrelativistic QCD for heavy-quark physics journal, November 1992

Deflation acceleration of lattice QCD simulations journal, December 2007

Equation of state in ( 2 + 1 )-flavor QCD journal, November 2014

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

V u s and m s from Hadronic τ Decays journal, January 2005

A measurement of the space-like pion electromagnetic form factor journal, January 1986

High-Precision Lattice QCD Confronts Experiment journal, January 2004

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

Chiral perturbation theory for the Wilson lattice action journal, September 2002

Nucleon mass and sigma term from lattice QCD with two light fermion flavors journal, January 2013

Quark-antiquark potential in QCD journal, October 1977

Review of lattice results concerning low-energy particle physics journal, July 2011

Continuum limit and improved action in lattice theories journal, September 1983

B ¯ → D * ℓ ν ¯ form factor at zero recoil from three-flavor lattice QCD: A model independent determination of | V c b | journal, January 2009

Twisted boundary conditions in lattice simulations journal, March 2005

Isospin corrections for superallowed Fermi β decay in self-consistent relativistic random-phase approximation approaches journal, June 2009

Lattice QCD with a chirally twisted mass term journal, August 2001

Ghost-gluon running coupling, power corrections, and the determination of Λ MS ¯ journal, January 2009

Effects of finite volume on the K L − K S mass difference journal, June 2015

Electromagnetic corrections in hadronic processes journal, December 2003

Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions journal, December 2007

Low-energy expansion of meson form factors journal, January 1985

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

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory journal, December 2005

Improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi β decay journal, February 2008

Lattice QCD with two dynamical flavors of domain wall fermions journal, December 2005

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

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

Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230] journal, May 2007

Staggered versus overlap fermions: A study in the Schwinger model with N f = 0 , 1 , 2 journal, February 2004

Reply to: “Comment on: ‘Chiral anomalies and rooted staggered fermions’ [Phys. Lett. B 649 (2007) 230]” [Phys. Lett. B 649 (2007) 235] journal, May 2007

Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD journal, August 2006

A precise determination of in quenched QCD journal, August 2006

Lattice fermions journal, November 1977

Rationale for UV-filtered clover fermions journal, November 2006

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

Form factors for Λ b → Λ transitions in the soft-collinear effective theory journal, January 2012

Mb and fBs from a combination of HQET and QCD conference, December 2006

K L − K S Mass Difference from Lattice QCD journal, September 2014

Non-perturbative O(a) improvement of lattice QCD journal, April 1997

Neutral B meson mixings and B meson decay constants with static heavy and domain-wall light quarks journal, June 2015

Pion and kaon electromagnetic form factors journal, March 2002

Elastic and inelastic scattering of π + and π − on C 12 at 995 MeV/ c journal, August 2007

Current-Current correlators in Twisted Mass Lattice QCD conference, July 2012

Topological susceptibility on the lattice and the three-flavour quark condensate text, January 2012

Determination of α s from the QCD static energy journal, December 2012

Continuum limit and improved action in lattice theories journal, September 1983

Determination of LambdaMS from the gluon and ghost propagators in Landau gauge conference, December 2012

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

Twisted mass chiral perturbation theory at next-to-leading order journal, April 2005

Light quarks at low temperatures journal, January 1987

Lattice study of the vacuum polarization function and determination of the strong coupling constant journal, April 2009

A sum rule approach to the violation of Dashen's theorem text, January 1997

ππ scattering journal, June 2001

The static potential in QCD to two loops journal, February 1999

Relativistic Heavy Quarks on the Lattice journal, March 2003

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

Chiral fermions from lattice boundaries journal, September 1993

Review of Particle Physics journal, August 2014

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

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

The chiral condensate in a finite volume
journal, January 2009

Stability of lattice QCD simulations and the thermodynamic limit
journal, February 2006

A perturbative determination of mass dependent improvement coefficients in a relativistic heavy quark action
journal, October 2004

Superallowed $0^{+} \to 0^{+}$ nuclear $β$ decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
journal, May 2009

Semileptonic decays $\vec{B} π l ν$ and $\vec{D} π l ν$ from lattice QCD
journal, May 2001

't Hooft vertices, partial quenching, and rooted staggered QCD
text, January 2007

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

Improved nonrelativistic QCD for heavy-quark physics
journal, November 1992

Deflation acceleration of lattice QCD simulations
journal, December 2007

Equation of state in ( $2 + 1$ )-flavor QCD
journal, November 2014

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

$V_{u s}$ and $m_{s}$ from Hadronic $τ$ Decays
journal, January 2005

A measurement of the space-like pion electromagnetic form factor
journal, January 1986

High-Precision Lattice QCD Confronts Experiment
journal, January 2004

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

Chiral perturbation theory for the Wilson lattice action
journal, September 2002

Nucleon mass and sigma term from lattice QCD with two light fermion flavors
journal, January 2013

Quark-antiquark potential in QCD
journal, October 1977

Review of lattice results concerning low-energy particle physics
journal, July 2011

Continuum limit and improved action in lattice theories
journal, September 1983

$\bar{B} \to D^{*} ℓ \bar{ν}$ form factor at zero recoil from three-flavor lattice QCD: A model independent determination of $| V_{c b} |$
journal, January 2009

Twisted boundary conditions in lattice simulations
journal, March 2005

Isospin corrections for superallowed Fermi $β$ decay in self-consistent relativistic random-phase approximation approaches
journal, June 2009

Lattice QCD with a chirally twisted mass term
journal, August 2001

Ghost-gluon running coupling, power corrections, and the determination of $Λ_{\bar{MS}}$
journal, January 2009

Effects of finite volume on the $K_{L} - K_{S}$ mass difference
journal, June 2015

Electromagnetic corrections in hadronic processes
journal, December 2003

Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
journal, December 2007

Low-energy expansion of meson form factors
journal, January 1985

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

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory
journal, December 2005

Improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi β decay
journal, February 2008

Lattice QCD with two dynamical flavors of domain wall fermions
journal, December 2005

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

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

Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230]
journal, May 2007

Staggered versus overlap fermions: A study in the Schwinger model with $N_{f} = 0, 1, 2$
journal, February 2004

Reply to: “Comment on: ‘Chiral anomalies and rooted staggered fermions’ [Phys. Lett. B 649 (2007) 230]” [Phys. Lett. B 649 (2007) 235]
journal, May 2007

Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
journal, August 2006

A precise determination of in quenched QCD
journal, August 2006

Lattice fermions
journal, November 1977

Rationale for UV-filtered clover fermions
journal, November 2006

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

Form factors for $Λ_{b} \to Λ$ transitions in the soft-collinear effective theory
journal, January 2012

Mb and fBs from a combination of HQET and QCD
conference, December 2006

$K_{L} - K_{S}$ Mass Difference from Lattice QCD
journal, September 2014

Non-perturbative O(a) improvement of lattice QCD
journal, April 1997

Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
journal, June 2015

Pion and kaon electromagnetic form factors
journal, March 2002

Elastic and inelastic scattering of $π^{+}$ and $π^{-}$ on ${}^{12}C$ at 995 MeV/ $c$
journal, August 2007

Current-Current correlators in Twisted Mass Lattice QCD
conference, July 2012

Topological susceptibility on the lattice and the three-flavour quark condensate
text, January 2012

Determination of $α_{s}$ from the QCD static energy
journal, December 2012

Continuum limit and improved action in lattice theories
journal, September 1983

Determination of LambdaMS from the gluon and ghost propagators in Landau gauge
conference, December 2012

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

Twisted mass chiral perturbation theory at next-to-leading order
journal, April 2005

Light quarks at low temperatures
journal, January 1987

Lattice study of the vacuum polarization function and determination of the strong coupling constant
journal, April 2009

A sum rule approach to the violation of Dashen's theorem
text, January 1997

ππ scattering
journal, June 2001

The static potential in QCD to two loops
journal, February 1999

Relativistic Heavy Quarks on the Lattice
journal, March 2003

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

Chiral fermions from lattice boundaries
journal, September 1993

Review of Particle Physics
journal, August 2014

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

$D \to π$ , $l ν$ 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

The Chiral Condensate in a Finite Volume
text, January 2008

Form factors for B and B_s semileptonic decays with NRQCD/HISQ quarks
conference, December 2012