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

Journal Article · · European Physical Journal. C, Particles and Fields
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  1. University of Washington
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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 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.
Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
Flavour Lattice Averaging Group (FLAG)
Grant/Contract Number:
SC0011637
OSTI ID:
1595487
Alternate ID(s):
OSTI ID: 22593258
Journal Information:
European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Journal Issue: 2 Vol. 77; 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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Partial flavor symmetry restoration for chiral staggered fermions journal November 1999
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Semileptonic decays B → π l ν and D → π l ν from lattice QCD journal May 2001
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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
Topological susceptibility with the improved Asqtad action journal December 2003
Staggered versus overlap fermions: A study in the Schwinger model with N f = 0 , 1 , 2 journal February 2004
Analytic smearing of SU ( 3 ) link variables in lattice QCD journal March 2004
Heavy meson chiral perturbation theory in finite volume journal July 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
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
Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator journal July 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
Extrapolations of lattice meson form factors journal August 2006
K 0 − K ¯ 0 mixing beyond the standard model and C P -violating electroweak penguins in quenched QCD with exact chiral symmetry journal October 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
Vector form factor in K l 3 semileptonic decay with two flavors of dynamical domain-wall quarks journal December 2006
Accelerating staggered-fermion dynamics with the rational hybrid Monte Carlo algorithm journal January 2007
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
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
Reply to “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
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
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
B → π l ν semileptonic form factor from three-flavor lattice QCD: A model-independent determination of | V ub | journal March 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
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
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
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Determination of LambdaMS from the gluon and ghost propagators in Landau gauge
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Review of Particle Physics text January 2012
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Charm and Bottom Quark Masses: an Update text January 2009
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$B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD text January 2010
Topological susceptibility on the lattice and the three-flavour quark condensate text January 2012
Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy text January 2012
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Semileptonic Kaon Decay in Staggered Chiral Perturbation Theory text January 2013
Finite volume effects for meson masses and decay constants text January 2005
Non-perturbative Power Corrections to Ghost and Gluon Propagators text January 2005
Lattice study of semileptonic form factors with twisted boundary conditions text January 2005
Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants text January 2006
Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator text January 2006
The pion form factor from lattice QCD with two dynamical flavours text January 2006
Hypercubic Smeared Links for Dynamical Fermions text January 2007
The Running Coupling from SU(3) Lattice Gauge Theory text January 1992
Massive Fermions in Lattice Gauge Theory text January 1996
Chiral symmetry and O(a) improvement in lattice QCD text January 1996
Partial Flavor Symmetry Restoration for Chiral Staggered Fermions text January 1999
High-precision determination of the light-quark masses from realistic lattice QCD text January 2005
A precise determination of $B_K$ in quenched QCD text January 2006
A sum rule approach to the violation of Dashen's theorem text January 1997
Review of lattice results concerning low-energy particle physics text January 2014
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