TY  - EJOUR
AU  - Aoki, Y.
AU  - Blum, T.
AU  - Colangelo, G.
AU  - Collins, S.
AU  - Della Morte, M.
AU  - Dimopoulos, P.
AU  - Dürr, S.
AU  - Feng, X.
AU  - Fukaya, H.
AU  - Golterman, M.
AU  - Gottlieb, Steven
AU  - Gupta, R.
AU  - Hashimoto, S.
AU  - Heller, U. M.
AU  - Herdoiza, G.
AU  - Hernandez, P.
AU  - Horsley, R.
AU  - Jüttner, A.
AU  - Kaneko, T.
AU  - Lunghi, E.
AU  - Meinel, S.
AU  - Monahan, C.
AU  - Nicholson, A.
AU  - Onogi, T.
AU  - Pena, C.
AU  - Petreczky, P.
AU  - Portelli, A.
AU  - Ramos, A.
AU  - Sharpe, S. R.
AU  - Simone, J. N.
AU  - Simula, S.
AU  - Sint, S.
AU  - Sommer, R.
AU  - Tantalo, N.
AU  - Van de Water, R.
AU  - Wenger, U.
AU  - Wittig, H.
TI  - FLAG Review 2021
IS  - arXiv:2111.09849
M1  - PUBDB-2022-06833
M1  - arXiv:2111.09849
M1  - CERN-TH-2021-191
M1  - JLAB-THY-21-3528
M1  - FERMILAB-PUB-21-620-SCD-T
PY  - 2022
N1  - 418 pages, 53 figures, 200 tables, 1056 references. Minor changes, version as published in EPJC. arXiv admin note: substantial text overlap with arXiv:1902.08191, arXiv:1607.00299, arXiv:1310.8555
AB  - 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<sub>+</sub>(0) arising in the semileptonic K → π transition at zero momentum transfer, as well as the decay constant ratio f<sub>K</sub>/f<sub>π</sub>  and its consequences for the CKM matrix elements V<sub>us</sub> and V<sub>ud</sub>. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)<sub>L</sub>×SU(2)<sub>R</sub> and SU(3)<sub>L</sub>×SU(3)<sub>R</sub> Chiral Perturbation Theory. We review the determination of the B<sub>K</sub> 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<sub>c</sub> and m<sub>b</sub> as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. 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 α<sub>s</sub>. We consider nucleon matrix elements, and review the determinations of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. Finally, in this review we have added a new section reviewing determinations of scale-setting quantities.
KW  - strong interaction: coupling constant (INSPIRE)
KW  - decay constant: ratio (INSPIRE)
KW  - CKM matrix: unitarity (INSPIRE)
KW  - perturbation theory: chiral (INSPIRE)
KW  - lattice (INSPIRE)
KW  - nucleon (INSPIRE)
KW  - form factor (INSPIRE)
KW  - mixing (INSPIRE)
KW  - heavy quark (INSPIRE)
KW  - new physics (INSPIRE)
KW  - bottom meson (INSPIRE)
KW  - strong coupling (INSPIRE)
KW  - axial (INSPIRE)
KW  - nucleus (INSPIRE)
KW  - baryon (INSPIRE)
KW  - flavor (INSPIRE)
KW  - isovector (INSPIRE)
KW  - forward scattering (INSPIRE)
LB  - PUB:(DE-HGF)25
UR  - https://bib-pubdb1.desy.de/record/485767
ER  -