%0 Electronic Article
%A Aoki, Y.
%A Blum, T.
%A Colangelo, G.
%A Collins, S.
%A Della Morte, M.
%A Dimopoulos, P.
%A Dürr, S.
%A Feng, X.
%A Fukaya, H.
%A Golterman, M.
%A Gottlieb, Steven
%A Gupta, R.
%A Hashimoto, S.
%A Heller, U. M.
%A Herdoiza, G.
%A Hernandez, P.
%A Horsley, R.
%A Jüttner, A.
%A Kaneko, T.
%A Lunghi, E.
%A Meinel, S.
%A Monahan, C.
%A Nicholson, A.
%A Onogi, T.
%A Pena, C.
%A Petreczky, P.
%A Portelli, A.
%A Ramos, A.
%A Sharpe, S. R.
%A Simone, J. N.
%A Simula, S.
%A Sint, S.
%A Sommer, R.
%A Tantalo, N.
%A Van de Water, R.
%A Wenger, U.
%A Wittig, H.
%T FLAG Review 2021
%N arXiv:2111.09849
%M PUBDB-2022-06833
%M arXiv:2111.09849
%M CERN-TH-2021-191
%M JLAB-THY-21-3528
%M FERMILAB-PUB-21-620-SCD-T
%D 2022
%Z 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
%X 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.
%K strong interaction: coupling constant (INSPIRE)
%K decay constant: ratio (INSPIRE)
%K CKM matrix: unitarity (INSPIRE)
%K perturbation theory: chiral (INSPIRE)
%K lattice (INSPIRE)
%K nucleon (INSPIRE)
%K form factor (INSPIRE)
%K mixing (INSPIRE)
%K heavy quark (INSPIRE)
%K new physics (INSPIRE)
%K bottom meson (INSPIRE)
%K strong coupling (INSPIRE)
%K axial (INSPIRE)
%K nucleus (INSPIRE)
%K baryon (INSPIRE)
%K flavor (INSPIRE)
%K isovector (INSPIRE)
%K forward scattering (INSPIRE)
%F PUB:(DE-HGF)25
%9 Preprint
%U https://bib-pubdb1.desy.de/record/485767