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  • FLAG Review 2021
    Aoki, Y.; Blum, T.; Colangelo, G.; Collins, S.; Morte, M. Della; Dimopoulos, P.; Dürr, S.; Feng, X.; Fukaya, H.; Golterman, M.; Gottlieb, Steven; Gupta, R.; Hashimoto, S.; Heller, U. M.; Herdoiza, G.; Hernandez, P.; Horsley, R.; Jüttner, A.; Kaneko, T.; Lunghi, E.; Meinel, S.; Monahan, C.; Nicholson, A.; Onogi, T.; Pena, C.; Petreczky, P.; Portelli, A.; Ramos, A.; Sharpe, S. R.; Simone, J. N.; Simula, S.; Sint, S.; Sommer, R.; Tantalo, N.; Van de Water, R.; Wenger, U.; Wittig, H.

    The European physical journal. C, Particles and fields, 10/2022, Letnik: 82, Številka: 10
    Journal Article

    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 + ( 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 S U ( 2 ) L × S U ( 2 ) R and S U ( 3 ) L × S U ( 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. For the heavy-quark sector, we provide results for m c and m b 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 s . 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.