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Abstract |
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 -> pi transition at zero momentum transfer, as well as the decay-constant ratio f(K)/f(pi) and its consequences for the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements V-us and V-ud. 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 alpha(s). We review the determinations of nucleon charges from the matrix elements of both isovector and flavor-diagonal axial, scalar and tensor local quark bilinears, and momentum fraction, helicity moment and the transversity moment fromone-link quark bilinears. We also reviewdeterminations of scale-setting quantities. Finally, in this review we have added a new section on the general definition of the low-energy limit of the Standard Model. |
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