FLAG review 2024

Aoki, Y.; Tantalo, N.; Sint, S.; Kaneko, T.; Hernandez, P.; Monahan, C.; Della Morte, M.; Wenger, U.; Wittig, H.; Van de Water, R.; Portelli, A.; Golterman, M.; Vaquero, A.; Sharpe, S. R.; Simone, J. N.; Jüttner, A.; Meinel, S.; Blum, T.; Onogi, T.; Collins, S.; Herdoíza, G.; Petreczky, P.; Lunghi, E.; Feng, X.; Sommer, R.; Gottlieb, Steven; Nicholson, A.; Flavour Lattice Averaging Collaboration; Dimopoulos, P.; Gupta, R.; Ramos, A.; Del Debbio, L.

Preprint

PUBDB-2026-00759

FLAG review 2024

Aoki, Y. ; Blum, T. ; Collins, S. ; Del Debbio, L. ; Della Morte, M. ; Dimopoulos, P. ; Feng, X. ; Golterman, M. ; Gottlieb, S. ; Gupta, R. ; Herdoíza, G. ; Hernandez, P. ; Jüttner, A. ; Kaneko, T. ; Lunghi, E. ; Meinel, S. ; Monahan, C. ; Nicholson, A. ; Onogi, T. ; Petreczky, P. ; Portelli, A. ; Ramos, A. ; Sharpe, S. R. ; Simone, J. N. ; Sint, S. ; Sommer, R. ; Tantalo, N. ; Van de Water, R. ; Vaquero, A. ; Wenger, U. ; Wittig, H. ; Flavour Lattice Averaging Collaboration (Collaboration author)

2026

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Report No.: CERN-TH-2024-192; FERMILAB-PUB-24-0785-T; arXiv:2411.04268

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→π transition at zero momentum transfer, as well as the decay-constant ratio fK/fπ and its consequences for the Cabibbo–Kobayashi–Maskawa (CKM) matrix elements Vus and Vud. 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. For the heavy-quark sector, we provide results for mc and mb 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 αs. 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 from one-link quark bilinears. We also review determinations 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.

Classification:

ddc:530

Note: 437 pages, 53 Figures, 189 tables. Minor changes, version as published in PRD, arXiv admin note: substantial text overlap with arXiv:2111.09849, arXiv:1902.08191, arXiv:1607.00299, arXiv:1310.8555

Contributing Institute(s):