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DOE OSTI · 2890201

FLAG review 2024

Aoki, Y. [RIKEN Center for Computational Science] (ORCID:0000000340968836)·Blum, T. [University of Connecticut; Brookhaven National Laboratory]·Collins, S. [Universität Regensburg] (ORCID:0000000309797602)·Del Debbio, L. [University of Edinburgh]·Della Morte, M. [University of Southern Denmark] (ORCID:0000000300470689)·Dimopoulos, P. [Università di Parma; INFN]·Feng, X. [Peking University; Collaborative Innovation Center of Quantum Matter; Peking University; Peking University]·Golterman, M. [San Francisco State University]·Gottlieb, Steven [Indiana University] (ORCID:0000000157120466)·Gupta, R. [Los Alamos National Laboratory]·Herdoíza, G. [Universidad Autónoma de Madrid]·Hernandez, P. [Parc Científic de la Universitat de València]·Jüttner, A. [University of Southampton; University of Southampton; CERN] (ORCID:0000000239780927)·Kaneko, T. [High Energy Accelerator Research Organization (KEK); SOKENDAI (The Graduate University for Advanced Studies)]·Lunghi, E. [Indiana University]·Meinel, S. [University of Arizona] (ORCID:0000000310341004)·Monahan, C. [William & Mary; Colorado College] (ORCID:0000000151423490)·Nicholson, A. [University of North Carolina]·Onogi, T. [The University of Osaka]·Petreczky, P. [Brookhaven National Laboratory]·Portelli, A. [RIKEN Center for Computational Science; University of Edinburgh; CERN] (ORCID:000000026059917X)·Ramos, A. [Parc Científic de la Universitat de València]·Sharpe, S. R. [University of Washington]·Simone, J. N. [Fermi National Accelerator Laboratory; Trinity College Dublin]·Sint, S. [Trinity College Dublin]·Sommer, R. [Deutsches Elektronen-Synchrotron DESY; Humboldt-Universität zu Berlin]·Tantalo, N. [INFN, Sezione di Tor Vergata; Università di Roma Tor Vergata]·Van de Water, R. [Fermi National Accelerator Laboratory]·Vaquero, A. [Universidad de Zaragoza; Center for Astroparticles and High Energy Physics (CAPA)] (ORCID:0000000296265200)·Wenger, U. [Universität Bern] (ORCID:0000000277549590)·Wittig, H. [Helmholtz Institute Mainz; University of Mainz; Helmholtz Institute Mainz; GSI Helmholtz Center for Heavy Ion Research]
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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 → 𝜋 transition at zero momentum transfer, as well as the decay-constant ratio 𝑓 𝐾 ⁡/𝑓 𝜋 and its consequences for the Cabibbo–Kobayashi–Maskawa (CKM) matrix elements 𝑉 𝑢⁢𝑠 and 𝑉 𝑢⁢𝑑 . 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 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.

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Aoki, Y. [RIKEN Center for Computational Science] (ORCID:0000000340968836), Blum, T. [University of Connecticut; Brookhaven National Laboratory], Collins, S. [Universität Regensburg] (ORCID:0000000309797602), Del Debbio, L. [University of Edinburgh], Della Morte, M. [University of Southern Denmark] (ORCID:0000000300470689), Dimopoulos, P. [Università di Parma; INFN], Feng, X. [Peking University; Collaborative Innovation Center of Quantum Matter; Peking University; Peking University], Golterman, M. [San Francisco State University], Gottlieb, Steven [Indiana University] (ORCID:0000000157120466), Gupta, R. [Los Alamos National Laboratory], Herdoíza, G. [Universidad Autónoma de Madrid], Hernandez, P. [Parc Científic de la Universitat de València], Jüttner, A. [University of Southampton; University of Southampton; CERN] (ORCID:0000000239780927), Kaneko, T. [High Energy Accelerator Research Organization (KEK); SOKENDAI (The Graduate University for Advanced Studies)], Lunghi, E. [Indiana University], Meinel, S. [University of Arizona] (ORCID:0000000310341004), Monahan, C. [William & Mary; Colorado College] (ORCID:0000000151423490), Nicholson, A. [University of North Carolina], Onogi, T. [The University of Osaka], Petreczky, P. [Brookhaven National Laboratory], Portelli, A. [RIKEN Center for Computational Science; University of Edinburgh; CERN] (ORCID:000000026059917X), Ramos, A. [Parc Científic de la Universitat de València], Sharpe, S. R. [University of Washington], Simone, J. N. [Fermi National Accelerator Laboratory; Trinity College Dublin], Sint, S. [Trinity College Dublin], Sommer, R. [Deutsches Elektronen-Synchrotron DESY; Humboldt-Universität zu Berlin], Tantalo, N. [INFN, Sezione di Tor Vergata; Università di Roma Tor Vergata], Van de Water, R. [Fermi National Accelerator Laboratory], Vaquero, A. [Universidad de Zaragoza; Center for Astroparticles and High Energy Physics (CAPA)] (ORCID:0000000296265200), Wenger, U. [Universität Bern] (ORCID:0000000277549590), Wittig, H. [Helmholtz Institute Mainz; University of Mainz; Helmholtz Institute Mainz; GSI Helmholtz Center for Heavy Ion Research]. 2026-01-30. FLAG review 2024. https://doi.org/10.1103/nfzp-p5dn

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