FLAG Review 2021

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

Preprint

PUBDB-2022-06833

FLAG Review 2021

Aoki, Y. ; Blum, T. ; Colangelo, G. ; Collins, S. ; Della Morte, M. ; Dimopoulos, P. ; Dürr, S. ; Feng, X. ; Fukaya, H. ; Golterman, M. ; Gottlieb, S. ; 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.DESY* ; Tantalo, N. ; Van de Water, R. ; Wenger, U. ; Wittig, H. ; FLAG Collaboration (Collaboration author)

2022

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Report No.: CERN-TH-2021-191; FERMILAB-PUB-21-620-SCD-T; JLAB-THY-21-3528; arXiv:2111.09849

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 \rightarrow \pi $ transition at zero momentum transfer, as well as the decay constant ratio $f_K/f_\pi $ 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 $SU(2)_L\times SU(2)_R$ and $SU(3)_L\times SU(3)_R$ 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 $\alpha _s$. 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.

Keyword(s): strong interaction: coupling constant ; decay constant: ratio ; CKM matrix: unitarity ; perturbation theory: chiral ; lattice ; nucleon ; form factor ; mixing ; heavy quark ; new physics ; bottom meson ; strong coupling ; axial ; nucleus ; baryon ; flavor ; isovector ; forward scattering

Classification:

ddc:530

Note: 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

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