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@ARTICLE{Aoki:916808,
author = {Aoki, Y. and Blum, T. and Colangelo, G. and Collins, S. and
Morte, M. Della and Dimopoulos, P. and Dürr, S. and Feng,
X. and Fukaya, H. and Golterman, M. and Gottlieb, Steven and
Gupta, R. and Hashimoto, S. and Heller, U. M. and Herdoiza,
G. and Hernandez, P. and Horsley, R. and Jüttner, A. and
Kaneko, T. and Lunghi, E. and Meinel, S. and Monahan, C. and
Nicholson, A. and Onogi, T. and Pena, C. and Petreczky, P.
and Portelli, A. and Ramos, A. and Sharpe, S. R. and Simone,
J. N. and Simula, S. and Sint, S. and Sommer, R. and
Tantalo, N. and Van de Water, R. and Wenger, U. and Wittig,
H.},
title = {{FLAG} {R}eview 2021},
journal = {The European physical journal / C},
volume = {82},
number = {10},
issn = {1434-6044},
address = {Heidelberg},
publisher = {Springer},
reportid = {FZJ-2023-00111},
pages = {869},
year = {2022},
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},
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 $K \to \pi$ 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.},
cin = {JSC},
ddc = {530},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5111},
typ = {PUB:(DE-HGF)16},
eprint = {2111.09849},
howpublished = {arXiv:2111.09849},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2111.09849;\%\%$},
UT = {WOS:000864362300001},
doi = {10.1140/epjc/s10052-022-10536-1},
url = {https://juser.fz-juelich.de/record/916808},
}