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@ARTICLE{Aoki:485762,
      author       = {Aoki, Y. and Blum, T. and Colangelo, G. and Collins, S. and
                      Della Morte, M. 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.},
      collaboration = {{FLAG Collaboration}},
      title        = {{FLAG} {R}eview 2021},
      journal      = {The European physical journal / C},
      volume       = {82},
      number       = {10},
      issn         = {1434-6044},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2022-06828, arXiv:2111.09849. CERN-TH-2021-191.
                      JLAB-THY-21-3528. FERMILAB-PUB-21-620-SCD-T},
      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 \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.},
      keywords     = {strong interaction: coupling constant (INSPIRE) / decay
                      constant: ratio (INSPIRE) / CKM matrix: unitarity (INSPIRE)
                      / perturbation theory: chiral (INSPIRE) / lattice (INSPIRE)
                      / nucleon (INSPIRE) / form factor (INSPIRE) / mixing
                      (INSPIRE) / heavy quark (INSPIRE) / new physics (INSPIRE) /
                      bottom meson (INSPIRE) / strong coupling (INSPIRE) / axial
                      (INSPIRE) / nucleus (INSPIRE) / baryon (INSPIRE) / flavor
                      (INSPIRE) / isovector (INSPIRE) / forward scattering
                      (INSPIRE)},
      cin          = {ZEU-NIC / $Z_ZPPT$},
      ddc          = {530},
      cid          = {I:(DE-H253)ZEU-NIC-20120731 / $I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      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://bib-pubdb1.desy.de/record/485762},
}