4.7 Review

FLAG Review 2021

Journal

EUROPEAN PHYSICAL JOURNAL C
Volume 82, Issue 10, Pages -

Publisher

SPRINGER
DOI: 10.1140/epjc/s10052-022-10536-1

Keywords

-

Funding

  1. Albert Einstein Center for fundamental physics
  2. JSPS KAKENHI [16K05320, 18H03710, 21H01085]
  3. European Union [813942, H2020-MSCA-ITN-2018-813942, 757646]
  4. DFF Research project [8021-00122B]
  5. INFN under the research project INFN-QCDLAT
  6. NSFC of China [11775002, 12070131001, 12125501]
  7. National Key Research and Development Program of China [2020YFA0406400]
  8. U.S. Department of Energy [DE-SC0010120, DE-SC0011637]
  9. Spanish Agencia Estatal de Investigacion through the grant IFT Centro de Excelencia Severo Ochoa [SEV-2016-0597, CEX2020-001007-S]
  10. MEXT as Program for Promoting Researches on the Supercomputer Fugaku [JPMXP1020200105]
  11. STFC consolidated grant [ST/P000711/1, ST/T000775/1]
  12. U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0009913]
  13. USDOE [DE-AC05-06OR23177]
  14. UK STFC [ST/P000630/1]
  15. Generalitat Valenciana through the plan GenT program [CIDEGENT/2019/040]
  16. Ministerio de Ciencia e Innovacion [PID2020-113644GB-I00]
  17. European Research Council (ERC) [757646] Funding Source: European Research Council (ERC)

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In this review, lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics are discussed, including determination of light-quark masses, form factor in semileptonic K -> pi transition, decay constant ratio, low-energy constants in Chiral Perturbation Theory, B-K parameter, heavy-quark quantities, strong coupling constant, and nucleon matrix elements.
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 -> pi transition at zero momentum transfer, as well as the decay constant ratio Alf, 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) x SU(2)(R) and SU(3)(L) x 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.

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