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 Kπ transition at zero momentum transfer, as well as the decay constant ratio fK/fπ and its consequences for the CKM matrix elements Vus and Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)L×SU(2)R and SU(3)L×SU(3)R Chiral Perturbation Theory. We review the determination of the BK 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 mc and mb 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 αs. 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.

Details

Title
FLAG Review 2021
Author
Aoki, Y. 1 ; Blum, T. 2 ; Colangelo, G. 3 ; Collins, S. 4 ; Morte, M. Della 5 ; Dimopoulos, P. 6 ; Dürr, S. 7 ; Feng, X. 8 ; Fukaya, H. 9 ; Golterman, M. 10 ; Gottlieb, Steven 11 ; Gupta, R. 12 ; Hashimoto, S. 13 ; Heller, U. M. 14 ; Herdoiza, G. 15 ; Hernandez, P. 16 ; Horsley, R. 17 ; Jüttner, A. 18 ; Kaneko, T. 13 ; Lunghi, E. 11 ; Meinel, S. 19 ; Monahan, C. 20 ; Nicholson, A. 21 ; Onogi, T. 9 ; Pena, C. 15 ; Petreczky, P. 22 ; Portelli, A. 17 ; Ramos, A. 16 ; Sharpe, S. R. 23 ; Simone, J. N. 24 ; Simula, S. 25 ; Sint, S. 26 ; Sommer, R. 27 ; Tantalo, N. 28 ; Van de Water, R. 24 ; Wenger, U. 29 ; Wittig, H. 30 

 RIKEN Center for Computational Science, Kobe, Japan (GRID:grid.474693.b) 
 University of Connecticut, Physics Department, Storrs, USA (GRID:grid.63054.34) (ISNI:0000 0001 0860 4915); Brookhaven National Laboratory, RIKEN BNL Research Center, Upton, USA (GRID:grid.202665.5) (ISNI:0000 0001 2188 4229) 
 Universität Bern, Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Bern, Switzerland (GRID:grid.5734.5) (ISNI:0000 0001 0726 5157) 
 Universität Regensburg, Institut für Theoretische Physik, Regensburg, Germany (GRID:grid.7727.5) (ISNI:0000 0001 2190 5763) 
 University of Southern Denmark, CP3-Origins and IMADA, Odense M, Denmark (GRID:grid.10825.3e) (ISNI:0000 0001 0728 0170) 
 Università di Parma, Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Parma, Italy (GRID:grid.10383.39) (ISNI:0000 0004 1758 0937); INFN, Gruppo Collegato di Parma, Parma, Italy (GRID:grid.10383.39) 
 University of Wuppertal, Wuppertal, Germany (GRID:grid.7787.f) (ISNI:0000 0001 2364 5811); Forschungszentrum Jülich, Jülich Supercomputing Center, Jülich, Germany (GRID:grid.8385.6) (ISNI:0000 0001 2297 375X) 
 Peking University, School of Physics, Beijing, China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); Collaborative Innovation Center of Quantum Matter, Beijing, China (GRID:grid.495569.2); Peking University, Center for High Energy Physics, Beijing, China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); Peking University, State Key Laboratory of Nuclear Physics and Technology, Beijing, China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319) 
 Osaka University, Department of Physics, Toyonaka, Japan (GRID:grid.136593.b) (ISNI:0000 0004 0373 3971) 
10  San Francisco State University, Department of Physics and Astronomy, San Francisco, USA (GRID:grid.263091.f) (ISNI:0000000106792318) 
11  Indiana University, Department of Physics, Bloomington, USA (GRID:grid.411377.7) (ISNI:0000 0001 0790 959X) 
12  Theoretical Division T-2, Los Alamos National Laboratory, Los Alamos, USA (GRID:grid.148313.c) (ISNI:0000 0004 0428 3079) 
13  High Energy Accelerator Research Organization (KEK), Tsukuba, Japan (GRID:grid.410794.f) (ISNI:0000 0001 2155 959X); The Graduate University for Advanced Studies (Sokendai), School of High Energy Accelerator Science, Tsukuba, Japan (GRID:grid.275033.0) (ISNI:0000 0004 1763 208X) 
14  One Research Road, American Physical Society (APS), Ridge, USA (GRID:grid.294664.b) (ISNI:0000 0004 0438 1592) 
15  Universidad Autónoma de Madrid, Instituto de Física Teórica UAM/CSIC and Departamento de Física Teórica, Madrid, Spain (GRID:grid.5515.4) (ISNI:0000000119578126) 
16  Parc Científic de la Universitat de València, IFIC (CSIC-UVEG), Paterna, Spain (GRID:grid.459872.5) 
17  University of Edinburgh, Higgs Centre for Theoretical Physics, School of Physics and Astronomy, Edinburgh, UK (GRID:grid.4305.2) (ISNI:0000 0004 1936 7988) 
18  University of Southampton, School of Physics and Astronomy, Southampton, UK (GRID:grid.5491.9) (ISNI:0000 0004 1936 9297); University of Southampton, Highfield, STAG Research Center, Southampton, UK (GRID:grid.5491.9) (ISNI:0000 0004 1936 9297); CERN, Theoretical Physics Department, Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X) 
19  University of Arizona, Department of Physics, Tucson, USA (GRID:grid.134563.6) (ISNI:0000 0001 2168 186X) 
20  The College of William and Mary, Department of Physics, Williamsburg, USA (GRID:grid.264889.9) (ISNI:0000 0001 1940 3051); Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, USA (GRID:grid.450315.6) (ISNI:0000 0001 2236 1964) 
21  University of North Carolina, Department of Physics and Astronomy, Chapel Hill, USA (GRID:grid.410711.2) (ISNI:0000 0001 1034 1720) 
22  Brookhaven National Laboratory, Physics Department, Upton, USA (GRID:grid.202665.5) (ISNI:0000 0001 2188 4229) 
23  University of Washington, Physics Department, Seattle, USA (GRID:grid.34477.33) (ISNI:0000000122986657) 
24  Fermi National Accelerator Laboratory, Batavia, USA (GRID:grid.417851.e) (ISNI:0000 0001 0675 0679) 
25  INFN, Sezione di Roma Tre, Rome, Italy (GRID:grid.470220.3) 
26  Trinity College Dublin, School of Mathematics and Hamilton Mathematics Institute, Dublin 2, Ireland (GRID:grid.8217.c) (ISNI:0000 0004 1936 9705) 
27  John von Neumann Institute for Computing (NIC), DESY, Zeuthen, Germany (GRID:grid.7683.a) (ISNI:0000 0004 0492 0453); Humboldt-Universität zu Berlin, Institut für Physik, Berlin, Germany (GRID:grid.7468.d) (ISNI:0000 0001 2248 7639) 
28  Università di Roma Tor Vergata, INFN, Sezione di Tor Vergata, c/o Dipartimento di Fisica, Rome, Italy (GRID:grid.6530.0) (ISNI:0000 0001 2300 0941) 
29  Universität Bern, Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Bern, Switzerland (GRID:grid.5734.5) (ISNI:0000 0001 0726 5157); CERN, Theoretical Physics Department, Geneva, Switzerland (GRID:grid.9132.9) (ISNI:0000 0001 2156 142X) 
30  University of Mainz, PRISMA Cluster of Excellence, Institut für Kernphysik and Helmholtz Institute Mainz, Mainz, Germany (GRID:grid.5802.f) (ISNI:0000 0001 1941 7111) 
Publication year
2022
Publication date
Oct 2022
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2721074371
Copyright
© Crown 2022. corrected publication 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.