TY  - JOUR
AU  - Aoki, S.
AU  - Aoki, Y.
AU  - Bečirević, D.
AU  - Blum, T.
AU  - Colangelo, G.
AU  - Collins, S.
AU  - Della Morte, M.
AU  - Dimopoulos, P.
AU  - Dürr, S.
AU  - Fukaya, H.
AU  - Golterman, M.
AU  - Gottlieb, Steven
AU  - Gupta, R.
AU  - Hashimoto, S.
AU  - Heller, U. M.
AU  - Herdoiza, G.
AU  - Horsley, R.
AU  - Jüttner, A.
AU  - Kaneko, T.
AU  - Lin, C.-J. D.
AU  - Lunghi, E.
AU  - Mawhinney, R.
AU  - Nicholson, A.
AU  - Onogi, T.
AU  - Pena, C.
AU  - Portelli, A.
AU  - Ramos, A.
AU  - Sharpe, S. R.
AU  - Simone, J. N.
AU  - Simula, S.
AU  - Sommer, R.
AU  - Van de Water, R.
AU  - Vladikas, A.
AU  - Wenger, U.
AU  - Wittig, H.
TI  - FLAG Review 2019
JO  - The European physical journal / C
VL  - 80
IS  - 2
SN  - 1434-6052
CY  - Heidelberg
PB  - Springer
M1  - FZJ-2020-04557
SP  - 113
PY  - 2020
AB  - 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 mc and mb as well as those for D- and B-meson decay constants, form factors, and mixing parameters. 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. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000523413200001
DO  - DOI:10.1140/epjc/s10052-019-7354-7
UR  - https://juser.fz-juelich.de/record/887971
ER  -