FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)

S. Aoki, Y. Aoki, D. Bečirević, T. Blum, G. Colangelo, S. Collins, M. Della Morte, P. Dimopoulos, S. Dürr, H. Fukaya, M. Golterman, Steven Gottlieb, R. Gupta, S. Hashimoto, U. M. Heller, G. Herdoiza, R. Horsley, A. Jüttner*, T. Kaneko, Chi-Jen LinE. Lunghi, R. Mawhinney, A. Nicholson, T. Onogi, C. Pena, A. Portelli, A. Ramos, S. R. Sharpe, J. N. Simone, S. Simula, R. Sommer, R. Van de Water, A. Vladikas, U. Wenger, H. Wittig

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

449 Scopus citations


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→ π 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 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.

Original languageEnglish
Article number113
JournalEuropean Physical Journal C
Issue number2
StatePublished - 11 Feb 2020


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