Portal de Periódicos da CAPES

FLAG Review 2021

2022; Springer Science+Business Media; Volume: 82; Issue: 10 Linguagem: Inglês

10.1140/epjc/s10052-022-10536-1

1434-6052

Yasumichi Aoki, Tom Blum, Gilberto Colangelo, Sara Collins, Michele Della Morte, P. Dimopoulos, Stephan Dürr, Xu Feng, Hidenori Fukaya, Maarten Golterman, Steven Gottlieb, Rajan Gupta, S. Hashimoto, Urs M. Heller, Gregorio Herdoíza, Pilar Hernández, R. Horsley, Andreas Jüttner, T. Kaneko, Enrico Lunghi, Stefan Meinel, Christopher Monahan, Amy Nicholson, T. Onogi, C. Peña, Péter Petreczky, Antonin Portelli, Alberto Ramos, Stephen R. Sharpe, James N. Simone, Silvano Simula, Stefan Sint, Rainer Sommer, Nazario Tantalo, R. G. Van de Water, Urs Wenger, Hartmut Wittig,

High-Energy Particle Collisions Research

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 $$f_+(0)$$ f + ( 0 ) arising in the semileptonic $$K \rightarrow \pi $$ K → π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$ f K / f π and its consequences for the CKM matrix elements $$V_{us}$$ V us and $$V_{ud}$$ V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ S U ( 2 ) L × S U ( 2 ) R and $$SU(3)_L\times SU(3)_R$$ S U ( 3 ) L × S U ( 3 ) R Chiral Perturbation Theory. We review the determination of the $$B_K$$ 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 $$m_c$$ m c and $$m_b$$ 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 $$\alpha _s$$ α 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.