Review of lattice results concerning low energy particle physics

Preprint number: CP3-Origins-2013-40 DNRF90 and DIAS-2013-40
Authors: Sinya Aoki (Kyoto), Yasumichi Aoki (KMI & Brookhaven), Claude Bernard (Washington), Tom Blum (KMI, Connecticut), Gilberto Colangelo (Bern), Michele Della Morte (CP3-Origins & DIAS), Stephan Dürr (Wuppertal), Hidenori Fukaya (Osaka), Roger Horsley (Edinburgh), Andreas Jüttner (Southampton), Takeshi Kaneko (KEK), Aida X. El Khadra (Illinois), Jack Laiho (Glasgow), Laurent Lellouch (Aix-Marseille Université & Toulon), Heinrich Leutwyler (Bern), Vittorio Lubicz (Università Roma Tre & INFN), Enrico Lunghi (Indiana), Silvia Necco (Bern), Tetsuya Onogi (Osaka), Carlos Pena (Universidad Autónoma de Madrid), Christopher T. Sachrajda (Southampton), Stephen R. Sharpe (Washington), Junko Shigemitsu (Ohio), Silvano Simula (Università Roma Tre), Rainer Sommer (DESY), Anastassios Vladikas (INFN, Università di Roma Tor Vergata), Ruth S. Van de Water (Fermilab), Urs Wenger (Bern), and Hartmut Wittig (PRISMA, Mainz)
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We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle physics community. More specifically, we report on the determination of the light-quark masses, the form factor f+(0), arising in semileptonic K → π transition at zero momentum transfer, as well as the decay constant ratio fK/fπ of decay constants 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 x SU(2)R and SU(3)L x SU(3)R Chiral Perturbation Theory and review the determination of the BK parameter of neutral kaon mixing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, for this review, we focus on D– and B-meson decay constants, form factors, and mixing parameters, since these are most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit.