Review of lattice results concerning low energy particle physics

Sinya Aoki 1 Yasumichi Aoki 2, 3 Claude Bernard 4 Tom Blum 5 Gilberto Colangelo 6 Michele Della Morte 7 Stephan Dürr 8, 9 Aida X. El Khadra 10 Hidenori Fukaya 11 Roger Horsley 12 Andreas Jüttner 13 Takeshi Kaneko 14 Jack Laiho 15 Laurent Lellouch 16, 17 Heinrich Leutwyler 6 Vittorio Lubicz 18 Enrico Lunghi 19 Silvia Necco 6 Tetsuya Onogi 11 Carlos Pena 20 Christopher T. Sachrajda 13 Stephen R. Sharpe 21 Silvano Simula 22 Rainer Sommer 23 Ruth S. Van de Water 24 Anastassios Vladikas 22 Urs Wenger 6 Hartmut Wittig 25, 26
Abstract : 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 -> pi transition at zero momentum transfer, as well as the decay constant ratio fK/fpi 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)LxSU(2)R and SU(3)LxSU(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. In addition we review the status of lattice determinations of the strong coupling constant alpha_s.
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Submitted on : Tuesday, January 19, 2016 - 5:01:39 PM
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Sinya Aoki, Yasumichi Aoki, Claude Bernard, Tom Blum, Gilberto Colangelo, et al.. Review of lattice results concerning low energy particle physics. European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2014, 74 (9), pp.2890. ⟨10.1140/epjc/s10052-014-2890-7⟩. ⟨hal-01258973⟩

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