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arXiv · 1310.8555

Review of lattice results concerning low energy particle physics

Sinya Aoki·Yasumichi Aoki·Claude Bernard·Tom Blum·Gilberto Colangelo·Michele Della Morte·Stephan Dürr·Aida X. El-Khadra·Hidenori Fukaya·Roger Horsley·Andreas Jüttner·Takeshi Kaneko·Jack Laiho·Laurent Lellouch·Heinrich Leutwyler·Vittorio Lubicz·Enrico Lunghi·Silvia Necco·Tetsuya Onogi·Carlos Pena·Christopher T. Sachrajda·Stephen R. Sharpe·Silvano Simula·Rainer Sommer·Ruth S. Van de Water·Anastassios Vladikas·Urs Wenger·Hartmut Wittig
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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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Sinya Aoki, Yasumichi Aoki, Claude Bernard, Tom Blum, Gilberto Colangelo, Michele Della Morte, Stephan Dürr, Aida X. El-Khadra, Hidenori Fukaya, Roger Horsley, Andreas Jüttner, Takeshi Kaneko, Jack Laiho, Laurent Lellouch, Heinrich Leutwyler, Vittorio Lubicz, Enrico Lunghi, Silvia Necco, Tetsuya Onogi, Carlos Pena, Christopher T. Sachrajda, Stephen R. Sharpe, Silvano Simula, Rainer Sommer, Ruth S. Van de Water, Anastassios Vladikas, Urs Wenger, Hartmut Wittig. 2013-10-31. Review of lattice results concerning low energy particle physics. https://arxiv.org/abs/1310.8555

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