Review of lattice results concerning low energy particle physics
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.
Keywords
Cite
@article{arxiv.1310.8555,
title = {Review of lattice results concerning low energy particle physics},
author = {Sinya Aoki and Yasumichi Aoki and Claude Bernard and Tom Blum and Gilberto Colangelo and Michele Della Morte and Stephan Dürr and Aida X. El-Khadra and Hidenori Fukaya and Roger Horsley and Andreas Jüttner and Takeshi Kaneko and Jack Laiho and Laurent Lellouch and Heinrich Leutwyler and Vittorio Lubicz and Enrico Lunghi and Silvia Necco and Tetsuya Onogi and Carlos Pena and Christopher T. Sachrajda and Stephen R. Sharpe and Silvano Simula and Rainer Sommer and Ruth S. Van de Water and Anastassios Vladikas and Urs Wenger and Hartmut Wittig},
journal= {arXiv preprint arXiv:1310.8555},
year = {2019}
}
Comments
Several errors of transcription in the entries of Table 1 have been corrected. The entries of Table 1 now agree with the final results quoted in the main text. 324 pages, 26 figures, 118 tables, 697 references