Review of lattice results concerning low energy particle physics
Abstract
We review lattice results relevant for pion and kaon physics with the aim of making them easily accessible to the particle physics community. Specifically, we review the determination of the light-quark masses, the form factor f_+(0), relevant for the semileptonic K -> pi transition at zero momentum transfer as well as the ratio f_K/f_pi of decay constants and discuss the consequences for the elements V_{us} and V_{ud} of the CKM matrix. 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 B_K parameter of neutral kaon mixing. We introduce quality criteria and use these when forming averages. Although subjective and imperfect, these criteria may help the reader to judge different aspects of current lattice computations. Our main results are summarized in section 1.2, but we stress the importance of the detailed discussion that underlies these results and constitutes the bulk of the present review.
Keywords
Cite
@article{arxiv.1011.4408,
title = {Review of lattice results concerning low energy particle physics},
author = {Gilberto Colangelo and Stephan Durr and Andreas Juttner and Laurent Lellouch and Heinrich Leutwyler and Vittorio Lubicz and Silvia Necco and Christopher T. Sachrajda and Silvano Simula and Anastassios Vladikas and Urs Wenger and Hartmut Wittig},
journal= {arXiv preprint arXiv:1011.4408},
year = {2015}
}
Comments
126 pages, 11 figures. Plain Latex. Review provided by the FLAG (Flavianet Lattice Averaging Group) working group. Updated to February 28, 2011. To appear in EPJ