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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→π transition at zero momentum transfer as well as the ratio fK/fπ of decay constants and discuss the consequences for the elements Vus and Vud of the CKM matrix. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)L×SU(2)R and SU(3)L×SU(3)R Chiral Perturbation Theory and review the determination of the BK 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 Sect. 1.2, but we stress the importance of the detailed discussion that underlies these results and constitutes the bulk of the present review.
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1 Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Bern, Switzerland
2 Bergische Universität Wuppertal, Wuppertal, Germany; Jülich Supercomputing Centre, Forschungszentrum Jülich, Jülich, Germany
3 Physics Department, TH Unit, CERN, Geneva 23, Switzerland
4 Centre de Physique Théorique, Marseille, France
5 Dipartimento di Fisica, Università Roma Tre, and INFN, Rome, Italy
6 School of Physics and Astronomy, University of Southampton, Southampton, UK
7 INFN, Sezione di Roma Tre, Rome, Italy
8 INFN, Sezione di Tor Vergata, c/o Dipartimento di Fisica, Università di Roma Tor Vergata, Rome, Italy
9 Institut für Kernphysik and Helmholtz Institute Mainz, University of Mainz, Mainz, Germany