Description: Review of lattice results concerning low-energy particle physics

This title appears in the Scientific Report : 2011

Review of lattice results concerning low-energy particle physics

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 mom...

Personal Name(s):	Colangelo, G.
	Dürr, S. / Jüttner, A. / Lellouch, L. / Leutwyler, H. / Lubicz, V. / Necco, S. / Sachrajda, C.T. / Simula, S. / Vladikas, A. / Wenger, U. / Wittig, H.
Contributing Institute:	Jülich Supercomputing Center; JSC
Published in:	The @European physical journal / C, 71 (2011) S. 1695
Imprint:	Berlin Springer 2011
Physical Description:	1695
DOI:	10.1140/epjc/s10052-011-1695-1
Document Type:	Journal Article
Research Program:	Computational Science and Mathematical Methods Scientific Computing
Series Title:	European Physical Journal C 71
Subject (ZB):	J
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1140/epjc/s10052-011-1695-1 in citations.

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)(L) x SU(2)(R) and SU(3)(L) x SU(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 Sect. 1.2, but we stress the importance of the detailed discussion that underlies these results and constitutes the bulk of the present review.