Journal Article

PreJuSER-18054

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Review of lattice results concerning low-energy particle physics

Colangelo, G. ; Dürr, S.FZJ* ; Jüttner, A. ; Lellouch, L. ; Leutwyler, H. ; Lubicz, V. ; Necco, S. ; Sachrajda, C. T. ; Simula, S. ; Vladikas, A. ; Wenger, U. ; Wittig, H.

2011
Springer Berlin

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Please use a persistent id in citations: doi:10.1140/epjc/s10052-011-1695-1

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)(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.

Keyword(s): J

Note: We wish to thank Sinya Aoki, Silas Beane, Claude Bernard, Joachim Brod, Petros Dimopoulos, Xining Du, Jurg Gasser, Peter Hasenfratz, Shoji Hashimoto, Gregorio Herdoiza, Matthias Jamin, Karl Jansen, Kim Maltman, Ferenc Niedermayer, Uli Nierste, Carlos Pena, Matts Roos, Gerrit Schierholz, Stephen Sharpe and Andre Walker-Loud for correspondence and useful comments. The Albert Einstein Center for Fundamental Physics at the University of Bern is supported by the "Innovations- und Kooperationsprojekt C-13" of the "Schweizerische Universitatskonferenz SUK/CRUS". This work was partially supported by CNRS grants GDR n<SUP>0</SUP> 2921 (Physique subatomique et calculs sur reseau) and PICS n<SUP>0</SUP> 4707, by UK STFC grant ST/G000557/1, by the Helmholtz Association through the virtual institute "Spin and strong QCD" (VH-VI-231), by the Swiss National Science Foundation and by EU contract MRTN-CT-2006-035482 (Flavianet).

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Contributing Institute(s):

1. Jülich Supercomputing Centre (JSC)

Research Program(s):

1. Scientific Computing (FUEK411) (FUEK411)
2. 411 - Computational Science and Mathematical Methods (POF2-411) (POF2-411)

Appears in the scientific report 2011

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