Isospin breaking effects due to the up-down mass difference in Lattice QCD

Abstract

We present a new method to evaluate with high precision isospin breaking effects due to the small mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can be computed on the lattice. It is based on the expansion of the path-integral in powers of the small parameter md-mu. In this paper, we apply this method to compute the leading isospin breaking effects for several physical quantities of interest: the kaon meson masses, the kaon decay constant, the form factors of semileptonic Kl3 decays and the neutron-proton mass splitting.

30 pages, 17 plots, version accepted for publication in JHEP, added few references and some comment, results unchanged

References in corpus (4)

• Review of lattice results concerning low energy particle physics
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• A note on isospin violation in Pl2(gamma) decays
• The Kl3 scalar form factors in the standard model

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