English

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

High Energy Physics - Lattice 2015-06-03 v2 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1110.6294,
  title  = {Isospin breaking effects due to the up-down mass difference in Lattice QCD},
  author = {G. M. de Divitiis and P. Dimopoulos and R. Frezzotti and V. Lubicz and G. Martinelli and R. Petronzio and G. C. Rossi and F. Sanfilippo and S. Simula and N. Tantalo and C. Tarantino},
  journal= {arXiv preprint arXiv:1110.6294},
  year   = {2015}
}

Comments

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