Lattice QCD calculation of strong isospin breaking effects

Details Lattice QCD calculation of strong isospin breaking effects Lattice QCD calculation of strong isospin breaking effects

2012-02-23

arxiv.org/abs/1202.5222v2

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures. Talk presented at the XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 201

Scientific paper

We present a new method to evaluate with high precision the isospin breaking effects due to the 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 $m_d - m_u$. In this talk we discuss how to apply this method to compute the leading isospin breaking effects for several physical quantities of interest: the kaon masses, the kaon decay constants and the neutron-proton mass splitting.

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