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Lattice QCD calculation of strong isospin breaking effects

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arxiv 1202.5222 v2 pith:RCLE6PNI submitted 2012-02-23 hep-lat

Lattice QCD calculation of strong isospin breaking effects

G.M. de Divitiis , P. Dimopoulos , R. Frezzotti , V. Lubicz , G. Martinelli , R. Petronzio , G.C. Rossi , F. Sanfilippo
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S. Simula N. Tantalo C. Tarantino
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classification hep-lat
keywords breakingeffectsisospinlatticekaonmassmethodapplicable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

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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