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2013

Leading isospin breaking effects on the lattice

de Divitiis, G. M., Frezzotti, R., Lubicz, V. et al.

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We present a method to evaluate on the lattice the leading isospin breaking effects due to both the small mass difference between the up and down quarks and the QED interaction.

Our proposal is applicable in principle to any QCD+QED gauge invariant hadronic observable which can be computed on the lattice.
It is based on the expansion of the path-integral in powers of the small parameters (m_d - m_u)/Lambda_{QCD} and alpha_{em}, where m_f is the renormalized quark mass and alpha_{em} the renormalized fine structure constant.
In this paper we discuss in detail the general strategy of the method and the conventional, although arbitrary, separation of QCD from QED isospin breaking corrections.

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