Isospin breaking effects due to the up-down mass difference in lattice QCD
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- RM123 collaboration, de Divitiis, G.M., Dimopoulos, P. et al. J. High Energ. Phys. (2012) 2012: 124. doi:10.1007/JHEP04(2012)124
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We present a new method to evaluate with high precision leading 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.