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QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios

G. Amoros·J. Bijnens·P. Talavera
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Abstract

The procedure to calculate masses and matrix-elements in the presence of mixing of the basis states is explained in detail. We then apply this procedure to the two-loop calculation in Chiral Perturbation Theory of pseudoscalar masses and decay constants including quark mass isospin breaking. These results are used to update our analysis of $K_{\ell4}$ done previously and obtain a value of $m_u/m_d$ in addition to values for the low-energy-constants $L_i^r$.

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G. Amoros, J. Bijnens, P. Talavera. 2001-01-12. QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios. https://doi.org/10.1016/s0550-3213(01)00121-3

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