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

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

2001-01-12

arxiv.org/abs/hep-ph/0101127v1

Nucl.Phys. B602 (2001) 87-108

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, uses axodraw.sty

Scientific paper

10.1016/S0550-3213(01)00121-3

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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