Isospin Violation in Chiral Perturbation Theory and the Decays $\eta \ra \pi \ell \nu$ and $\tau \ra \eta \pi \nu$

Abstract

I discuss isospin breaking effects within the standard model. Chiral perturbation theory presents the appropriate theoretical framework for such an investigation in the low--energy range. Recent results on the electromagnetic contributions to the masses of the pseudoscalar mesons and the $K_{\ell 3}$ amplitudes are reported. Using the one--loop formulae for the $\eta_{\ell 3}$ form factors, rather precise predictions for the decay rates of $\eta \rightarrow \pi \ell \nu$ can be obtained. Finally, I present an estimate of the $\tau \ra \eta \pi \nu$ branching ratio derived from the dominant meson resonance contributions to this decay.