Isospin Breaking Effects in $K_{\ell 4}$ Decays

Abstract

In the framework of chiral perturbation theory with photons and leptons, the one-loop isospin breaking effects in $K_{\ell 4}$ decays due to both the photonic contribution and the quark and meson mass differences are computed. A comparison with the isospin breaking corrections applied by recent high statistics $K_{e4}$ experiments is performed. The calculation can be used to correct the existing form factor measurements by isospin breaking effects that have not yet been taken into account in the experimental analysis. Based on the present work, possible forthcoming experiments on $K_{e4}$ decays could correct the isospin breaking effects in a more consistent way.

62 pages, 18 figures

References in corpus (2)

• Isospin breaking in Kl4 decays
• Scalar QED, NLO and PHOTOS Monte Carlo

Cited by in corpus (6)

• A Dispersive Treatment of $K_{\ell 4}$ Decays
• A comprehensive study on the semileptonic decay of heavy flavor mesons
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Theoretical aspects of Chiral Dynamics
• Status of chiral perturbation theory for light mesons
• Dispersive Treatments of $K_{\ell 4}$ Decays and Hadronic Light-by-Light Scattering