Isospin Breaking in $K_{\ell 4}$ Decays of the Charged Kaon

Details Isospin Breaking in $K_{\ell 4}$ Decays of the Charged Kaon Isospin Breaking in $K_{\ell 4}$ Decays of the Charged Kaon

2003-11-21

arxiv.org/abs/hep-ph/0311274v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, LaTeX, 8 postscript figures, 1 table

Scientific paper

The charged $K_{\ell 4}$ decay, $K^+\to\pi^+\pi^-\ell^+\nu_{\ell}$ is studied in the framework of chiral perturbation theory based on the effective Lagrangian including mesons, photons, and leptons. We give analytic expressions for the two vectorial form factors, $f$ and $g$, calculated at one-loop level in the presence of Isospin breaking effects. These expressions may then be used to disentangle the Isospin breaking part from the measured form factors and hence improve the accuracy in the determination of $\pi\pi$ scattering parameters from $K_{\ell 4}$ experiments.

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