Splitting Strong and Electromagnetic Interactions in K(L4) Decays

Details Splitting Strong and Electromagnetic Interactions in K(L4) Decays Splitting Strong and Electromagnetic Interactions in K(L4) Decays

2004-01-31

arxiv.org/abs/hep-ph/0402007v1

Phys.Rev. D69 (2004) 094012

Physics

High Energy Physics

High Energy Physics - Phenomenology

47 pages, LaTeX, 6 postscript figures

Scientific paper

10.1103/PhysRevD.69.094012

We recently considered $K_{\ell 4}$ decays in the framework of chiral perturbation theory based on the effective Lagrangian including mesons, photons, and leptons. There, we published analytic one-loop-level expressions for form factors $f$ and $g$ corresponding to the mixed process, $K^0\to\pi^0\pi^-\ell^+\nu_{\ell}$. We propose here a possible splitting between strong and electromagnetic parts allowing analytic (and numerical) evaluation of Isospin breaking corrections. The latter are sensitive to the infrared divergence subtraction scheme and are sizeable near the $\pi\pi$ production threshold. Our results should be used for the extraction of the $P$-wave iso-vector $\pi\pi$ phase shift from the outgoing data of the currently running KTeV experiment at FNAL.

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