Radiative corrections in K --> 3 pi decays

Details Radiative corrections in K --> 3 pi decays Radiative corrections in K --> 3 pi decays

2008-07-03

arxiv.org/abs/0807.0515v1

Nucl.Phys.B806:178-223,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

57 pages, 17 figures

Scientific paper

10.1016/j.nuclphysb.2008.07.027

We investigate radiative corrections to K --> 3 pi decays. In particular, we extend the non-relativistic framework developed recently to include real and virtual photons and show that, in a well-defined power counting scheme, the results reproduce corrections obtained in the relativistic calculation. Real photons are included exactly, beyond the soft-photon approximation, and we compare the result with the latter. The singularities generated by pionium near threshold are investigated, and a region is identified where standard perturbation theory in the fine structure constant alpha may be applied. We expect that the formulae provided allow one to extract S-wave pi pi scattering lengths from the cusp effect in these decays with high precision.

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