Radiative corrections in K\(\rightarrow 3\pi \) decays
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Publication:985750
DOI10.1016/J.NUCLPHYSB.2008.07.027zbMATH Open1192.81340arXiv0807.0515OpenAlexW1634973396MaRDI QIDQ985750
Author name not available (Why is that?)
Publication date: 6 August 2010
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/0807.0515
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