Radiative corrections to radiative πe 2 decay

Details Radiative corrections to radiative πe 2 decay Radiative corrections to radiative πe 2 decay

2003-10-23

arxiv.org/abs/hep-ph/0310275v3

Phys.Rev. D69 (2004) 114004

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 3 figures, 3 tables; a table with K-factor values was added

Scientific paper

10.1103/PhysRevD.69.114004

The lowest order radiative corrections (RC) to width and spectra of radiative $\pi e2$ decay are calculated. We take into account virtual photon emission contribution as well as soft and hard real photon emission one. The result turns out to be consistent with the standard Drell-Yan picture for the width and spectra in the leading logarithmical approximation which permits us to generalize it to all orders of perturbation theory. Explicit expressions of nonleading contributions are obtained. The contribution of short distance is found to be in agreement with Standard Model predictions. It is presented as a general normalization factor. We check the validity of the Kinoshita-Lee-Nauenberg theorem about cancellation in the total width of the mass singularities at zero limit of electron mass. We discuss the results of the previous papers devoted to this problem. The Dalitz plot distribution is illustrated numerically.

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