Radiative corrections to the Dalitz plot of K_{l3}^\pm decays

Details Radiative corrections to the Dalitz plot of K_{l3}^\pm decays Radiative corrections to the Dalitz plot of K_{l3}^\pm decays

2010-10-27

arxiv.org/abs/1010.5547v2

Phys.Rev.D83:054004,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex4, 38 pages, 5 figures, 5 tables; some typos corrected; discussion extended to compare with other results

Scientific paper

10.1103/PhysRevD.83.054004

We calculate the model-independent radiative corrections to the Dalitz plot of K_{l3}^\pm decays to order (\alpha/\pi)(q/M_1), where q is the momentum transfer and M_1 is the mass of the kaon. The final results are presented, first, with the triple integration over the variables of the bremsstrahlung photon ready to be performed numerically and, second, in an analytical form. These two forms are useful to crosscheck on one another and with other calculations. This paper is organized to make it accessible and reliable in the analysis of the Dalitz plot of precision experiments and is not compromised to fixing the form factors at predetermined values. It is assumed that the real photons are kinematically discriminated. Otherwise, our results have a general model-independent applicability.

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