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

Abstract

We calculate the model-independent radiative corrections to the Dalitz plot of K_{l3}^\pm decays to order (α/π)(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.

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

References in corpus (3)

• Dispersive representation and shape of the Kl3 form factors: robustness
• Precision radiative corrections to the semileptonic Dalitz plot with angular correlation between polarized decaying and emitted baryons: Effects of the four-body region
• Radiative corrections to the three-body region of the Dalitz plot of baryon semileptonic decays with angular correlation between polarized emitted baryons and charged leptons: The initial-baryon rest frame case

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