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

TL;DR

This paper computes model-independent radiative corrections to the Dalitz plot of K_{l3}^ u decays, providing both numerical and analytical results to aid precision experimental analysis.

Contribution

It presents the first comprehensive calculation of radiative corrections to the Dalitz plot of K_{l3} decays at order (/)(q/M_1), including both numerical and analytical forms.

Findings

Results enable precise Dalitz plot analysis in experiments.

Corrections are model-independent and applicable with real photon discrimination.

Provides tools for crosschecking and improving decay measurements.

Abstract

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.