Radiative corrections to the Dalitz plot of K_{l3}^0 decays

TL;DR

This paper provides a model-independent, detailed calculation of radiative corrections to the Dalitz plot for K_{l3}^0 decays, facilitating more accurate experimental analyses without relying on specific form factor assumptions.

Contribution

It introduces a model-independent expression for radiative corrections in K_{l3}^0 decays, including bremsstrahlung effects, suitable for precise experimental applications.

Findings

Derived analytical and numerical forms of bremsstrahlung corrections

Maintained model independence in the correction expressions

Restricted analysis to the three-body Dalitz plot region

Abstract

A model-independent expression for the Dalitz plot of semileptonic decays of neutral kaons, K_{l3}^0, including radiative corrections to order (\alpha/\pi)(q/M_1), where q is the momentum transfer and M_1 is the mass of the kaon, is presented. The model dependence of radiative corrections is kept in a general form within this approximation, which is suitable for model-independent experimental analyses. Expressions for bremsstrahlung radiative corrections are presented in two forms: one with the triple integral over the kinematical variables of the photon ready to be performed numerically and the other one in a fully analytical form. The final result is restricted to the so-called three-body region of the Dalitz plot and it is not compromised to fixing the values of the form factors at predetermined values.