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

TL;DR

This paper calculates radiative corrections to the Dalitz plot in baryon semileptonic decays, focusing on angular correlations and providing formulas for experimental analysis.

Contribution

It provides the first comprehensive calculation of radiative corrections for the three-body region with angular correlations in baryon semileptonic decays, applicable to both charged and neutral baryons.

Findings

Derived analytical expressions for radiative corrections

Applicable to both charged and neutral baryon decays

Formulas suitable for model-independent experimental analysis

Abstract

We have calculated the radiative corrections to the Dalitz plot of baryon semileptonic decays with angular correlation between polarized emitted baryons and charged leptons. This work covers both charged and neutral decaying baryons and is restricted to the so-called three-body region of the Dalitz plot. Also it is specialized at the center-of-mass frame of the emitted baryon. We have considered terms up to order (alpha/pi)(q/M_1)^0, where q is the momentum-transfer and M_1 is the mass of the decaying baryon, and neglected terms of order (alpha/pi)(q/M_1)^n$ for n >= 1. The expressions displayed are ready to obtain numerical results, suitable for model-independent experimental analyses.