Numerical calculation of radiative corrections to the β energy spectrum of semileptonic decays of light- and charm-quark charged baryons

Abstract
In this paper we calculate, for the β energy spectrum of several semileptonic decays of interest, the numerical values of the radiative correction coefficients of an analytic expression previously obtained. The results can be readily used in a Monte Carlo simulation in an experimental analysis of those decays. We estimate the theoretical uncertainty involved in the analytic expression and show that it remains small even in high-q decays. Therefore, that expression is valid for charm-baryon semileptonic decays, to a high degree of precision.