Precision radiative corrections to the semileptonic Dalitz plot with angular correlation between polarized decaying baryon and emitted charged lepton: Effects of the four-body region

Analytical radiative corrections of order $(\alpha /\pi )(q/M_1)$ are calculated for the four-body region of the Dalitz plot of baryon semileptonic decays when the ${\widehat{\mathbf{s}}}_1·\widehat{\mathit{l}}$ correlation is present. Once the final result is available, it is possible to exhibit it in terms of the corresponding final result of the three-body region following a set of simple changes in the latter, except for a few exceptions. We cover two cases, a charged and a neutral polarized decaying baryon.