Precision radiative corrections to the Dalitz plot of baryon semileptonic decays including the spin-momentum correlation of the decaying baryon and the emitted charged lepton

We calculate the radiative corrections to the angular correlation ${\widehat{\mathbf{s}}}_1·\widehat{\mathbf{l}}$ to order $(\alpha /\pi )(q/M_1)$. The final results are presented with the triple integration of the bremsstrahlung photon to be performed numerically and in an analytical form. The results are useful in the analysis of precision experiments involving light and heavy quarks. It is assumed that the real photons are kinematically discriminated. Our results are model-independent.