Radiative corrections to the semileptonic Dalitz plot with angular correlation between polarized decaying and emitted hyperons

We obtain an expression for the Dalitz plot of semileptonic decays of polarized hyperons including radiative corrections to order α and neglecting terms of the order αq/πM1, where q is the four-momentum transfer and M1 is the mass of the decaying hyperon. Our results are specialized to exhibit the angular correlation between such polarization and the momentum of the emitted hyperon. The model dependence of radiative corrections is kept in a general form within this approximation which is suitable for model-independent experimental analysis. Our final result, valid for charged as well as for neutral hyperons, allows us to obtain the angular spin-asymmetry coefficient of the emitted hyperon. copyright 1997 The American Physical Society