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We obtain a model-independent expression for the complete Dalitz plot ofsemileptonic decays of polarized hyperons, which includes both the three-bodyand the four-body regions. We calculate radiative corrections to order alpha,neglecting terms of order alpha q/(pi M_1), where q is the four-momentumtransfer and M_1 is the mass of the decaying hyperon. Our results exhibitexplicitly the correlation between the emitted hyperon three-momentum and thespin of the decaying hyperon. This allows us to obtain the correspondingradiative corrections to the integrated emitted hyperon spin-asymmetrycoefficient. Our formulas are valid for charged as well as for neutral decayinghyperons and are appropriate for model-independent experimental analysiswhether the real photon is discriminated or not.Comment: 16 pages, REVTE

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Radiative corrections to the semileptonic Dalitz plot with an angular correlation between polarized decaying and emitted hyperons: Effects of the four-body region