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Very accurate analytical expressions for the radiative corrections ofunpolarized hyperons semileptonic decays of charged and neutral baryons havebeen obtained in the recent past. Some of these formulas contain logarithmicsingularities at the edges of the Dalitz plot for the three- and four-bodydecays. These singularities are analyzed and integrated analytically to obtainnew divergentless formulas for the energy spectrum of the produced betaparticle. The new equations contain terms of the order alpha times the momentumtransfer, are applicable to any beta decay process and are suitable for amodel-independent experimental analysis.Comment: 22 pages, 4 figure

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

Precise nondivergent analytic formulas for the radiative corrections to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>energy spectrum in hyperon semileptonic decays over the entire Dalitz plot

Precise nondivergent analytic formulas for the radiative corrections to theβenergy spectrum in hyperon semileptonic decays over the entire Dalitz plot