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

S. R. Juárez W., F. Guzmán A.

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3 Citations (Scopus)

Abstract

Very accurate analytical expressions for the radiative corrections of unpolarized hyperons semileptonic decays of charged and neutral baryons have been obtained in the recent past. Some of these formulas contain logarithmic singularities at the edges of the Dalitz plot for the three- and four-body decays. These singularities are analyzed and integrated analytically to obtain new divergentless formulas for the energy spectrum of the produced β particle. The new equations contain terms of the order α times the momentum transfer, are applicable to any beta decay process and are suitable for a model-independent experimental analysis. ©2000 The American Physical Society.
Original languageAmerican English
Pages (from-to)1-20
Number of pages2
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
StatePublished - 1 Aug 2000

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Momentum transfer
energy spectra
plots
decay
hyperons
momentum transfer
baryons

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title = "Precise nondivergent analytic formulas for the radiative corrections to the β energy spectrum in hyperon semileptonic decays over the entire Dalitz plot",
abstract = "Very accurate analytical expressions for the radiative corrections of unpolarized hyperons semileptonic decays of charged and neutral baryons have been obtained in the recent past. Some of these formulas contain logarithmic singularities at the edges of the Dalitz plot for the three- and four-body decays. These singularities are analyzed and integrated analytically to obtain new divergentless formulas for the energy spectrum of the produced β particle. The new equations contain terms of the order α times the momentum transfer, are applicable to any beta decay process and are suitable for a model-independent experimental analysis. {\circledC}2000 The American Physical Society.",
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N2 - Very accurate analytical expressions for the radiative corrections of unpolarized hyperons semileptonic decays of charged and neutral baryons have been obtained in the recent past. Some of these formulas contain logarithmic singularities at the edges of the Dalitz plot for the three- and four-body decays. These singularities are analyzed and integrated analytically to obtain new divergentless formulas for the energy spectrum of the produced β particle. The new equations contain terms of the order α times the momentum transfer, are applicable to any beta decay process and are suitable for a model-independent experimental analysis. ©2000 The American Physical Society.

AB - Very accurate analytical expressions for the radiative corrections of unpolarized hyperons semileptonic decays of charged and neutral baryons have been obtained in the recent past. Some of these formulas contain logarithmic singularities at the edges of the Dalitz plot for the three- and four-body decays. These singularities are analyzed and integrated analytically to obtain new divergentless formulas for the energy spectrum of the produced β particle. The new equations contain terms of the order α times the momentum transfer, are applicable to any beta decay process and are suitable for a model-independent experimental analysis. ©2000 The American Physical Society.

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