Precision analysis of electron energy spectrum and angular distribution of neutron beta decay with polarized neutron and electron

Abstract

We give a precision analysis of the correlation coefficients of the electron-energy spectrum and angular distribution of the beta decay and radiative beta decay of the neutron with polarized neutron and electron to order 10^(-3). The calculation of correlation coefficients is carried out within the Standard model with contributions of order 10^(-3), caused by the weak magnetism and proton recoil, taken to next-to-leading order in the large proton mass expansion, and with radiative corrections of order "alpha/pi ~ 10^(-3", calculated to leading order in the large proton mass expansion. The obtained results can be used for the planning of experiments on the search for contributions of order 10^(-4) of interactions beyond the Standard model.

12 pages, 2 figures, The functions in Eq.(A.9) are corrected

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• Tests of the standard electroweak model in beta decay
• Electroweak Radiative Corrections to Muon Capture
• Measurement of the Transverse Polarization of Electrons Emitted in Free Neutron Decay
• Supersymmetric Contributions to Weak Decay Correlation Coefficients
• Precision Measurement of the Radiative $\mathrm{B}$ Decay of the Free Neutron
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