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

We give a precision analysis of the correlation coefficients of the electron energy spectrum and angular distribution of the β^- decay and radiative β^- 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 α /π ˜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.