Theoretical description of the neutron beta decay in the standard model at the level of 10^{-5}

Abstract

In the framework of the Standard Model (SM) a theoretical description of the neutron beta decay is given at the level of 10^{-5}. The neutron lifetime and correlation coefficients of the neutron beta decay for a polarized neutron, a polarized electron and an unpolarized proton are calculated at the account for i) the radiative corrections of order O(αE_e/m_N) ~ 10^{-5} to Sirlin's outer and inner radiative corrections of order O(α/π), ii) the corrections of order O(E^2_e/m^2_N) ~ 10^{-5}, caused by weak magnetism and proton recoil, and iii) Wilkinson's corrections of order 10^{-5} (Wilkinson, Nucl. Phys. A377, 474 (1982)). These corrections define the SM background of the theoretical description of the neutron beta decay at the level of 10^{-5}, which is required by experimental searches of interactions beyond the SM with experimental uncertainties of a few parts of 10^{-5}.

arXiv comment35 pages, 1 figure, The manuscript is revised in accordance with the version accepted for publication in Physical Review D

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• Neutron beta decay and exact conservation of charged weak hadronic vector current in the Standard Model