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

TL;DR

This paper provides a detailed theoretical analysis of neutron beta decay within the Standard Model, including radiative and recoil corrections, achieving a precision level of 10^{-5} to support experimental searches for new physics.

Contribution

It offers a comprehensive calculation of neutron beta decay parameters at the 10^{-5} precision level, incorporating multiple correction effects within the Standard Model.

Findings

Calculated neutron lifetime and correlation coefficients with 10^{-5} accuracy.

Quantified radiative, recoil, and Wilkinson's corrections at the 10^{-5} level.

Established the Standard Model background for high-precision experimental tests.

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(\alpha E_e/m_N) ~ 10^{-5} to Sirlin's outer and inner radiative corrections of order O(\alpha/\pi), 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}.