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

## TL;DR

This paper provides a high-precision analysis of neutron beta decay, calculating correlation coefficients with order 10^(-3) accuracy within the Standard Model, aiding future experiments searching for new physics beyond it.

## Contribution

It offers a detailed Standard Model calculation of neutron decay correlation coefficients including weak magnetism, recoil, and radiative corrections at next-to-leading order.

## Key findings

- Correlation coefficients calculated with 10^(-3) precision.
- Results enable planning of experiments probing beyond Standard Model interactions.
- Provides theoretical framework for interpreting neutron decay measurements.

## 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.