Radiative corrections of order O(αEe/mN) to Sirlin's radiative corrections of order O(α/π), induced by the hadronic structure of the neutron

We investigate the contributions of the hadronic structure of the neutron to radiative O(alpha E-e/m(N)) corrections [or the inner O(alpha E-e/m(N)) RC] to the neutron beta decay, where alpha, E-e, and m(N) are the fine-structure constant, the electron energy, and the nucleon mass, respectively. We perform the calculation within the effective quantum field theory of strong low-energy pion-nucleon interactions described by the linear sigma model with chiral SU(2) x SU(2) symmetry and electroweak hadron-hadron, hadron-lepton, and lepton-lepton interactions for the electron-lepton family with SU(2)(L) x U(1)(Y) symmetry of the standard electroweak theory [Ivanov et al., Phys. Rev. D 99, 093006 (2019)]. We show that after renormalization, carried out in accordance with Sirlin's prescription [Sirlin, Phys. Rev. 164, 1767 (1967)], the inner O(alpha E-e/m(N)) RC are of the order of a few parts of 10(-5)-10(-4). This agrees well with the results obtained in [Ivanov et al., Phys. Rev. D 99, 093006 (2019)].

Automated summary

This study investigates the contributions of the hadronic structure of the neutron to radiative corrections in neutron beta decay, showing that after renormalization, the corrections are on the order of a few parts of 10(-5)-10(-4). The calculated results align well with previous research findings, indicating the reliability of the approach used.