Precision Theoretical Analysis of Neutron Radiative Beta Decay to Order
  "O(\alpha^2/\pi^2)"
  In the Standard Model (SM) we calculate the decay rate of the neutron
radiative beta decay to order "O(\alpha^2/\pi^2 ~ 10^{-5})", where "\alpha$"is
the fine--structure constant, and radiative corrections to order "O(\alpha/\pi
~ 10^{-3})". The obtained results together with the recent analysis of the
neutron radiative beta decay to next-to-leading order in the large proton-mass
expansion, performed by Ivanov et al. Phys. Rev. D95, 033007 (2017), describe
recent experimental data by the RDK II Collaboration (Bales et al., Phys. Rev.
Lett. 116, 242501 (2016)) within 1.5 standard deviations. We argue a
substantial influence of strong low-energy interactions of hadrons coupled to
photons on the properties of the amplitude of the neutron radiative beta decay
under gauge transformations of real and virtual photons.
