Precision Theoretical Analysis of Neutron Radiative Beta Decay to Order "O(α^2/π^2)"

Abstract

In the Standard Model (SM) we calculate the decay rate of the neutron radiative beta decay to order "O(α^2/π^2 ~ 10^{-5})", where "α$"is the fine--structure constant, and radiative corrections to order "O(α/π~ 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.

arXiv comment46 pages, 6 figures

References in corpus (10)

• Neutron Beta-Decay as Laboratory for Test of Standard Model
• Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
• Precision Measurement of the Radiative $\mathrm{B}$ Decay of the Free Neutron
• Radiative neutron beta-decay in effective field theory
• A T-odd Momentum Correlation in Radiative β-Decay
• Radiative Beta Decay for Studies of CP Violation
• Deficit of reactor antineutrinos at distances smaller than 100 m and inverse beta-decay
• Proton Recoil Energy and Angular Distribution of Neutron Radiative Beta Decay
• Precision Theoretical Analysis of Neutron Radiative Beta Decay
• Renormalization Group Flow Equations for the Sigma Model

Cited by in corpus (9)

• Neutron Dark Matter Decays and Correlation Coefficients of Neutron Beta Decays
• Tests of the Standard Model in Neutron Beta Decay with Polarized Neutron and Electron and Unpolarized Proton
• Test of the Standard Model in Neutron Beta Decay with Polarized Electron and Unpolarized Neutron and Proton
• Radiative corrections of order O(alpha E_e/m_N) to Sirlin's radiative corrections of order O(alpha/pi) to neutron lifetime
• Radiative corrections of order $O(\alpha E_e/m_N)$ to Sirlin's radiative corrections of order $O(\alpha /\pi )$, induced by the hadronic structure of the neutron
• On the correlation coefficient T(E_e) of the neutron beta decay, caused by the correlation structure invariant under discrete P, C and T symmetries
• Gauge Properties of Hadronic Structure of Nucleon in Neutron Radiative Beta Decay to Order O(alpha/pi) in Standard V - A Effective Theory with QED and Linear Sigma Model of Strong Low--Energy Interactions
• On the structure of the correlation coefficients S(E_e) and U(E_e) of the neutron beta decay
• Gauge and Infrared Properties of Hadronic Structure of Nucleon in Neutron Beta Decay to Order O(α/π) in Standard V - A Effective Theory with QED and Linear Sigma Model of Strong Low--Energy Interactions