Test of the Standard Model in Neutron Beta Decay with Polarized Electron and Unpolarized Neutron and Proton

Abstract

We calculate the correlation coefficients of the electron-energy and electron-antineutrino angular distribution of the neutron beta decay with polarized electron and unpolarised neutron and proton. The calculation is carried out within the Standard Model (SM) with the contributions, caused by the weak magnetism, proton recoil and radiative corrections of order of 10^{-3}, Wilkinson's corrections of order 10^{-5}$(Wilkinson, Nucl. Phys. A377, 474 (1982) and Ivanov et al., Phys. Rev. C95, 055502 (2017)) and the contributions of interactions beyond the SM. The obtained results can be used for the analysis of experimental data on searches of interactions beyond the SM at the level of 10^{-4} (Abele, Hyperfine Interact. 237, 155 (2016)). The contributions of G-odd correlations are calculated and found at the level of 10^{-5} in agreement with the results obtained by Gardner and Plaster (Phys. Rev. C87, 065504 (2013)) and Ivanov et al. (Phys. Rev. C98, 035503 (2018)).

arXiv comment20 pages, 4 figures.The functions in Eq.(A.8) are corrected. arXiv admin note: text overlap with arXiv:1805.03880

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Cited by in corpus (9)

• $\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay
• Radiative corrections of order O(alpha E_e/m_N) to Sirlin's radiative corrections of order O(alpha/pi) to neutron lifetime
• Precision analysis of pseudoscalar interactions in neutron beta decays
• 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
• Theoretical description of the neutron beta decay in the standard model at the level of 10^{-5}
• 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 structure of the correlation coefficients S(E_e) and U(E_e) of the neutron beta decay
• Most general neutron decay correlations: Standard Model recoil and radiative corrections
• Neutron beta decay and exact conservation of charged weak hadronic vector current in the Standard Model