Abstract
We present the first and complete dispersion relation analysis of the inner radiative corrections to the axial coupling constant gA in the neutron β-decay. Using experimental inputs from the elastic form factors and the spin-dependent structure function g1, we determine the contribution from the γW-box diagram to a precision better than 10−4. Our calculation indicates that the inner radiative corrections to the Fermi and the Gamow-Teller matrix element in the neutron β-decay are almost identical, i.e. the ratio λ = gA/gV is almost unrenormalized. With this result, we predict the bare axial coupling constant to be \( {\overset{\circ }{g}}_A=-1.2754{(13)}_{\mathrm{exp}}{(2)}_{\mathrm{RC}} \) based on the PDG average λ = −1.2756(13).
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Gorchtein, M., Seng, CY. Dispersion relation analysis of the radiative corrections to gA in the neutron β-decay. J. High Energ. Phys. 2021, 53 (2021). https://doi.org/10.1007/JHEP10(2021)053
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DOI: https://doi.org/10.1007/JHEP10(2021)053