Influence of the recoil-order and radiative correction on the beta decay correlation coefficients in mirror decays

Measurements of the beta decay correlation coefficients in nuclear decay aim for a precision below 1% and theoretical predictions should follow this trend. In this work, the influence of the two dominant standard model correction terms, i.e., the recoil-order and the radiative correction, are studied for the most commonly measured beta correlations, i.e., the beta-asymmetry parameter (A(beta)) and the beta-nu angular correlation (alpha(beta nu)). The recoil-order correction is calculated with the well-known Holstein formalism using the impulse approximation to evaluate experimentally undetermined form factors. For the beta-nu angular correlation previously unpublished, semianalytical radiative correction values are tabulated. Results are presented for the mirror beta decays up to A = 45. We examine the effect of both corrections and provide a comparison between different isotopes. This comparison will help planning, analyzing, and comparing future experimental efforts.