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Measurements of the beta decay correlation coefficients in nuclear decay aimfor a precision below $1\%$ and theoretical predictions should follow thistrend. In this work, the influence of the two dominant Standard Modelcorrection terms, i.e. the recoil-order and the radiative correction, arestudied for the most commonly measured beta correlations, i.e. the$\beta$-asymmetry parameter ($A_{\beta}$) and the $\beta-\nu$ angularcorrelation ($a_{\beta \nu}$). The recoil-order correction is calculated withthe well-known Holstein formalism using the impulse approximation to evaluateexperimentally inaccessible form factors. For the $\beta-\nu$ angularcorrelation previously unpublished, semi-analytical radiative correction valuesare tabulated. Results are presented for the mirror beta decays up to $A=45$.We examine the effect of both corrections and provide a comparison betweendifferent isotopes. This comparison will help planning, analysing, andcomparing future experimental efforts.

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