  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 ($a_{\beta \nu}$). The recoil-order correction is calculated with
the well-known Holstein formalism using the impulse approximation to evaluate
experimentally inaccessible form factors. For the $\beta-\nu$ angular
correlation previously unpublished, semi-analytical radiative correction values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, analysing, and
comparing future experimental efforts.
