Polarisation-Asymmetry Correlation in Allowed $β$-Decay: a Probe for Right-Handed Currents

The sensitivity of polarisation-asymmetry correlation experiments to charged currents of right-handed chirality contributing to allowed $\beta$-decay is considered in the most general context possible, independently of any type of approximation nor of any specific model for physics beyond the Standard Model of the electroweak interactions. Results are then particularised to general Left-Right Symmetric Models, and experimental prospects offered by mirror nuclei are assessed explicitly on general grounds. In order of decreasing interest, the cases of $^{17}$F, $^{41}$Sc and $^{25}$Al are the most attractive, providing sensitivities better or comparable to allowed pure Gamow-Teller transitions, with the advantage however, that recoil order corrections are smaller in the case of super-allowed decays.