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In recent years a number of correlation measurements in nuclear $\beta$ decayhave been performed reaching a precision of the order of 1\% and below and itis expected that even higher precision will be reached in the near future. Atthese levels of precision higher-order corrections due to e.g. recoil termsinduced by the strong interaction and radiative corrections cannot necessarilybe neglected anymore when interpreting these results in terms of new physics orextracting a value for the $V_{ud}$ quark-mixing matrix element. We providehere an update of the $\mathcal{F} t$ values of the $T=1/2$ mirror $\beta$decays as well as an overview of current experimental and theoretical knowledgeof the most important recoil term, weak magnetism, for both the $T=1/2$ mirror$\beta$ transitions and a large set of $\beta$ decays in higher isospinmultiplets. The matrix elements determining weak magnetism were calculated inthe nuclear shell model and cross-checked against experimental data, showingoverall good agreement. Additionally, we show that further insight can beobtained from properly deformed nuclear potentials, in particular for mirror$T=1/2$ decays.. The results provide new insights in the size of weakmagnetism, extending the available information to $\beta$ transitions of nucleiwith masses up to $A =$ 75. This provides important guidance for the planningand interpretation of ongoing and new precise correlation measurements innuclear $\beta$ decay searching for new physics or to extract the $V_{ud}$quark-mixing matrix element in mirror $\beta$ decays. This more detailedknowledge of weak magnetism can also be of interest for further theoreticalwork related to the reactor neutrino problem.

$\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay