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A direct $Q_{EC}$-value measurement of the superallowed $\beta^+$ emitter$^{22}$Mg was performed using TRIUMF's Ion Trap for Atomic and Nuclear science(TITAN). The direct ground-state to ground-state atomic mass difference between$^{22}$Mg and $^{22}$Na was determined to be $Q_{EC}=4781.40(22)$~keV,representing the most precise single measurement of this quantity to date. In acontinued push towards calculating superallowed isospin-symmetry-breaking (ISB)corrections from first principles, ab-initio shell-model calculations of the$A=22$ IMME are also presented for the first time using the valence-spacein-medium similarity renormalization group formalism. With particular startingtwo- and three-nucleon forces, this approach demonstrates a level of agreementwith the experimental data that suggests reliable ab-initio calculations ofsuperallowed ISB corrections are now possible.

High-precision $Q_{EC}$-value measurement of the superallowed $\beta^+$ emitter $^{22}$Mg and an evaluation of the $A=22$ isobaric triplet