Tests of \textit{ab initio} nuclear theory via the isobaric multiplet mass equation in $T=1$ superallowed beta decay systems

Precision measurements of superallowed $0^+\to0^+$ nuclear beta decay currently provide the most precise value of the vector coupling in the weak interaction. The extraction of this quantity from these experiments assume that isospin symmetry is exact, thus requiring that theoretical isospin-symmetry-breaking (ISB) corrections must be applied.

Using \textit{ab initio} chiral effective field theory methods to calculate binding energies of the $T=1$ superallowed beta chain and the isobaric multiplet mass equation we hope to extract ISB corrections to $\mathcal{F}t$ values and compare to experimental data. This should give enough confidence in the \textit{ab initio} methods to perform precise Standard Model tests of the weak interaction.