Cross-sections for $t\overline{t}H$ production with the top quark $\overline{MS}$ mass

We study the impact of the top quark mass renormalized in the $\overline{MS}$ scheme on the $t\overline{t}H$ production cross-sections as an alternative to theory predictions with the conventionally used pole mass scheme. The differential cross-sections at next-to-leading order in perturbative QCD with stable top quarks show a moderate decrease in scale uncertainties for the $\overline{MS}$ mass renormalization scheme compared to the on-shell one. The shape of the differential distributions is not affected much, the largest differences being observed in the invariant mass distributions of the $t\overline{t}$ and the $t\overline{t}H$ systems.