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We study the impact of the top quark mass renormalized in the MS ‾ scheme on the t 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 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 t ¯ and the t t ¯ H systems. [ABSTRACT FROM AUTHOR]