Cross-Sections for $\text{t}\bar{\text{t}}\text{H}$ production with the Top Quark $\overline{\text{MS}}$ Mass

TL;DR

This study explores how using the $ ext{MS}$ scheme for the top quark mass affects the predicted cross-sections for $ ext{t}ar{ ext{t}} ext{H}$ production, showing reduced scale uncertainties and minor shape differences in distributions.

Contribution

It introduces the use of the $ ext{MS}$ scheme for the top quark mass in $ ext{t}ar{ ext{t}} ext{H}$ production calculations, providing an alternative to the pole mass scheme with improved theoretical stability.

Findings

Moderate decrease in scale uncertainties with $ ext{MS}$ scheme.

Minimal impact on the shape of differential distributions.

Largest differences observed in invariant mass distributions.

Abstract

We study the impact of the top quark mass renormalized in the $\overline{\text{MS}}$ scheme on the $\text{t}\bar{\text{t}}\text{H}$ 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 $\overline{\text{MS}}$ 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 $\text{t}\bar{\text{t}}$ and the $\text{t}\bar{\text{t}}\text{H}$ systems.