  The computation of the single-differential top quark-antiquark pair
($\mathrm{t}\overline{\mathrm{t}}$) production cross section at NLO in the
fixed-order expansion is examined consistently using the MSR and
$\overline{\textrm{MS}}$ short-distance top quark mass schemes. A thorough
investigation of the dependence of different regions of the
$\mathrm{t}\overline{\mathrm{t}}$ invariant mass spectrum on the
renormalization scales $R$ and $\mu_m$ of the MSR mass
$m_\mathrm{t}^{\textrm{MSR}}(R)$ and $\overline{\textrm{MS}}$ mass
$\overline{m}_\mathrm{t}(\mu_m)$, respectively, is carried out. We demonstrate
that a scale choice of $R\sim 80$~GeV is important for the stability of the
cross-section predictions for the low $\mathrm{t}\overline{\mathrm{t}}$
invariant mass range, which is important for a reliable extraction of the top
quark mass. Furthermore, a choice of semi-dynamical renormalization and
factorization scales is preferred. These findings are expected to remain valid
once non-relativistic quasi-bound state effects are included in the low
invariant mass region.
