  Single-differential cross section predictions for top quark pair production
are presented at next-to-leading order, using running top quark mass
renormalization schemes. The evolution of the mass of the top quark is
performed in the MSR scheme $m_{\mathrm{t}}^{\textrm{MSR}}(\mu)$ for
renormalization scales $\mu$ below the $\overline{\textrm{MS}}$ top quark mass
$\overline{m}_{\mathrm{t}}(\overline{m}_{\mathrm{t}})$, and in the
$\overline{\textrm{MS}}$ scheme $\overline{m}_{\mathrm{t}}(\mu)$ for scales
above. In particular, the implementation of a mass renormalization scale
independent of the strong coupling renormalization scale and factorization
scale in quantum chromodynamics allows investigating independent dynamical
scale variations. Furthermore, the first theoretically consistent extraction of
the top quark MSR mass from experimental data is presented.
