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In this paper various theoretical approaches are used to define thedependence of the estimated $\mathcal{O}(\alpha^5_s)$ and$\mathcal{O}(\alpha^6_s)$-corrections to the QCD relation between pole and$\rm{\overline{MS}}$ running masses of heavy quarks on the number of lightflavours. It is found that recently studied asymptotic formula for thecoefficients of this relation, based on the infared-renormalon method, does notreproduce sign-alternating structure in the flavour-dependence of the five andsix-loop corrections, which holds in three other used by us approaches.

jetp letters

Dependence of five and six-loop estimated QCD corrections to the  relation between pole and running masses of heavy quarks on the number of  light flavours