A semi-numerical method for one-scale problems applied to the $\overline{\mathrm{MS}}$-on-shell relation

Abstract

We discuss a practical approach to compute master integrals entering physical quantities which depend on one parameter. As an example we consider four-loop QCD corrections to the relation between a heavy quark mass defined in the $\overline{\mathrm{MS}}$ and on-shell scheme in the presence of a second heavy quark.

7 pages, Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)