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

Matteo Fael, Fabian Lange, Kay Schönwald, Matthias Steinhauser

SciPost Phys. Proc. 7, 041 (2022) · published 22 June 2022

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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 $\overline{\rm MS}$ and on-shell scheme in the presence of a second heavy quark.

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