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

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arxiv 2110.03699 v1 pith:V43DECKD submitted 2021-10-07 hep-ph

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

classification hep-ph
keywords heavyon-shelloverlinequarkrelationappliedapproachcompute
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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