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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

Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser This is my paper · ORCID
classification hep-ph
keywords heavyon-shelloverlinequarkrelationappliedapproachcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $\overline{\rm MS}$ and on-shell scheme in the presence of a second heavy quark.

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Cited by 2 Pith papers

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  1. Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.

  2. {\tt ggxy}: a flexible library to compute gluon-induced cross sections

    hep-ph 2025-06 accept novelty 4.0 of 10

    A new software library, ggxy, computes NLO QCD cross sections for gg to HH and reproduces previous exact results with much shorter runtimes.

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