Four-loop HQET propagators from the DRA method

Abstract

We use dimensional recurrence relations and analyticity to calculate four-loop propagator-type master integrals in the heavy-quark effective theory. Compared to previous applications of the DRA method, we apply a new technique of fixing homogeneous solutions from pole parts of integrals evaluated in different rational space-time dimension points. The latter were calculated from the integration-by-parts reduction of finite integrals in shifted space-time dimension and/or with increased propagators powers. We provide results for epsilon expansions of master integrals near $d=4$ and $d=3$ using constructed alternative sets of integrals with expansion coefficients having conjectural uniform transcendental weight.

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Cited by in corpus (2)

• Feynman Integrals from Positivity Constraints
• QCD cusp anomalous dimension: current status