Four-loop HQET propagators from the DRA method

Autor: Lee, Roman N., Pikelner, Andrey F.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP02(2023)097
Popis: 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.
Databáze: arXiv