Four-loop HQET propagators from the DRA method
High Energy Physics - Phenomenology
2023-03-01 v1 High Energy Physics - Theory
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 and using constructed alternative sets of integrals with expansion coefficients having conjectural uniform transcendental weight.
Cite
@article{arxiv.2211.03668,
title = {Four-loop HQET propagators from the DRA method},
author = {Roman N. Lee and Andrey F. Pikelner},
journal= {arXiv preprint arXiv:2211.03668},
year = {2023}
}