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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Lee, R.N., Pikelner, A.F. Four-loop HQET propagators from the DRA method. J. High Energ. Phys. 2023, 97 (2023). https://doi.org/10.1007/JHEP02(2023)097
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DOI: https://doi.org/10.1007/JHEP02(2023)097