Application of the DRA method to the calculation of the four-loop QED-type tadpoles

TL;DR

This paper applies the DRA method to compute four-loop QED-type tadpole integrals, providing results as convergent sums and deriving epsilon-expansions around three and four dimensions.

Contribution

The paper introduces the application of the DRA method to four-loop QED tadpoles, yielding explicit epsilon-expansions for arbitrary dimensions.

Findings

Results expressed as multiple convergent sums

Epsilon-expansions around D=3 and D=4 obtained

Enhanced computational techniques for high-loop integrals

Abstract

We apply the DRA method to the calculation of the four-loop `QED-type' tadpoles. For arbitrary space-time dimensionality D the results have the form of multiple convergent sums. We use these results to obtain the epsilon-expansion of the integrals around D=3 and D=4.