The high-temperature expansion of the thermal sunset
Andreas Ekstedt, Johan Löfgren
SciPost Phys. Core 3, 008 (2020) · published 22 October 2020
- doi: 10.21468/SciPostPhysCore.3.2.008
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Abstract
We give a prescription for calculating the high-temperature expansion of the thermal sunset integral to arbitrary order. We derive all terms odd in $T$, and rederive previous results up to $\mathcal{O}(T^0) $ for both bosonic and fermionic thermal sunsets in dimensional regularisation. We perform analytical and numerical cross-checks. Intermediate steps involve integrals over three Bessel functions.
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Funders for the research work leading to this publication
- Grantová Agentura České Republiky (through Organization: Grantová agentura České republiky / Czech Science Foundation [GAČR])
- Univerzita Karlova v Praze (through Organization: Charles University)
- Vetenskapsrådet / Swedish Research Council