# The Sun Also Rises: the High-Temperature Expansion of the Thermal Sunset

### Submission summary

 As Contributors: Andreas Ekstedt · Johan Löfgren Arxiv Link: https://arxiv.org/abs/2006.02179v2 (pdf) Date submitted: 2020-06-25 Submitted by: Löfgren, Johan Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approaches: Theoretical, Computational

### Abstract

We give a prescription for calculating the high-temperature expansion of the thermal sunset integral to arbitrary order. Results up to $\mathcal{O}(T^0)$ are given for both bosonic and fermionic thermal sunsets in dimensional regularisation, and for all odd powers of $T$ up to order $\epsilon^0$. The methods used generalize to non-zero external momentum. We verify the results with sundry analytical and numerical cross-checks. Intermediate steps involve integrals over three Bessel functions.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 2006.02179v2 on 25 June 2020