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arXiv · 2006.02179

The High-Temperature Expansion of the Thermal Sunset

Andreas Ekstedt·Johan Löfgren
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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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Andreas Ekstedt, Johan Löfgren. 2020-09-11. The High-Temperature Expansion of the Thermal Sunset. https://doi.org/10.21468/scipostphyscore.3.2.008

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