A fast C++ implementation of thermal functions

Abstract

We provide a small C++ library with Mathematica and Python interfaces for computing thermal functions, defined $$J_{\text{B/F}}(y^2)\equiv \Re {\int }_0^{\infty }{x}^2\log \left[1\mp e^{-\sqrt{x^2+y^2}}\right]\text{d}x,$$ which appear in finite-temperature quantum field theory and play a role in phase-transitions in the early Universe, including baryogenesis, electroweak symmetry breaking and the Higgs mechanism.

Comments: 16 pages, 7 figures. To appear in Comput.Phys.Commun. The code is available from https://github.com/andrewfowlie/thermal_funcs