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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.
G. W. Anderson and L. J. Hall, “Electroweak phase transition and baryogenesis,” Phys. Rev. D
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C. L. Wainwright, Phase Transitions in the Early Universe · 2013
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2013
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2015
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Cited in the paper.
E. W. Weisstein, “Bessel Function of the Second Kind,”. http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html
Cited in the paper.
H. Verrill and E. W. Weisstein, “Hurwitz’s Formula,”. http://mathworld.wolfram.com/HurwitzsFormula.html
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IOP Concise Physics. Morgan & Claypool, 2016
G. A. White, A Pedagogical Introduction to Electroweak Baryogenesis · 2016
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