Evaluation of a ln tan integral arising in quantum field theory

Abstract

We analytically evaluate a dilogarithmic integral that is prototypical of volumes of ideal tetrahedra in hyperbolic geometry. We additionally obtain new representations of the Clausen function Cl_2 and the Catalan constant G=Cl_2(π/2), as well as new relations between sine and Clausen function values.

24 pages, no figures

References in corpus (1)

• On a three-dimensional symmetric Ising tetrahedron, and contributions to the theory of the dilogarithm and Clausen functions

Cited by in corpus (3)

• On a problem involving the squares of odd harmonic numbers
• Alternative evaluation of a ln tan integral arising in quantum field theory
• Proof of the Borwein-Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory