The One-Loop One-Mass Hexagon Integral in D=6 Dimensions
Vittorio Del Duca, Claude Duhr, Vladimir A. Smirnov
TL;DR
This paper analytically evaluates a complex one-loop hexagon integral with one mass in six dimensions, expressing the result through polylogarithms of uniform transcendental weight three.
Contribution
It provides the first explicit analytical expression for the one-mass hexagon integral in six dimensions using polylogarithms.
Findings
Analytical expression in terms of polylogarithms
Uniform transcendental weight three result
Advances understanding of multi-loop integrals in higher dimensions
Abstract
We evaluate analytically the one-loop one-mass hexagon in six dimensions. The result is given in terms of standard polylogarithms of uniform transcendental weight three.
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