The massless hexagon integral in D = 6 dimensions

TL;DR

This paper computes the massless one-loop hexagon integral in six dimensions, expressing it with polylogarithms and revealing similarities to four-dimensional Wilson loop functions.

Contribution

It provides the first explicit evaluation of the six-dimensional massless hexagon integral in terms of polylogarithms, highlighting structural parallels with four-dimensional cases.

Findings

Explicit expression in terms of polylogarithms of weight three

Functional form resembles the two-loop hexagon Wilson loop in 4D

Advances understanding of higher-dimensional Feynman integrals

Abstract

We evaluate the massless one-loop hexagon integral in six dimensions. The result is given in terms of standard polylogarithms of uniform transcendental weight three, its functional form resembling the one of the remainder function of the two-loop hexagon Wilson loop in four dimensions.