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The massless hexagon integral in D = 6 dimensions

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arxiv 1104.2781 v1 pith:N6QDP5RO submitted 2011-04-14 hep-th hep-ph

The massless hexagon integral in D = 6 dimensions

classification hep-th hep-ph
keywords dimensionshexagonintegralmasslessevaluateformfourfunction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Recursive construction of scalar one-loop integrals in dimensional regularisation

    hep-th 2026-07 conditional novelty 8.0

    A recursion based on hyperbolic simplex volumes expresses every epsilon-expansion coefficient of scalar one-loop Feynman integrals in terms of multiple polylogarithms.