Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge-kinematics

Abstract

We investigate single-valued polylogarithms in two complex variables, which are relevant for the seven-point remainder function in N=4 super-Yang-Mills theory in the multi-Regge regime. After constructing these two-dimensional polylogarithms, we determine the leading logarithmic approximation of the seven-point remainder function up to and including five loops.

20 pages, 2 figures; v2: replaced with published version

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• Coaction and double-copy properties of configuration-space integrals at genus zero
• Modular graph forms from equivariant iterated Eisenstein integrals
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• Systematics of the Multi-Regge Three-Loop Symbol
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order