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

Brödel, Johannes; Sprenger, Martin; Torres Orjuela, Alejandro

We investigate single-valued polylogarithms in two complex variables, which are relevant for the seven-point remainder function in 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.
Published in: Nuclear physics : journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions. B, Particle physics, 10.1016/j.nuclphysb.2016.12.016, Elsevier