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

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