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1) The hard integral
The integral below (the "hard" integral topology) appears in the two-loop expansion of the lightlike polygonal Wilson loop at weak coupling (see for example Equation (B.1) of this paper). It would be very interesting to have its analytic expression for generic values of the kinematic invariants. Here it is:



where



and



The numerator is given by



The momenta



are lightlike, whereas in the most general configuration



Finally,