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In this seminar, I will present the first benchmark evaluation of two-loop leading colour finite remainders for top-quark pair production with a jet in the gluon channel at hadron colliders.
In particular, I will describe an approach to compute the master integrals that allows for the analytic cancellation of infrared and ultraviolet divergences despite the presence of elliptic Feynman integrals.
This makes it explicit that elliptic contributions appear only in the finite remainder and can be evaluated via generalized series expansions.
I will also briefly discuss ongoing efforts on the analytic reconstruction of the special function basis coefficients which will help with more realistic phenomenological applications.