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We present an analytic computation of the gluon-initiated contribution todiphoton plus jet production at hadron colliders up to two loops in QCD. Wereconstruct the analytic form of the finite remainders from numericalevaluations over finite fields including all colour contributions. Compactexpressions are found using the pentagon function basis. We provide a fast andstable implementation for the colour- and helicity-summed interference betweenthe one-loop and two-loop finite remainders in C++ as part of the NJet library.

Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders