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We compute the real-radiation corrections to Higgs boson pair production at  next-to-next-to-leading order in QCD, in an expansion for large top quarkmass. We  concentrate on the radiative corrections to the interference contribution  from the next-to-leading order one-particle reducible and the leading order  amplitudes. This is a well defined and gauge invariant subset of the full  real-virtual corrections to the inclusive cross section. We obtain analytic  results for all phase-space master integrals both as an expansion around the  threshold and in an exact manner in terms of Goncharov polylogarithms.

Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops