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In this paper, we present the computation of the Higgs boson pair productioncross section, both inclusive as well as differential on the invariant massdistribution, at next-to-next-to-leading order (NNLO) in QCD including effectsof new physics beyond the standard model. We parametrize the effects of newphysics with the relevant dimension 6 operators in a standard model effectivefield theory (EFT) approach and examine their phenomenology. The dependence ofthe NNLO $K$-factor on the EFT couplings is analysed, finding that, whilerather flat for a number of EFT coefficients, it can considerably differ fromthe standard model value in some particular regions of the parameter space. Wepresent explicit examples of (almost) degeneracy in the NNLO cross-section withrespect to the anomalous couplings, showing that the invariant massdistribution has a much larger sensitivity to phenomena beyond the standardmodel and can be used as a tool to discriminate their effect.

Higgs boson pair production at NNLO in QCD including dimension 6 operators