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Double Higgs production is an important signature to determine the Higgs self-interaction experimentally and consequently establish if the electroweak symmetry is broken as predicted by the Standard Model.
In this talk, I will present analytic methods which allow to approximate the NLO QCD corrections over the full phase space and first steps at extending these techniques to NNLO and to mixed QCD-electroweak corrections at NLO.
For the latter I also show results in the large top mass approximation which we computed recently.