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The Higgs pair production in gluon fusion is a sensitive probe ofbeyond-Standard Model (BSM) phenomena and its detection is a major goal for theLHC and higher energy hadron collider experiments. In this work we reanalyzethe possible modifications of the Higgs pair production cross section withinlow energy supersymmetry models. We show that the supersymmetric contributionsto the Higgs pair production cross section are strongly correlated with theones of the single Higgs production in the gluon fusion channel. Motivated bythe analysis of ATLAS and CMS Higgs production data, we show that the scalarsuperpartners' contributions may lead to significant modification of thedi-Higgs production rate and invariant mass distribution with respect to the SMpredictions. We also analyze the combined effects on the di-Higgs productionrate of a modification of the Higgs trilinear and top-quark Yukawa couplings inthe presence of light stops. In particular, we show that due to the destructiveinterference of the triangle and box amplitude contributions to the di-Higgsproduction cross section, even a small modification of the top-quark Yukawacoupling can lead to a significant increase of the di-Higgs production rate.

Corrections to di-Higgs boson production with light stops and modified Higgs couplings