We study the indirect constraints on the quartic Higgs self-coupling that arise from double-Higgs production at future hadron colliders.To this purpose, we calculate the two-loop contributions to the gg → hh amplitudes that involve a modified h 4 vertex.Based on our results, we estimate the reach of a pp collider operating at 27 TeV and 100 TeV centre-of-mass energy in constraining the cubic and quartic Higgs self-couplings by measurements of double-Higgs and triple-Higgs production in gluon-fusion.
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Bizoń et al. (2024) studied this question.
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