https://doi.org/10.1140/epjc/s10052-024-12722-9
Regular Article - Theoretical Physics
Constraints on the trilinear and quartic Higgs couplings from triple Higgs production at the LHC and beyond
1
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
2
II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany
a
panagiotis.stylianou@desy.de
Received:
20
December
2023
Accepted:
26
March
2024
Published online:
7
April
2024
Experimental information on the trilinear Higgs boson self-coupling 
and the quartic self-coupling 
will be crucial for gaining insight into the shape of the Higgs potential and the nature of the electroweak phase transition. While Higgs pair production processes provide access to , triple Higgs production processes, despite their small cross sections, will provide valuable complementary information on and first experimental constraints on . We investigate triple Higgs boson production at the HL-LHC, employing efficient Graph Neural Network methodologies to maximise the statistical yield. We show that it will be possible to establish bounds on the variation of both couplings from the HL-LHC analyses that significantly go beyond the constraints from perturbative unitarity. We also discuss the prospects for the analysis of triple Higgs production at future high-energy lepton colliders operating at the TeV scale.
© The Author(s) 2024
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