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We investigate the prospective reach of the 14 TeV HL-LHC for resonantproduction of a heavy Higgs boson that decays to two SM-like Higgs bosons inthe $4b$ final state in the scalar singlet extended Standard Model. We focus onthe reach for choices of parameters yielding a strong first order electroweakphase transition. The event selection follows the $4b$ analysis by the ATLASCollaboration, enhanced with the use of a boosted decision tree method tooptimize the discrimination between signal and background events. The output ofthe multivariate discriminant is used directly in the statistical analysis. Theprospective reach of the $4b$ channel is compatible with previous projectionsfor the $bb\gamma\gamma$ and $4\tau$ channels for heavy Higgs boson mass $m_2$below 500 GeV and superior to these channels for $m_2 > 500$ GeV. With 3ab$^{-1}$ of integrated luminosity, it is possible to discover the heavy Higgsboson in the $4b$ channel for $m_2< 500$ GeV in regions of parameter spaceyielding a strong first order electroweak phase transition and satisfying allother phenomenological constraints.

Probing a Scalar Singlet-Catalyzed Electroweak Phase Transition with Resonant Di-Higgs Production in the $4b$ Channel