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Correlating resonant di-Higgs and tri-Higgs production to $H \to V V$ in the two-Higgs-doublet model

Guglielmo Coloretti ^1,*, Andreas Crivellin ^2,3,†, and Howard E. Haber ^4,‡

¹INFN, Sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy
²Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona
³ICREA, Institució Catalana de Recerca i Estudis Avançats, Passeig de Lluís Companys 23, 08010 Barcelona, Spain
⁴Santa Cruz Institute for Particle Physics, University of California, 1156 High Street, Santa Cruz, California 95064, USA

^*Contact author: guglielmo.coloretti@bo.infn.it
^†Contact author: andreas.crivellin@icrea.cat
^‡Contact author: haber@scipp.ucsc.edu

Phys. Rev. D 114, 015044 – Published 28 July, 2026

DOI: https://doi.org/10.1103/g6sn-bf5n

Abstract

The observation of resonant di-Higgs production, which would strongly suggest the existence of a new heavy neutral scalar $H$ , has been searched for extensively at the LHC. In the two-Higgs doublet model (2HDM) with $m_{H} ≫ m_{h}$ , where $h$ is the Higgs boson of mass 125 GeV observed at the LHC, we show that a direct correlation emerges between $Br (H \to h h)$ and $Br (H \to V V)$ , with $V = Z$ , $W$ , which depends only on $m_{H}$ (and $m_{V}$ ). In particular, for heavy scalar masses between 500 GeV and 1 TeV, we find that $Br (H \to h h) / Br (H \to Z Z) \approx 9.4 \pm 0.25$ . Moreover, $H \to h h$ is a dominant decay mode over a significant region of the parameter space and serves as the primary probe for a heavy scalar resonance at current and future hadron colliders. The origin of these predictions is most transparent in the Higgs basis, where the term in the scalar potential proportional to $H_{1}^{†} H_{1} H_{1}^{†} H_{2}$ (and its Hermitian conjugate) generates the leading contributions to the $H h h$ and $H h h h$ couplings in the decoupling limit of the 2HDM. Additionally, the latter coupling governs the resonant prompt tri-Higgs production via $H \to h h h$ , which is also directly correlated to $H \to h h$ (and $H \to V V$ ), and can yield rates large enough to be measured at the High-Luminosity LHC.

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Phys. Rev. D 114, 015044– Published 28 July, 2026

Vol. 114, Iss. 1 — 1 July 2026

Received 3 February 2026
Accepted 26 June 2026

DOI: https://doi.org/10.1103/g6sn-bf5n

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Correlating resonant di-Higgs and tri-Higgs production to $H \to V V$ in the two-Higgs-doublet model

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Correlating resonant di-Higgs and tri-Higgs production to H→VV in the two-Higgs-doublet model

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Correlating resonant di-Higgs and tri-Higgs production to $H \to V V$ in the two-Higgs-doublet model