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Comprehensive study of the charged Higgs boson in the two Higgs doublet type-II seesaw model

Brahim Ait-Ouazghour^1,*, Abdesslam Arhrib^2,3,†, Mohamed Chabab ^1,4,‡, and Khalid Goure ^1,§

¹Cadi Ayyad University, Faculty of Science Semlalia, LPHEAG, P.O.B. 2390 Marrakech 40000, Morocco
²Abdelmalek Essaadi University, FST Tanger B.P. 416, Morocco
³LAPTh, CNRS, Université Savoie Mont-Blanc, 9 Chemin de Bellevue, 74940, Annecy, France
⁴Cadi Ayyad University, National School of Applied Science, P.O.B. 63 Safi 46000, Morocco

^*Contact author: b.ouazghour@gmail.com
^†Contact author: aarhrib@gmail.com
^‡Contact author: mchabab@uca.ac.ma
^§Contact author: khalidgoure01@gmail.com

Phys. Rev. D 113, 075006 – Published 6 April, 2026

DOI: https://doi.org/10.1103/3dj6-zg7v

Abstract

We investigate the phenomenology of the charged Higgs boson within the two-Higgs-doublet type-II seesaw model (2HDMcT type-III) at future $μ^{+} μ^{-}$ colliders. Focusing on $2 \to 2$ processes such as $μ^{+} μ^{-} \to H_{1}^{+} S^{-}$ ( $S^{-} = H_{1}^{-}, H_{2}^{-}$ ) and $μ^{+} μ^{-} \to H_{1}^{+} W^{-}$ , we incorporate both theoretical and experimental constraints to assess their production prospects. We find that $σ (μ^{+} μ^{-} \to H_{1}^{+} H_{1}^{-})$ can reach or exceed the corresponding $e^{+} e^{-}$ cross section, while $σ (μ^{+} μ^{-} \to H_{1}^{+} H_{2}^{-})$ is roughly 18 times smaller but can be enhanced up to 0.62 fb upon relaxing electroweak precision observables constraints. Moreover, we observe that the cross section for $μ^{+} μ^{-} \to H_{1}^{+} W^{-}$ is significantly enhanced due to the large $\tan β$ amplification characteristic of the type-III scenario. Furthermore, we conduct a signal-background analysis and determine the discovery ( $5 σ$ ) regions at a 3 TeV muon collider for the $μ^{+} μ^{-} \to H_{1}^{+} H_{1}^{-}$ , $μ^{+} μ^{-} \to H_{1}^{+} H_{2}^{-}$ , and $μ^{+} μ^{-} \to W^{\pm} H_{1}^{\mp}$ processes.

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Phys. Rev. D 113, 075006– Published 6 April, 2026

Vol. 113, Iss. 7 — 1 April 2026

Received 21 August 2025
Accepted 11 February 2026

DOI: https://doi.org/10.1103/3dj6-zg7v

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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Comprehensive study of the charged Higgs boson in the two Higgs doublet type-II seesaw model

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