# Discriminating the HTM and MLRSM models in collider studies via doubly charged Higgs boson pair production and the subsequent leptonic decays

• We present a case study for the doubly charged Higgs boson $H^{\pm\pm}$ pair production in $e^+e^-$ and pp colliders with their subsequent decays to four charged leptons. We consider the Higgs Triplet Model (${\texttt{HTM}}$), which is not restricted by the custodial symmetry, and the Minimal Left-Right Symmetric Model (${\texttt{MLRSM}}$). These models include scalar triplets with different complexities of scalar potentials and, because of experimental restrictions, completely different scales of non-standard triplet vacuum expectation values. In both models, a doubly charged Higgs boson $H^{\pm\pm}$ can acquire a mass of hundreds of gigaelectronvolts, which can be probed at the HL-LHC, future $e^+e^-$, and hadron colliders. We take into account a comprehensive set of constraints on the parameters of both models coming from neutrino oscillations, LHC, $e^+e^-$, and low-energy lepton flavor violating data and assume the same mass of $H^{\pm\pm}$. Our finding is that the $H^{\pm\pm}$ pair production in lepton and hadron colliders is comparable in both models, though more pronounced in the ${\texttt{MLRSM}}$. We show that the decay branching ratios can be different within both models, leading to four distinguishable lepton signals, and that the strongest are $4\mu$ events yielded by the ${\texttt{MLRSM}}$. Typically, we find that the ${\texttt{MLRSM}}$ signals are one order of magnitude larger those in the ${\texttt{HTM}}$. For example, the $pp \to 4\mu$ ${\texttt{MLRSM}}$ signal for 1 TeV $H^{\pm \pm}$ mass results in a clearly detectable significance of $S \simeq 11$ for the HL-LHC and $S \simeq 290$ for the FCC-hh. Finally, we provide quantitative predictions for the dilepton invariant mass distributions and lepton separations, which help to identify non-standard signals.

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Janusz Gluza, Magdalena Kordiaczyńska and Tripurari Srivastava. Discriminating the ${\texttt{HTM}}$ and ${\texttt{MLRSM}}$ models in collider studies via doubly charged Higgs boson pair production and the subsequent leptonic decays[J]. Chinese Physics C. doi: 10.1088/1674-1137/abfe51
Janusz Gluza, Magdalena Kordiaczyńska and Tripurari Srivastava. Discriminating the ${\texttt{HTM}}$ and ${\texttt{MLRSM}}$ models in collider studies via doubly charged Higgs boson pair production and the subsequent leptonic decays[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Discriminating the HTM and MLRSM models in collider studies via doubly charged Higgs boson pair production and the subsequent leptonic decays

###### Corresponding author: Tripurari Srivastava, tripurari@prl.res.in
• 1. Institute of Physics, University of Silesia, Katowice, Poland
• 2. Faculty of Science, University of Hradec Králové, Czech Republic
• 3. Theoretical Physics Division, Physical Research Laboratory, Ahmedabad- 380009, India

Abstract: We present a case study for the doubly charged Higgs boson $H^{\pm\pm}$ pair production in $e^+e^-$ and pp colliders with their subsequent decays to four charged leptons. We consider the Higgs Triplet Model (${\texttt{HTM}}$), which is not restricted by the custodial symmetry, and the Minimal Left-Right Symmetric Model (${\texttt{MLRSM}}$). These models include scalar triplets with different complexities of scalar potentials and, because of experimental restrictions, completely different scales of non-standard triplet vacuum expectation values. In both models, a doubly charged Higgs boson $H^{\pm\pm}$ can acquire a mass of hundreds of gigaelectronvolts, which can be probed at the HL-LHC, future $e^+e^-$, and hadron colliders. We take into account a comprehensive set of constraints on the parameters of both models coming from neutrino oscillations, LHC, $e^+e^-$, and low-energy lepton flavor violating data and assume the same mass of $H^{\pm\pm}$. Our finding is that the $H^{\pm\pm}$ pair production in lepton and hadron colliders is comparable in both models, though more pronounced in the ${\texttt{MLRSM}}$. We show that the decay branching ratios can be different within both models, leading to four distinguishable lepton signals, and that the strongest are $4\mu$ events yielded by the ${\texttt{MLRSM}}$. Typically, we find that the ${\texttt{MLRSM}}$ signals are one order of magnitude larger those in the ${\texttt{HTM}}$. For example, the $pp \to 4\mu$ ${\texttt{MLRSM}}$ signal for 1 TeV $H^{\pm \pm}$ mass results in a clearly detectable significance of $S \simeq 11$ for the HL-LHC and $S \simeq 290$ for the FCC-hh. Finally, we provide quantitative predictions for the dilepton invariant mass distributions and lepton separations, which help to identify non-standard signals.

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