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Larbi Rahili

Publications and source records attributed to Larbi Rahili.

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Probing the Inert Scalar Sector of the Inert Doublet Model via Vector-Boson Fusion at a Muon Collider

We investigate the sensitivity of a future high-energy muon collider (MuCs) to the inert scalar sector of the Inert Doublet Model (IDM) through a comprehensive set of $2\to4$ electroweak gauge-boson fusion processes. The scalar spectrum consists of two CP-even neutral scalars: $h$ and $H$, one CP-odd neutral scalar $A$, and a pair of charged scalars $H^\pm$. We assume the neutral scalar $H$ to be the lightest inert state and the dark matter (DM) candidate, while the observed $125$~GeV Higgs boson is identified with the scalar of the Standard Model-like doublet. We consider charged Higgs pair production: $μ^+μ^-\to H^+H^-ν\barν$ induced by WW fusion, as well as the associated channels: $μ^+μ^-\to HH^\pmμ^\mpν$ and $μ^+μ^-\to AH^\pmμ^\mpν$, induced by $WZ$ and $Wγ$ fusion. Owing to their Vector Boson Fusion (VBF) origin, the corresponding cross sections increase significantly with collider energy, making them particularly well suited for exploration at a high-energy MuCs. We first study the $2\to 2$ subprocesses $WW\to H^+ H^-$ and $WV\to H^+ S_i$, $V=Z, γ$ and $S_i=H$ or $A$ and establish the destructive interference among the contributing diagrams. After imposing theoretical consistency requirements and current experimental constraints, including those from DM and collider searches, we evaluate the corresponding signal rates at $\sqrt{s}=3$, $10$, and $20$~TeV. We further perform a detector-level Monte Carlo analysis combined with a cut-based signal-background selection. Our results demonstrate that the sensitivity to inert scalar production increases significantly with collision energy, establishing the 10 and 20~TeV MuCs stages as powerful probes of the IDM inert scalar sector.

hep-ph

Interpreting the 650 GeV and 95 GeV Higgs anomalies in the next-to-two-Higgs-doublet model

Recent experimental hints from the Large Hadron Collider (LHC) in di-photon and partially in the $τ^+τ^-$ final states suggest the possible existence of an additional Higgs boson with a mass around 95 GeV. Interestingly, these observations are consistent with earlier results from the Large Electron-Positron (LEP) collider, which pointed to an excess in $b\bar b$ final states within a similar mass range. Additionally, CMS has observed an excess in the $γγb\bar{b}$ final state, indicating a possible resonance near 650 GeV decaying into a pair of SM-like Higgs bosons or into a SM-like Higgs boson accompanied by a lighter scalar with mass near 95 GeV. In this work, we investigate whether these anomalies can be simultaneously explained within the Next-to-2-Higgs-Doublet Model (N2HDM), an extension of the Standard Model (SM) scalar sector featuring two complex Higgs doublets and an additional real singlet. Assuming the existence of a CP-even Higgs state compatible with the 95 GeV excesses (restricted to the $γγ$ and $b\bar b$ channels). Our results show that a heavy CP-even Higgs resonance around 650 GeV, produced predominantly via gluon-gluon fusion and subsequently decaying into a 125 GeV Higgs boson together with another scalar at approximately 95 GeV, can be simultaneously accommodated within both the N2HDM Type-II and Type-Y frameworks in parameter regions that remain consistent with the relevant experimental $2σ$ intervals for the reported excesses, once all theoretical and experimental constraints are imposed. This interpretation leads to distinctive and testable predictions for the ongoing LHC Run~3 and the forthcoming High-Luminosity LHC (HL-LHC) phase, in particular through correlated rates in the $γγb\bar b$, $τ^+τ^- b\bar b$, $b\bar b\,γγ$, and $γγτ^+τ^-$ final states.

hep-ph

Investigating the 95 GeV Higgs Boson Excesses within the I(1+2)HDM

In this work, we explore how the 2-Higgs Doublet Model (2HDM) Type-I, extended by an inert doublet, can provide an explanation for the recently observed excesses at the Large Hadron Collider (LHC) in the $γγ$ and $τ^+ τ^- $ final states. Hence, by imposing theoretical constraints and experimental bounds on the model parameter space, our findings show that a light CP-even Higgs boson, $h$, with a mass around 95 GeV, can account for these anomalies. This result aligns with the excess in $b\bar b$ signatures reported in earlier data from the Large Electron-Positron (LEP) collider.

hep-ph

Probing Standard Model-like di-Higgs Production at Photon-Photon Colliders in the I(1+2)HDM Type-I

In this paper, pair production of Standard Model (SM)-like Higgs bosons, $hh$, is studied through $γγ$ scattering at future electron-positron colliders, in the framework of the Inert Doublet Model with two Active Doublets, i.e., the I(1+2)HDM for short. The relevance of the process $γγ\to hh$ for such a Beyond the SM (BSM) scenario stems from the fact that it is a one-loop process at lowest order, wherein inert charged states $χ^\pm$ contribute alongside with $W^\pm$, $H^\pm$ and heavy fermions (primarily, bottom and top quarks), crucially, at the same perturbative order. {Given that $χ^\pm/H^\pm$ masses and $hS^+S^-$ ($S^\pm=χ^\pm, H^\pm$) couplings are very mildly constrained,} there exist regions of the parameter space of the I(1+2)HDM where the former can be rather light and the latter rather large. After imposing up-to-date theoretical and experimental constraints on the I(1+2)HDM, it is found that the production rates of such process at future $γγ$ machines can be enhanced up to a factor of $\approx$ $50$ with respect to the SM, significantly exceeding typical yields of conventional 2-Higgs Doublet Models (2HDMs). Further, thanks to the level of control that one can attain at such facilities on the photon kinematics, leading to excellent invariant mass resolution of the incoming photon pairs, we show how it is possible to extract from this process the value of the $χ^\pm$ mass (along that of the active $H^\pm$ states) with high precision, whichever the decays of the $hh$ pair, both with and without beam polarization.

hep-ph

Could the 650 GeV Excess be a Pseudoscalar of a 3-Higgs Doublet Model?

In this study, we propose the interpretation of a 650 GeV excess observed at the Large Hadron Collider (LHC) by the CMS Collaboration in terms of the production of a CP-odd (or pseudoscalar) Higgs boson A, with mass around 650 GeV, decaying into the Standard Model (SM)-like Higgs state $h_{125}$ (in turn decaying into $γγ$) and a Z boson (in turn decaying into $b\bar b$), within a 3-Higgs Doublet Model (3HDM) featuring two active and one inert doublet, known as the I(1+2)HDM. This theoretical structure features a spectrum with both the SM-like Higgs boson (with a 125 GeV mass) and a lighter CP-even (or scalar) Higgs state with mass around 95 GeV, $h_{95}$, which is present in this scenario for the purpose of simultaneously explaining anomalies seen in the $b\bar b$, $γγ$ and $τ^+τ^-$ final states in searches for additional light Higgs states at the Large Electron-Positron (LEP) collider and LHC itself. It should be noted that, in the I(1+2)HDM, the inert sector presents loop-induced enhancements to the $h_{95} \to γγ$ width via inert charged Higgs states, providing a viable mechanism to explain, in particular, the observed (and most significant) di-photon excess at 95 GeV. Taking into account both experimental and theoretical constraints, our results can not only explain the aforementioned anomalies (possibly, aside from the $τ^+τ^-$, which is the most marginal one) but also predict, as collateral signals, resonant production of the same CP-odd scalar A followed by the decays: (i) $A \to h_{95} \, Z$, leading to the same $γγb \bar{b}$ final state displaying the original 650 GeV anomaly and (ii) $A\to t\bar t$, leading to a well-known and studied signature.

hep-ph

Exploring Potential Higgs Resonances at 650 GeV and 95 GeV in the 2HDM Type III

Recent searches by the CMS collaboration at the Large Hadron Collider (LHC) in the `diphoton plus $b\bar{b}$ final state' have revealed an excess near 650 GeV, which might indicate the presence of a (broad) heavy resonance decaying into a Standard Model (SM) Higgs boson and an additional particle. At the same time, both ATLAS and CMS as well as all experiments at the Large Electron-Position (LEP) collider have reported excesses consistent with a light Higgs boson channel around 95 GeV, suggesting a potential connection between these two signals. In this study, we investigate these anomalies within the context of the CP-conserving 2-Higgs-Doublet Model (2HDM) Type~III. In our proposed scenario, a heavy CP-odd Higgs boson $A$ with a mass near 650 GeV decays into a SM-like Higgs boson $H$ and a $Z$ boson, with the $H$ boson subsequently decaying into diphotons and the $Z$ boson decaying into $b\bar{b}$ pairs. To explain the excess around 95 GeV, we independently select the mass of the light CP-even Higgs boson of the model $h$ to be around this value. This configuration allows for a consistent explanation of both the high- and low-mass excesses observed in the experiments. Through a detailed analysis, we demonstrate that these two signals can be fitted simultaneously at the 2.5$σ$ significance level, offering a promising solution to the observed anomalies and potentially hinting at new physics Beyond the Standard Model (BSM).

hep-ph

Searching for charged Higgs bosons via $e^+ e^- \to H^\pm W^\mp S$ at the ILC

We investigate the phenomenology of the charged Higgs boson at the International Linear Collider (ILC) within the framework of the type-X Two-Higgs Doublet Model (2HDM), where a light charged Higgs boson, with a mass around 200 GeV or even smaller than top quark mass, is still being consistent with flavor physics data as well as with the colliders experimental data. In the theoretically and experimentally allowed parameter space, the $e^+ e^- \to H^\pm W^\mp S$ (with $S = H, A$) production processes can yield signatures with event rates larger than those from $e^+ e^- \to H^+ H^-$ and offer sensitivity to the Higgs mixing parameter $\sin(β-α)$. We consider the bosonic $H^\pm \to W^\pm S$ decays, where the neutral scalar $S$ further decays into a pair of tau leptons. We show, through a detector-level Monte Carlo analysis, that the resulting $[ττ][ττ] WW$ final state could be seen at the ILC with at least 500 GeV center-of-mass energy and 500 fb$^{-1}$ of luminosity.

hep-ph

Associated charged Higgs production within the 2HDM: $e^-e^+$ versus $μ^-μ^+$ colliders

Our goal is to investigate the charged Higgs phenomenology in the framework of 2HDM at the upcoming $e^+e^-$ and muon colliders. We are primarily concerned with the associated production processes with a fermion pair: $\ell^+ \ell^- \to τ^+ ν_{τ}H^-$ and $\ell^+ \ell^- \to t \bar{b} H^-$, as well as with the W boson and a neutral Higgs boson: $\ell^+ \ell^- \to W^\pm H^\mp S$ ($S=h,\,H,\, A$) and $\ell^+ \ell^- \to W^\pm H^\mp Z$. We first update the results for $e^+e^- \to \{ τ^+ ν_{τ}H^-\ , \ t \bar{b} H^-\}$ and then discuss our findings for $e^+e^- \to \{ W^\pm H^\mp S\}$ for various center of mass energies 500 GeV, 1 TeV, 1.5 TeV and 3 TeV. In the case of muon collider, we show that the new s-channel and t-channel diagrams can increase the cross sections by virtue of their Yukawa couplings. We systematically compare our results for the muon collider with those obtained at the International Linear (ILC) and Compact Linear (CLIC) colliders. We select benchmark points and conduct signal-background analyses, incorporating detector simulations. For a 3 TeV muon collider, our results show an exclusion region at the 2$σ$ level and a discovery region at the 5$σ$ level.

hep-ph

Echoes of Veltman criteria on the next-two-Higgs-doublet model

We investigate how the Next-Two-Higgs Doublet Model extension (N2HDM) should look if we are to address the naturalness problem using dimensional regularization. In such a model, new Higgs states are predicted, namely: three CP-even $h_{1,2,3}$, one CP-odd $A$, and a pair of charged Higgs boson $H^\pm$. Our calculations of the overall quadratic divergences have been performed with full consistency with the latest data from the Large Hadron Collider (LHC) concerning the observed 125 GeV Higgs boson, alongside precision electroweak data tests and lower mass limits on charged Higgs boson. It is shown that the quadratically divergent quantum corrections $δ_i$ (i=1,2,3) for the three CP-even Higgs bosons are controllably small, though hidden fine-tuning might still be required. This reveals a significant impact on the model parameter space, Higgs spectrum mass, and notably the singlet-doublet admixture.

hep-ph

Comparison between $μ^{-}μ^{+}$ and $e^{-}e^{+}$ colliders for charged Higgs production in 2HDM

We study the phenomenology of the charged Higgs boson at future muon colliders. We investigate both the pair production $μ^+ μ^- \to H^+ H^-$, the single production $μ^+ μ^- \to W^\pm H^\mp$, as well as the Vector Boson Fusion (VBF) $\{e^+e^-, μ^+ μ^-\} \to ν\barν H^+ H^-$. We show that the neutral Higgs exchange diagrams in the muon collider case can lead to a significant boost in the cross sections through their Yukawa couplings. Our results for the muon collider are systematically compared to the corresponding ones at $e^+e^-$ machines. It is demonstrated that the vector boson fusion (VBF) $e^+e^- \to ν\barν H^+ H^-$ can compete with the mentioned $2\to 2$ processes. We select benchmark points and perform signal-background analyses, taking into account detector simulations. We demonstrate the discovery region at $5σ$ and the excluded region at $2σ$ levels at a 3 TeV muon collider.

hep-ph

Revisiting Inert Doublet Model Parameters

In this study, we aim to see how much the actual measurement of the Z+photon and di-photon signal strength, $\mugaga$ and $\mugaZ$, could influence the allowed parameter space of the Inert Doublet Model (IDM), and to what extent such measurement can be aligned with the latest bound from XENON1T experiment on the spin-independent dark-matter-nucleon scattering cross-section. Also, by considering the new embedded scalars in the IDM (i.e., $H$, $A$, and $H^\pm$), a wide investigation of the one-loop radiative corrections to the trilinear Higgs coupling $hhh$ has been made in the light of the previous measurements.

hep-ph

Naturalness Implications within the Two-Real-Scalar-Singlet beyond the SM

The aim of this study is to investigate the quadratic divergences using dimensional regularization within the context of the standard model extended by two real scalar singlets (TRSM). This extension provides three neutral scalar fields that mix, after developing its {\it vev}'s, leading to three CP-even Higgs bosons, namely: $h_1$, $h_2$ and $h_3$, which would offer a wide phenomenology at the Large Hadron Collider (LHC) as reported recently. Furthermore, to fulfill the Veltman conditions for those three fields, we dwell on the one-loop level ($d_L=2$) of dimensional regularization calculations, assuming $R_ξ$ Feynman-'t Hooft gauge-invariant generalization. We show that the divergence cancelation could take place in the framework of the TRSM, and thereby predicts a stringent constraint on the space parameters as well as the new physics (NP) scale, and yet remain consistent with current experimental measurements at 13 TeV.

hep-ph

Theory and Phenomenology of Two Higgs Doublet Type-II Seesaw Model at the LHC Run-2

We study the most popular scalar extension of the Standard Model, namely the Two Higgs doublet model, extended by a complex triplet scalar (2HDMcT). Such considering model with a very small vacuum expectation value, provides a solution to the massive neutrinos through the so-called type II seesaw mechanism. We show that the 2HDMcT enlarged parameter space allow for a rich and interesting phenomenology compatible with current experimental constraints. In this paper the 2HDMcT is subject to a detailed scrutiny. Indeed, a complete set of tree level unitarity constraints on the coupling parameters of the potential is determined, and the exact tree-level boundedness from below constraints on these couplings are generated for all directions. We then perform an extensive parameter scan in the 2HDMcT parameter space, delimited by the above derived theoretical constraints as well as by experimental limits. We find that an important triplet admixtures are still compatible with the Higgs data and investigate which observables will allow to restrict the triplet nature most effectively in the next runs of the LHC. Finally, we emphasize new production and decay channels and their phenomenological relevance and treatment at the LHC.

hep-ph

On Naturalness in type II seesaw models and the heavy Higgs masses

Here we study naturalness problem in a type II seesaw model, and show that the Veltman condition modified (mVC) by virtue of the additional scalar charged states is satisfied at one loop within a region of the allowed parameter space of the model. The latter is severely constrained by unitarity and boundedness from below as well as by consistency with the diphoton Higgs decay data of the LHC run 1. In this context, our analysis of the naturalness condition affects dramatically the masses of heavy Higgs bosons $H^0$, $A^0$, $H^\pm$ and $H^{\pm\pm}$, reducing the ranges of variation of $m_{H^\pm}$ and $m_{H^{\pm\pm}}$ with an upper bounds at 288 and 351 GeV, respectively, while the neutral Higgs bosons $H^0$, $A^0$ are found to be almost degenerate at about 207 GeV.

hep-ph

Naturalness in Type II seesaw model and implications for physical scalars

In this paper we consider a minimal extension to the standard model by a scalar triplet field with hypercharge $Y=2$. This model relies on the seesaw mechanism which provides a consistent explication of neutrino mass generation. We show from naturalness considerations that the Veltman condition is modified by virtue of the additional scalar charged states and that quadratic divergencies at one loop can be driven to zero within the allowed space parameter of the model, the latter is severely constrained by unitarity, boundedness from below and is consistent with the di-photon Higgs decay data of LHC. Furthermore, we analyse the naturalness condition effects to the masses of heavy Higgs bosons $H^0$, $A^0$, $H^\pm$ and $H^{\pm\pm}$, providing a drastic reduction of the ranges of variation of $m_{H^{\pm}}$ and $m_{H^{\pm\pm}}$ with an upper bounds at $288$ and $351$~GeV respectively, while predicting an almost degeneracy for the other neutral Higgs bosons $H^0$, $A^0$ at about $207$~GeV.

hep-ph

Type II Seesaw Higgsology and LEP/LHC constraints

In the {\sl type II seesaw} model, if spontaneous violation of the lepton number conservation prevails over that of explicit violation, a rich Higgs sector phenomenology is expected to arise with light scalar states having mixed charged-fermiophobic/neutrinophilic properties. We study the constraints on these light CP-even ($h^0$) and CP-odd ($A^0$) states from LEP exclusion limits, combined with the so far established limits and properties of the $125-126$~GeV ${\cal H}$ boson discovered at the LHC. We show that, apart from a fine-tuned region of the parameter space, masses in the $\sim 44$ to $80$ GeV range escape from the LEP limits if the vacuum expectation value of the Higgs triplet is $\lesssim {\cal O}(10^{-3})$GeV, that is comfortably in the region for 'natural' generation of Majorana neutrino masses within this model. In the lower part of the scalar mass spectrum the decay channels ${\cal H} \to h^0 h^0, A^0 A^0$ lead predominantly to heavy flavor plus missing energy or to totally invisible Higgs decays, mimicking dark matter signatures without a dark matter candidate. Exclusion limits at the percent level of these (semi-)invisible decay channels would be needed, together with stringent bounds on the (doubly-)charged states, to constrain significantly this scenario. We also revisit complementary constraints from ${\cal H} \to γγ$ and ${\cal H} \to Z γ$ channels on the (doubly)charged scalar sector of the model, pinpointing non-sensitivity regions, and carry out a likeliness study for the theoretically allowed couplings in the scalar potential.

hep-ph