Heavy neutral bosons and dark matter in the 3-3-1 model with axionlike particle

TL;DR

The paper investigates heavy neutral bosons and dark matter within the 3-3-1 model extended by axionlike particles (331ALP). It conducts a comprehensive analysis of lepton flavor violation, LFV Higgs decays, and collider constraints, deriving the LFV couplings and loop-induced amplitudes that govern $l_a\to l_b\gamma$ and $H\to l_il_j$ processes, and identifying viable parameter regions. It predicts a heavy Higgs mass $m_{h_2}\ge 600$ GeV and a $Z'$ mass bound $m_{Z'}\ge 5.1$ TeV, consistent with ATLAS/CMS dilepton searches, while introducing a dark-matter candidate $N_{1R}$ stabilized by a residual $\mathcal{Z}_2'$ symmetry and showing that its relic density can be compatible with Planck data via $s$-channel $\Phi$ exchange. A key result is the link between the axion-like particle breaking scale $v_\phi$ and the dark-matter mass, providing a coherent framework that connects LFV phenomenology, heavy neutral bosons, axion-like dynamics, and dark matter under current experimental limits.

Abstract

We consider heavy neutral bosons in the 3-3-1 model with axionlike particles (331ALP), including the Higgs boson and the $Z^\prime$ boson which are outside the standard model (SM). Based on gluon-gluon fusion at the LHC, we investigate the signals of cross-sections in the parameter space region satisfying the current experimental limits of lepton flavor violating decay, including processes involving both charged leptons and Higgs boson, and provide predictions of $m_{h_2}\geq 600 ~\mathrm{GeV}$. A new gauge boson, labeled as $Z^{\prime}$, is predicted $m_{Z^{\prime}}\geq 5.1 ~\mathrm{TeV}$ based on the search for high-mass dilepton resonances at ATLAS and CMS. We also introduced the symmetry group $U(1)_{\mathcal{N}}\otimes \mathcal{Z}_2^\prime$ into the model to indicate dark matter candidates. Investigating the relic density of dark matter within experimentally permissible limits, we established a relationship between the mass of dark matter and the breaking scale of axion.

Figures (7)

• Figure 1: Feynman diagrams at one-loop order of $H \rightarrow l_a l_b$ decays in the unitary gauge, $H\equiv {h_1,h_2}$
• Figure 2: Contour plots of $l_a \rightarrow l_b\gamma$ decays in plane of ($t_\alpha, m_{H^\pm_2}$).
• Figure 3: Plots of $\mathrm{Br}(h_1 \rightarrow \mu \tau)$ (left panel) and $\mathrm{Br}(h_2 \rightarrow \mu \tau)$ (right panel) in plane of ($t_\alpha, m_{H^\pm_2}$).
• Figure 4: Plots of $\sigma \left(pp \rightarrow h_2 \right) \times \mathrm{Br} \left(h_2 \rightarrow \mu\tau \right)$ (magenta line) depend on $M_H$, the green and cyan lines depict the CMS's observations for the combined decay modes of $H \rightarrow \mu\tau$ (based on Ref. CMS:2019pex) for the low and high mass ranges, respectively..
• Figure 5: The dependence of $\sigma \left(pp \rightarrow Z^\prime \rightarrow \overline{l}l \right)$ on $M_Z$ (blue line). The red line represent the upper limits of cross section by ATLAS with $\frac{\Gamma}{m}=6\%$ATLAS:2019erb, The black line represent the upper limits of cross section by CMS with $\frac{\Gamma}{m}=3\%$ at $95\%$CL CMS:2021ctt