SU(5)$\times$U(1)${}_X$ grand unification with minimal seesaw and $Z^{\prime }$-portal dark matter

Abstract

We propose a grand unified SU(5)$\times$U(1)${}_X$ model, where the standard SU(5) grand unified theory is supplemented by minimal seesaw and a right-handed neutrino dark matter with an introduction of a global $Z_2$-parity. In the presence of three right-handed neutrinos (RHNs), the model is free from all gauge and mixed-gravitational anomalies. The SU(5) symmetry is broken into the Standard Model (SM) gauge group at $M_{\mathrm{GUT}}\simeq 4\times 10^{16}$ GeV in the standard manner, while the U(1)${}_X$ symmetry breaking occurs at the TeV scale, which generates the TeV-scale mass of the U(1)${}_X$ gauge boson ($Z^{\prime }$ boson) and the three Majorana RHNs. A unique $Z_2$-odd RHN is stable and serves as the dark matter (DM) in the present Universe, while the remaining two RHNs work to generate the SM neutrino masses through the minimal seesaw. We investigate the $Z^{\prime }$-portal RHN DM scenario in this model context, and find that the constraints from the DM relic abundance and the search results for a $Z^{\prime }$ boson resonance at the Large Hadron Collider (LHC) are complementary to narrow down the allowed parameter region, which will be fully covered by the future LHC experiments (for the $Z^{\prime }$ boson mass $<$ 5 TeV). We also briefly discuss the successful implementation of Baryogenesis and cosmological inflation scenarios in the present model.

arXiv comment6 pages, 2 figures, revised plots, accepted for publication in plb

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• A reappraisal of constraints on $Z^{\prime }$ models from unitarity and direct searches at the LHC
• A natural $Z^{\prime }$-portal Majorana dark matter in alternative U(1) extended Standard Model
• Light $Z^{\prime }$ and Dark Matter from U(1)${}_X$ Gauge Symmetry
• Solving local anomaly equations in gauge-rank extensions of the Standard Model
• Gravitational waves from breaking of an extra $U(1)$ in $SO(10)$ grand unification
• Pseudo-Goldstone Dark Matter in $SO(10)$
• Freeze-in Dark Matter from a Minimal B-L Model and Possible Grand Unification
• Predictive Scotogenic Model with Flavor Dependent Symmetry
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• Light $Z^{\prime }$ and Dirac fermion dark matter in the $B-L$ model
• Natural Higgs Inflation, Gauge Coupling Unification, and Neutrino Masses
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Supersymmetric $SU(5)\times U(1{)}_{\chi }$ and the Weak Gravity Conjecture
• Alternative Renormalizable Minimal SO(10) GUTs and Data Fitting
• UV completion of an axial, leptophobic, $Z^{\prime }$
• Minimally Extended Left-Right Symmetric Model for Dark Matter with U(1) Portal
• Associated Higgs boson production with $Z$ boson in the minimal $U(1{)}_X$ extended Standard Model
• Neutrino Mass, Vacuum Stability and Higgs Inflation with Vector-Like Quarks and a Single Right-Handed Neutrino
• $SU(5)\times U(1{)}_X$ Axion Model with Observable Proton Decay