Light sterile neutrinos, dark matter, and new resonances in a $U(1)$ extension of the MSSM

Abstract

We present ${\psi }^{\prime }$MSSM, a model based on a $U(1{)}_{{\psi }^{\prime }}$ extension of the minimal supersymmetric standard model. The gauge symmetry $U(1{)}_{{\psi }^{\prime }}$, also known as $U(1{)}_N$, is a linear combination of the $U(1{)}_{\chi }$ and $U(1{)}_{\psi }$ subgroups of $E_6$. The model predicts the existence of three sterile neutrinos with masses $\lesssim 0.1\mathrm{eV}$, if the $U(1{)}_{{\psi }^{\prime }}$ breaking scale is of order 10 TeV. Their contribution to the effective number of neutrinos at nucleosynthesis is $\Delta N_{\nu }\simeq 0.29$. The model can provide a variety of possible cold dark matter candidates including the lightest sterile sneutrino. If the $U(1{)}_{{\psi }^{\prime }}$ breaking scale is increased to $10^3\mathrm{TeV}$, the sterile neutrinos, which are stable on account of a $Z_2$ symmetry, become viable warm dark matter candidates. The observed value of the standard model Higgs boson mass can be obtained with relatively light stop quarks thanks to the D-term contribution from $U(1{)}_{{\psi }^{\prime }}$. The model predicts diquark and diphoton resonances which may be found at an updated LHC. The well-known $\mu$ problem is resolved and the observed baryon asymmetry of the universe can be generated via leptogenesis. The breaking of $U(1{)}_{{\psi }^{\prime }}$ produces superconducting strings that may be present in our galaxy. A $U(1)$ R symmetry plays a key role in keeping the proton stable and providing the light sterile neutrinos.

arXiv comment10 pages including 6 figures, uses Revtex, version published in Phys. Rev. D

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Cited by in corpus (6)

• Gravitational wave emission from metastable current-carrying strings in $E_6$
• Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
• Topological structures, dark matter and gravitational waves in $E_6$
• Investigating higgsino dark matter in the semi-constrained NMSSM
• Superconducting Strings in $E_6$
• Freeze-In Dark Matter and Leptogenesis: a ${\psi }^{\prime }$SM route