Gauged Lepton Number, Dirac Neutrinos, Dark Matter, and Muon $g-2$

Abstract

Lepton number is promoted to an $U(1{)}_L$ gauge symmetry in a simple extension of the standard model. The spontaneous breaking of $U(1{)}_L$ by three units allows a conserved $Z_3^L$ lepton symmetry to remain, guaranteeing that neutrinos are Dirac fermions, which acquire naturally small masses from a previously proposed mechanism. Dark matter appears as a singlet scalar, with dark symmetry $Z_3^D$ derivable from $Z_3^L$. Muon $g-2$ may be explained.

10 pages, 1 figure

References in corpus (9)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Pathways to Naturally Small Dirac Neutrino Masses
• Derivation of Dark Matter Parity from Lepton Parity
• Generalized Gauge U(1) Family Symmetry for Quarks and Leptons
• Linkage of Dirac Neutrinos to Dark U(1) Gauge Symmetry
• Gauge Baryon Number and Dibaryonic Dark Matter
• Dirac Neutrino Mass Matrix and its Link to Freeze-in Dark Matter
• Naturally Light Dirac Neutrinos from SU(6)
• Naturally Light Dirac Neutrinos from $SO(10)\times U(1{)}_{\psi }$

Cited by in corpus (8)

• Radiative neutrino masses, lepton flavor mixing and muon $g-2$ in a leptoquark model
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• General Remarks on the One-loop Contributions to the Muon Anomalous Magnetic Moment
• Non-Abelian Gauge Lepton Symmetry as the Gateway to Dark Matter
• Dirac dark matter, neutrino masses, and dark baryogenesis
• Dirac Neutrinos and Dark Matter within a Minimal Discrete Symmetry Model
• Dark Z-mediated dark matter with verifiable exotic scalars
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment