Dark symmetry implication for right-handed neutrinos

Abstract

We argue that the long-standing issues of neutrino mass and dark matter can be manifestly solved in a dark gauge symmetry $U(1{)}_D$ that transforms nontrivially only for three right-handed neutrinos ${\nu }_{1,2,3R}$ -- the counterparts of known left-handed neutrinos. This theory assigns ${\nu }_{1,2,3R}$ dark charge to be $D=0$, $-1$, and $+1$, respectively, in order for anomaly cancelation. Additionally, it imposes an inert Higgs doublet $\eta$ and two Higgs singlets $\xi ,\varphi$ with dark charge $D=+1$, $-1$, and $+2$, respectively. That said, the dark symmetry is broken by $\varphi$ (by two units) down to a dark parity $P_D=(-1{)}^D$, for which ${\nu }_{2,3R}$ and $\eta ,\xi$ are odd, whereas all other fields are even due to $D=0$. The lightest of these odd fields is stabilized by $P_D$, responsible for dark matter. Neutrino masses are generated by a scotoseesaw scheme, in which the seesaw part is mediated by ${\nu }_{1R}$, while the scotogenic part is mediated by ${\nu }_{2,3R}$, for which the hierarchy of atmospheric and solar neutrino mass splittings is explained.

14 pages, 2 figures, 1 table; matches published version in PRD

References in corpus (10)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• First Dark Matter Search Results from the LUX-ZEPLIN (LZ) Experiment
• Search for supersymmetry in final states with two oppositely charged same-flavor leptons and missing transverse momentum in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Neutrino masses and CDM in a non-supersymmetric model
• Correlating $W$-Boson Mass Shift with Muon $g-2$ in the 2HDM
• Predictions from scoto-seesaw with $A_4$ modular symmetry
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Dynamical scoto-seesaw mechanism with gauged $B-L$
• Interpreting dark matter solution for $B-L$ gauge symmetry
• Scotoseesaw model implied by dark right-handed neutrinos

Cited by in corpus (1)

• Dirac Scoto Inverse-Seesaw from $A_4$ Flavor Symmetry