Scotogenic Cobimaximal Dirac Neutrino Mixing from $\Delta (27)$ and $U(1{)}_{\chi }$

Abstract

In the context of $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\times U(1{)}_{\chi }$, where $U(1{)}_{\chi }$ comes from $SO(10)\to SU(5)\times U(1{)}_{\chi }$, supplemented by the non-Abelian discrete $\Delta (27)$ symmetry for three lepton families, Dirac neutrino masses and their mixing are radiatively generated through dark matter. The gauge $U(1{)}_{\chi }$ symmetry is broken spontaneously. The discrete $\Delta (27)$ symmetry is broken softly and spontaneously. Together, they result in two residual symmetries, a global $U(1{)}_L$ lepton number and a dark symmetry, which may be $Z_2$, $Z_3$, or $U(1{)}_D$ depending on what scalar breaks $U(1{)}_{\chi }$. Cobimaximal neutrino mixing, i.e. ${\theta }_{13}\ne 0$, ${\theta }_{23}=\pi /4$, and ${\delta }_{CP}=\pm \pi /2$, may also be obtained.

11 pages, 1 figure, ref. added

References in corpus (13)

• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Pathways to Naturally Small Dirac Neutrino Masses
• Gauging U(1) symmetries and the number of right-handed neutrinos
• Radiative Neutrino Mass, Dark Matter and Leptogenesis
• S_4 Flavored CP Symmetry for Neutrinos
• Two-loop Dirac neutrino mass and WIMP dark matter
• Derivation of Dark Matter Parity from Lepton Parity
• Minimal radiative Dirac neutrino mass models
• Scotogenic $U(1{)}_{\chi }$ Dirac Neutrinos
• Probing Lepton Flavor Triality with Higgs Boson Decay
• Cobimaximal lepton mixing from soft symmetry breaking
• Schizophrenic active neutrinos and exotic sterile neutrinos
• $SO(10)\to SU(5)\times U(1{)}_{\chi }$ as the Origin of Dark Matter

Cited by in corpus (14)

• Generalizing the Scotogenic model
• Light Dirac neutrino portal dark matter with observable $\Delta N_{\mathrm{eff}}$
• Observable Signatures of Scotogenic Dirac Model
• $\Delta (27)$ framework for cobimaximal neutrino mixing models
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• Anomaly-free Abelian gauge symmetries with Dirac scotogenic models
• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• Absolute neutrino mass scale and dark matter stability from flavour symmetry
• Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing
• CDF-II W boson mass in the Dirac Scotogenic model
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Phenomenology of an Extended $1+2$ Higgs Doublet Model with $S_3$ Family Symmetry
• Double type-II Dirac seesaw accompanied by Dirac fermionic dark matter
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry