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CP Violation from Flavor Symmetry in a Lepton Quarticity Dark Matter Model

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arxiv 1606.06904 v2 pith:VLNB5NAH submitted 2016-06-22 hep-ph astro-ph.COhep-ex

CP Violation from Flavor Symmetry in a Lepton Quarticity Dark Matter Model

classification hep-ph astro-ph.COhep-ex
keywords darkmattersymmetrydeltadiracflavorleptonmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a simple $\Delta (27) \otimes Z_4$ model where neutrinos are predicted to be Dirac fermions. The smallness of their masses follows from a type-I seesaw mechanism and the leptonic CP violating phase correlates with the pattern of $\Delta (27)$ flavor symmetry breaking. The scheme naturally harbors a WIMP dark matter candidate associated to the Dirac nature of neutrinos, in that the same $Z_4$ lepton number symmetry also ensures dark matter stability.

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    A one-loop Dirac neutrino mass model stabilized by a non-invertible fusion rule from Z3 x Z3' accommodates oscillation data and provides a viable bosonic dark matter candidate.