\(U(1)_\chi\) and Seesaw Dirac Neutrinos
Abstract
In the context of $SO(10) \to SU(5)\times U(1)\chi$, it is shown how seesaw Dirac neutrinos
may be obtained. In this framework, $U(1)$ lepton number is conserved, with which self-
interacting dark matter with a light scalar dilepton mediator may be implemented. In
addition, $U(1)$ baryon number may be broken to (−1)3B, thereby generating a baryon
asymmetry of the Universe. The axionic solution to the strong CP problem may also
be incorporated.
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