$U(1{)}_{\chi }$ 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-interaction 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.

Comments: 10 pages, 1 figure (final version to appear in LHEP)