An SO(10) × SO(10)′ model for common origin of neutrino masses, ordinary and dark matter-antimatter asymmetries

Abstract

We propose an SO(10) × SO(10)′ model to simultaneously realize a seesaw for Dirac neutrino masses and a leptogenesis for ordinary and dark matter-antimatter asymmetries. A (16 × 1̄6̄′)H scalar crossing the SO(10) and SO(10)′ sectors plays an essential role in this seesaw-leptogenesis scenario. As a result of lepton number conservation, the lightest dark nucleon as the dark matter particle should have a determined mass around 15 GeV to explain the comparable fractions of ordinary and dark matter in the present universe. The (16 × 1̄6̄′)H scalar also mediates a U(1)em × U(1)′em kinetic mixing after the ordinary and dark left-right symmetry breaking so that we can expect a dark nucleon scattering in direct detection experiments and/or a dark nucleon decay in indirect detection experiments. Furthermore, we can impose a softly broken mirror symmetry to simplify the parameter choice.