A Model of the Matter-antimatter Asymmetry and Cold Dark Matter with $U(1)_{B-L}\otimes U(1)_{D}$

TL;DR

This paper proposes a new effective model with $U(1)_{B-L}$ and $U(1)_{D}$ symmetries that explains matter-antimatter asymmetry, cold dark matter, and neutrino masses, with testable predictions for future colliders.

Contribution

It introduces a novel model linking neutrino Dirac masses, matter asymmetry, and dark matter within a specific symmetry framework, with testable collider signatures.

Findings

Neutrinos are Dirac particles with masses related to $U(1)_{D}$ breaking.

Matter-antimatter asymmetry is connected to quark and lepton mass hierarchies.

Dark matter mass likely in the 250-350 GeV range.

Abstract

I suggest an effective model between the GUT and the electroweak scale. It only introduces the two symmetries of $U(1)_{B-L}$ and $U(1)_{D}$ besides the SM groups. The two symmetries are individually broken at the reheating temperature of the universe of $10^{12}$ GeV and the scale of $3\sim 4$ TeV. The model can simultaneously accommodate the tiny neutrino masses, the matter-antimatter asymmetry and the cold dark matter (CDM). In particular, the model gives some interesting results and predictions, for instance, the neutrinos are Dirac nature and their masses are related to the $U(1)_{D}$ breaking, the size of the matter-antimatter asymmetry is closely related to the mass hierarchy of the quarks and charged leptons, the CDM mass is probably in the range of $250\sim 350$ GeV. Finally, it is feasible to test the model in future collider experiments.