Leptogenesis from the Dirac CP-violating phase in the minimal left-right symmetric model

Abstract

Leptogenesis from low-energy CP violation provides a vital link between neutrino physics and the observed baryon asymmetry of the universe. However, this connection is typically obscured by unknown high-energy parameters. In this work, we investigate thermal leptogenesis in the Minimal Left-Right Symmetric Model with generalized parity as the left-right symmetry, where the hermiticity of the Dirac neutrino coupling allows the right-handed mixing matrix $V_{\mathrm{R}}$ to be determined with minimal assumptions. We show that for a real $V_{\mathrm{R}}$, these conditions favor CP-conserving Majorana phases, leaving the Dirac CP-violating phase ($\hat{I}´$) as the sole source of asymmetry. By numerically exploring all four leptogenesis scenarios, we demonstrate that $\hat{I}´$ alone can generate the observed baryon asymmetry with the correct sign within specific regions of the parameter space. The results exhibit a high sensitivity to the neutrino mass ordering and the lightest neutrino mass, providing a stringent, testable framework for future experimental measurements of the CP phase and neutrino mass scale.

15 pages, 4 figures