CP violating phase from minimal texture neutrino mass matrix: Test of the phase relevant to leptogenesis

TL;DR

This paper predicts the CP violation phase in a minimal texture neutrino mass matrix model to be between 0.77π and 1.24π, providing a testable link to leptogenesis and experimental data.

Contribution

It offers a specific prediction for the CP violation phase in minimal texture neutrino models, connecting it to leptogenesis and experimental verification.

Findings

Predicted CP phase range: 0.77π to 1.24π

If experimental phase falls outside this range, the model fails

Supports the presence of complex phases for leptogenesis

Abstract

The model of neutrino mass matrix with minimal texture is now tightly constrained by experiment so that it can yield a prediction for the phase of CP violation. This phase is predicted to lie in the range $\delta_{CP}=0.77\pi - 1.24\pi$. If neutrino oscillation experiment would find the CP violation phase outside this range, this means that the minimal-texture neutrino mass matrix, the element of which is all real, fails and the neutrino mass matrix must be complex, i.e., the phase must be present that is responsible for leptogenesis.