Linking Leptonic CP violation to Quark Unitarity Triangle

TL;DR

This paper links leptonic CP violation to the quark unitarity triangle within an SO(10) GUT framework, predicting the leptonic CP phase based on quark sector measurements, which can be tested in future experiments.

Contribution

It extends previous models by connecting leptonic CP violation to quark sector phases through an SO(10) GUT with Pati-Salam symmetry, providing testable predictions.

Findings

Predicted leptonic CP phase deltaPMNS between -74° and -89°

The prediction aligns with recent T2K results

Future experiments can test these predictions

Abstract

We study the linking between the CP violating phase of the lepton sectors and the unitarity triangle of the B0 meson system. Antusch, King, Malinsky and Spinrath have shown that the quark mass matrices with the negligible 1-3 mixing give an interesting relation between the phase of the quark mixing matrices and CP violating measure phi_2(alpha). This approach is extended by considering the SO(10) GUT including the Pati-Salam symmetry, which links the Yukawa matrices of the quark sector to the one of the lepton sector. We discuss the relation of the CP violating phases between both quark and lepton sectors as well as the mixing angles. Then, the leptonic CP violating phase is predicted in terms of the angle of the unitarity triangle of the B0 meson system. The leptonic CP violating phase deltaPMNS is predicted in the region -74 to -89, which is the consistent with the recent T2K results. Our predicted phase is sensitive to phi_2(alpha) and phi_3(gamma). These predictions will be clearly tested in the future neutrino experiments as well as the Belle-II experiment.