Quark CP-Phase and Froggatt-Nielsen Mechanism

TL;DR

This paper explores how the Froggatt-Nielsen mechanism within an $SU(6) imes SU(2)_R$ model explains quark flavor mixing and predicts the CP-violating phase, aligning well with experimental data.

Contribution

It provides a detailed analysis of the CKM matrix structure and relates the CP phase to mixing angles using the Froggatt-Nielsen mechanism in a specific grand unified model.

Findings

Estimated the quark CP-phase as approximately 75 degrees.

Derived relations between CP phase and mixing angles.

Results agree with current experimental observations.

Abstract

On the basis of the Froggatt-Nielsen mechanism, we study quark flavor mixings in the $SU(6) \times SU(2)_R$ model. The characteristic structure of the CKM matrix is attributed to the hierarchical effective Yukawa couplings due to the Froggatt-Nielsen mechanism and also to the state-mixings beyond the MSSM. We elucidate the detailed form of the CKM matrix elements and find interesting relations between the \textit{CP} violating phase and three mixing angles. Taking the existing data of three mixing angles, we estimate the quark \textit{CP}-phase at $\delta = (75 \pm 3)^{\circ}$. This result is in accord with observations.