Quark CP-Phase and Froggatt-Nielsen Mechanism

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.

Comments: 14 pages, no figure. To be published in Physics Letters B. Several sentences are added. arXiv admin note: text overlap with arXiv:1210.3763