Leptonic $CP$ violating Phase in the Yukawaon Model

Abstract

In the so-called "Yukawaon" model, the (effective) Yukawa coupling constants $Y_f^{eff}$ are given by vacuum expectation values (VEVs) of scalars $Y_f$ (Yukawaons) with $3\times 3$ components. In this brief report, we change VEV forms $<Y_f>$ in the previous paper into a unified form. Therefore, parameter fitting for quark and lepton masses and mixings is revised. Especially, we obtain predicted values of neutrino mixing $\sin^2 2\theta_{13}$ and a leptonic $CP$ violating phase $\delta_{CP}^\ell$ which are consistent with the observed curve in the $(\sin^2 2\theta_{13}, \delta_{CP}^\ell)$ reported by T2K group recently.