Hierarchical Quark Mixing and Bimaximal Lepton Mixing on the Same Footing

Abstract

We show that not only the hierarchical quark CKM mixing matrix but also the &#34;bimaximal&#34; lepton flavor mixing matrix can be derived from the same mass matrix ansatz based on the broken permutation symmetry, by assuming the hierarchy of neutrino masses to be $m_1\simeq m_2 <<m_3$. We also reproduce the recently measured angle of unitary triangle, $\sin 2β$, as well as all the observed experimental values of $V_{\tiny CKM}$ of the quark CKM matrix. And we predict Jarlskog rephasing invariant quantity, $J_{\tiny CP} \simeq 0.18 \times 10^{-4}$, and the upper bound of the same quantity in the lepton sector, $J^l_{\tiny CP} \leq 0.012$, which may be indeed large enough to generate the lepton number violation of the universe.