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 ``bimaximal'' lepton flavor mixing matrix can be derived from the same mass-matrix ansatz based on broken permutation symmetry, by assuming the hierarchy of neutrino masses to be ${m}_{1}\ensuremath{\simeq}{m}_{2}\ensuremath{\ll}{m}_{3}.$ We also reproduce the recently measured angle of the unitary triangle, $\mathrm{sin}2\ensuremath{\beta},$ as well as all the observed experimental values of ${V}_{\mathrm{CKM}}$ of the quark CKM matrix. And we predict the Jarlskog rephasing-invariant quantity ${J}_{\mathrm{CP}}\ensuremath{\simeq}0.18\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ and the upper bound of the same quantity in the lepton sector, ${J}_{\mathrm{CP}}^{l}<~0.012,$ which may be indeed large enough to generate lepton number violation of the universe.