Volume 75, Number 2, July 2006
|Page(s)||248 - 253|
|Section||The physics of elementary particles and fields|
|Published online||14 June 2006|
Neutrino mixing and CP violation from Dirac-Majorana bimaximal mixture and quark-lepton unification
Asia Pacific Center for Theoretical Physics - Pohang 790-784, Korea
Corresponding author: email@example.com
Accepted: 26 May 2006
We demonstrate that only two ansätze can produce the features of the neutrino mixing angles. The first ansatz comes from the quark-lepton grand unification; is satisfied for left-handed neutrinos, where are the Dirac mass eigenstates and are the flavour eigenstates. The second ansatz comes from the assumption; is satisfied between the Dirac mass eigenstates and the light Majorana neutrino mass eigenstates , where Ubimaximal is the rotation matrix that contains two maximal mixing angles and a zero mixing. By these two ansätze, the Maki-Nakagawa-Sakata lepton flavour mixing matrix is given by . We find that in this model the novel relation is satisfied, where and are solar and CHOOZ angle, respectively. This “Solar-CHOOZ Complementarity” relation indicates that only if the CHOOZ angle is sizable, the solar angle can deviate from the maximal mixing. Our predictions are , and , which are consistent with experiments. We also infer the CP violation in neutrino oscillations. The leptonic Dirac CP phase is predicted as , where are the CKM parameters in Wolfenstein parametrization. In contrast to the quark CP phase , the leptonic Dirac CP phase is very small, . Furthermore, we remark that the ratio of the Jarlskog CP violation factor for quarks and leptons is important, because the large uncertainty on η is cancelled out in the ratio, .
PACS: 14.60.Pq – Neutrino mass and mixing
© EDP Sciences, 2006
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