, Volume 50, Issue 3, pp 573-578
Date: 09 Feb 2007

Quark–lepton complementarity with lepton and quark mixing data predict θ13 PMNS=(9+1 -2

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Abstract

The complementarity between the quark and lepton mixing matrices is shown to provide a robust prediction for the neutrino mixing angle θ13 PMNS. We obtain this prediction by first showing that the matrix VM, product of the CKM and PMNS mixing matrices, may have a zero (1,3) entry, which is favored by the experimental data. Hence models with bimaximal or tribimaximal forms of the correlation matrix VM are quite possible. Any theoretical model with a vanishing (1,3) entry of VM, which is in agreement with the quark data, and the solar and the atmospheric mixing angle leads to θ13 PMNS=(9+1 -2)°. This value is consistent with the present 90% CL experimental upper limit.

PACS

14.60.Pq; 14.60.Lm; 96.40.Tv