Tuesday, June 5, 2012

1206.0519 (Xinyi Zhang et al.)

Correlating lepton mixing angles and PMNS matrix with Wolfenstein
parameters
   [PDF]

Xinyi Zhang, Bo-Qiang Ma
Inspired by a new relation $\theta_{13}^{\rm PMNS}={\theta_C}/{\sqrt{2}}$ observed from the relatively large $\theta_{13}^{\rm PMNS}$, we find that the combination of this relation with the quark-lepton complementarity (QLC) and the self-complementarity (SC) results in correlations of the lepton mixing angles with the quark mixing angles. We find that the three mixing angles in the PMNS matrix are all related to the Wolfenstein parameter $\lambda$ in the quark mixing, so they are also correlated. Consequently, the PMNS matrix can be parameterized by $\lambda$, A and a Dirac CP violating phase $\delta$. Such parametrizations for the PMNS matrix have the explicitly hierarchical structure as the Wolfenstein parametrization for the CKM matrix in the quark mixing does, and the bimaximal mixing pattern is deduced at the leading order. We also discuss implications of these phenomenological relations in parameterizations.
View original: http://arxiv.org/abs/1206.0519

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