A hyperbolic parametrization of lepton mixing for small $U_{e3}$

Details A hyperbolic parametrization of lepton mixing for small $U_{e3}$ A hyperbolic parametrization of lepton mixing for small $U_{e3}$

2005-03-15

arxiv.org/abs/hep-ph/0503142v4

Mod.Phys.Lett.A21:991-997,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

version accepted to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732306019141

We use hyperbolic functions to parametrize lepton mixing matrix using only one input parameter $\phi$. This matrix has three mixing angles as outputs therefore giving two predictions. In particular it predicts $U_{e3}=0$ besides predicting correct solar and atmospheric mixing. We confine us to real $\phi$. For complex $\phi$ mixing matrix is no longer unitary. Next we accentuate this unitary mixing matrix with an additional small parameter $\delta$ while keeping unitarity of the matrix exact. When this second parameter is included, with this framework, one can handle small but non-zero $U_{e3}$. In the second case from two input parameters one obtains three mixing angles thus one prediction.

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