Abstract
We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. Phenomenologically, we study the neutrino oscillation probabilities for different channels, which can be measured precisely in forthcoming reactor and accelerator experiments. As an example of the applicability of our assumption, CP violation in the lepton sector is also discussed. In the latest T2K experiment, the range of the mixing angle θ13 is measured, and our prediction of θ13 is compatible with their result.
Highlights
We propose a new relation between quark mixing matrix and lepton mixing matrix
A commonly used form is the standard parametrization proposed by Chau and Keung (CK) [3]
Under an Ansatz that UPMNS becomes an exact tri-bimaximal mixing UTB in a limit VCKM = 1 [11]. Such a relation maybe comes from certain flavor symmetries, and the corresponding symmetry breaking effects may induce the deviations of the observed VCKM and UPMNS from the exact unit matrix and tri-bimaximal matrix
Summary
We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. These results for angles are compatible with the tri-bimaximal (TB) matrix [5] Under an Ansatz that UPMNS becomes an exact tri-bimaximal mixing UTB in a limit VCKM = 1 [11].
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