Non-unitary deviation from the tri-bimaximal lepton mixing and its implications on neutrino oscillations
arXiv:0804.4897 · doi:10.1103/PhysRevD.78.016006
Abstract
We propose a new pattern of the neutrino mixing matrix which can be parametrized as the product of an arbitrary Hermitian matrix and the well-known tri-bimaximal mixing matrix. In this scenario, nontrivial values of the smallest neutrino mixing angle θ_13 and the CP-violating phases entirely arise from the non-unitary corrections. We present a complete set of series expansion formulas for neutrino oscillation probabilities both in vacuum and in matter of constant density. We do a numerical analysis to show the non-unitary effects on neutrino oscillations. The possibility of determining small non-unitary perturbations and CP-violating phases is discussed by measuring neutrino oscillation probabilities and constructing "deformed unitarity triangles". Some brief comments on the non-unitary neutrino mixing matrix in the type-II seesaw models are also given.
30 pages, 4 PS figures. More discussions added. Accepted for publication in Phys. Rev. D
References in corpus (10)
- Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
- CP-violation from non-unitary leptonic mixing
- Pair Production of Doubly-Charged Scalars: Neutrino Mass Constraints and Signals at the LHC
- Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
- Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos
- Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
- A Compromise between Neutrino Masses and Collider Signatures in the Type-II Seesaw Model
- Searching for New Physics in Future Neutrino Factory Experiments
- Discriminating among the theoretical origins of new heavy Majorana neutrinos at the CERN LHC
- Non-unitary leptonic mixing and CP-violation