Tetra-maximal Neutrino Mixing and Its Implications on Neutrino Oscillations and Collider Signatures

Abstract

We propose a novel neutrino mixing pattern in terms of only two small integers 1 and 2 together with their square roots and the imaginary number $i$. This ansatz is referred to as the "tetra-maximal" mixing because it can be expressed as a product of four rotation matrices, whose mixing angles are all π/4 in the complex plane. It predicts θ_{12} = \arctan(2-\sqrt{2}) \approx 30.4^\circ, θ_{13} = \arcsin[(\sqrt{2}-1)/(2\sqrt{2})] \approx 8.4^\circ, θ_{23} = 45^\circ and δ=90^\circ in the standard parametrization, and the Jarlskog invariant of leptonic CP violation is found to be {\cal J} = 1/32. These results are compatible with current data and can soon be tested in a variety of neutrino oscillation experiments. Implications of the tetra-maximal neutrino mixing on the decays of doubly-charged Higgs bosons H^{\pm\pm} -> l^\pm_αl^\pm_β(for α, β= e, μ, τ) are also discussed in the triplet seesaw mechanism at the TeV scale, which will be explored at the upcoming LHC.

arXiv commentRevTex 11 pages. Minor changes made. Accepted for publication in Phys. Rev. D (Rapid Communication)

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• Possible Alternatives to Tri-bimaximal Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Renormalization group running of neutrino parameters
• Implications of Leptonic Unitarity Violation at Neutrino Telescopes
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• Correlative signatures of heavy Majorana neutrinos and doubly-charged Higgs bosons at the Large Hadron Collider
• The T2K Indication of Relatively Large theta_13 and a Natural Perturbation to the Democratic Neutrino Mixing Pattern
• Systematic search for successful lepton mixing patterns with nonzero theta_13
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large theta_13
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Majorana CP-violating phases in neutrino-antineutrino oscillations and other lepton-number-violating processes
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• Theoretical Overview of Neutrino Properties
• Perturbations to μ-τ symmetry in neutrino mixing
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• Interference bands in decays of doubly-charged Higgs bosons to dileptons in the minimal type-II seesaw model at the TeV scale
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• A Nearest-neighbor Expansion of Lepton Flavor Mixing in Powers of the $\mu$-$\tau$ Permutation Symmetry Breaking Effect
• Breaking of the tetra-maximal neutrino mixing pattern