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

By Zhi-zhong Xing

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 θ12 = arctan(2 − √ 2) ≈ 30.4 ◦, θ13 = arcsin[ ( √ 2 − 1)/(2 √ 2)] ≈ 8.4 ◦ , θ23 = 45 ◦ and δ = 90 ◦ in the standard parametrization, and the Jarlskog invariant of leptonic CP violation is found to be 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 ± ± → l ± α l ± 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. PACS number(s): 14.60.Pq, 13.10.+q, 25.30.Pt Typeset using REVTE

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