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

TL;DR

The paper introduces a new 'tetra-maximal' neutrino mixing pattern based on simple mathematical constructs, predicting specific mixing angles and CP violation phase, consistent with current data and testable in future experiments.

Contribution

It proposes a novel neutrino mixing ansatz using only small integers and roots, providing explicit predictions for mixing angles and CP violation, and explores collider implications.

Findings

Predicts heta_{12} o 30.4^ ext{o}

Predicts heta_{13} o 8.4^ ext{o}

Suggests observable collider signatures at LHC

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 \pi/4 in the complex plane. It predicts \theta_{12} = \arctan(2-\sqrt{2}) \approx 30.4^\circ, \theta_{13} = \arcsin[(\sqrt{2}-1)/(2\sqrt{2})] \approx 8.4^\circ, \theta_{23} = 45^\circ and \delta =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_\alpha l^\pm_\beta (for \alpha, \beta = e, \mu, \tau) are also discussed in the triplet seesaw mechanism at the TeV scale, which will be explored at the upcoming LHC.