English

Second Octant Favored for Non-Maximal $\theta_{23}$

High Energy Physics - Phenomenology 2017-07-06 v1

Abstract

One of the most robust relationships predicted by binary tetrahedral (TT^{'}) flavor symmetry relates the reactor neutrino angle θ13\theta_{13} to the atmospheric neutrino angle θ23\theta_{23}, independently of θ12\theta_{12}. It has the form θ13=2π4θ23\theta_{13} = \sqrt{2} |\frac{\pi}{4} - \theta_{23}|. When this prediction first appeared in 2008, θ13\theta_{13} was consistent with zero and θ23\theta_{23} with π/4\pi/4. Non-zero θ13\theta_{13} was established by Daya Bay in 2012. Non-zero π4θ23|\frac{\pi}{4}-\theta_{23}| is now favored by the NOν\nuA experiment and, for θ23\theta_{23}, the aforementioned TT^{'} relation selects the second octant (θ23>π4\theta_{23} > \frac{\pi}{4}) over the first octant (θ23<π4\theta_{23} < \frac{\pi}{4}). This analysis initially assumes CP conservation in the lepton sector, but leptonic CP violation is discussed and it is shown that this specific TT^{'} relationship is invariant.

Cite

@article{arxiv.1707.01383,
  title  = {Second Octant Favored for Non-Maximal $\theta_{23}$},
  author = {Paul H. Frampton},
  journal= {arXiv preprint arXiv:1707.01383},
  year   = {2017}
}

Comments

11 pages LaTeX

R2 v1 2026-06-22T20:38:33.746Z