Δ(54) flavor phenomenology and strings
Abstract
Δ(54) can serve as a flavor symmetry in particle physics, but remains almost unexplored. We show that in a classification of semi-realistic &Z; 3 × &Z; 3 heterotic string orbifolds, Δ(54) turns out to be the most natural flavor symmetry, providing additional motivation for its study. We revisit its phenomenological potential from a low-energy perspective and subject to the constraints of string models. We find a model with Δ(54) arising from heterotic orbifolds that leads to the Gatto-Sartori-Tonin relation for quarks and charged-leptons. Additionally, in the neutrino sector, it leads to a normal hierarchy for neutrino masses and a correlation between the reactor and the atmospheric mixing angles, the latter taking values in the second octant and being compatible at three sigmas with experimental data.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- December 2016
- DOI:
- 10.1007/JHEP12(2016)131
- arXiv:
- arXiv:1607.06812
- Bibcode:
- 2016JHEP...12..131C
- Keywords:
-
- Compactification and String Models;
- Discrete Symmetries;
- Neutrino Physics;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 21 pages, 2 figures