Δ(54) flavor phenomenology and strings

• Published in: The journal of high energy physics Vol. 2016; no. 12; pp. 1 - 24
• Main Authors: Carballo-Pérez, Brenda, Peinado, Eduardo, Ramos-Sánchez, Saúl
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2016
• Subjects: Atmospheric models; Classical and Quantum Gravitation; Classification; Elementary Particles; Flavor (particle physics); Flavours; Hierarchies; Neutrinos; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Reactors; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Strings; Discrete Symmetries; Neutrino Physics; Compactification and String Models
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP12(2016)131

A bstract 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.