Variations on the Supersymmetric Q6 Model of Flavor

TL;DR

This paper explores a supersymmetric Q6 flavor symmetry model that introduces a new CP violating ground state, leading to a sum rule consistent with data and implications for neutrino mass hierarchy and CP violation.

Contribution

It presents a novel CP violating ground state in the supersymmetric Q6 model, with extensions to neutrinos and solutions to SUSY flavor and CP problems.

Findings

New sum rule for quark mixing parameters

Inverted neutrino mass hierarchy with maximal CP violation

Model reduces fermion sector parameters

Abstract

We observe that a recently proposed supersymmetric model with Q6 flavor symmetry admits a new CP violating ground state. A new sum rule for the quark mixing parameters emerges, which is found to be consistent with data. Simple extensions of the model to the neutrino sector suggest an inverted hierarchical mass spectrum with nearly maximal CP violation (|delta_{MNS}| simeq pi/2). Besides reducing the number of parameters in the fermion sector, these models also provide solutions to the SUSY flavor problem and the SUSY CP problem. We construct a renormalizable scalar potential that leads to the spontaneous breaking of CP symmetry and the family symmetry.