Generalized CP symmetries in Delta(27) flavor models

TL;DR

This paper classifies all possible generalized CP symmetries in Delta(27) flavor models, revealing 12 transformations and exploring their implications as residual symmetries in the neutrino sector.

Contribution

It provides a complete classification of GCP symmetries in Delta(27) models and analyzes their role as residual symmetries in neutrino physics.

Findings

Identified 12 possible GCP transformations in Delta(27) models

Demonstrated consequences of residual GCP symmetries in neutrino sector

Enhanced understanding of flavor symmetry structures

Abstract

We classify explicitly all the possible generalized CP (GCP) symmetries that are definable in $\Delta(27)$ flavor models. In total, only 12 transformations are possible. We also show interesting consequences of considering some of them as residual symmetries of the neutrino sector.