A Viable Randall-Sundrum Model for Quarks and Leptons with T' Family Symmetry

TL;DR

This paper introduces a Randall-Sundrum model with T' family symmetry that naturally explains fermion mass hierarchies, neutrino mixing, and CP violation, while avoiding flavor-changing neutral currents, making it testable at colliders.

Contribution

It presents a novel warped geometry model with T' symmetry that unifies fermion generations and predicts observable collider signatures.

Findings

Generates tri-bimaximal neutrino mixing

Produces a realistic CKM matrix with CP violation

Predicts a low KK mass scale suitable for collider tests

Abstract

We propose a Randall-Sundrum model with a bulk family symmetry based on the double tetrahedral group, T', which generates the tri-bimaximal neutrino mixing pattern and a realistic CKM matrix, including CP violation. Unlike 4D models where the generation of mass hierarchy requires additional symmetry, the warped geometry naturally gives rise to the fermion mass hierarchy through wavefunction localization. The T' symmetry forbids tree-level flavor changing neutral currents in both the quark and lepton sectors, as different generations of fermions are unified into multiplets of T'. This results in a low first KK mass scale and thus the model can be tested at collider experiments.