Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons

TL;DR

This paper extends an icosahedral flavor symmetry model to include four generations of quarks and leptons, successfully accommodating fermion masses and reproducing key mixing patterns at leading order.

Contribution

It introduces a binary icosahedral symmetry extension that incorporates four generations and achieves realistic fermion masses and mixing matrices.

Findings

Fermion masses, including heavy sectors, are accommodated.

At leading order, CKM matrix is the identity.

PMNS matrix exhibits tribimaximal mixing.

Abstract

To include the quark sector, the $A_{5}\equiv I$ (icosahedron) four generation lepton model is extended to a binary icosahedral symmetry $I'$ flavor model. We find the masses of fermions, including the heavy sectors, can be accommodated. At leading order the CKM matrix is the identity and the PMNS matrix, resulting from same set of vacua, corresponds to tribimaximal mixings.