Analysis of Quark Mixing Using Binary Tetrahedral Flavor Symmetry

TL;DR

This paper explores quark mixing angles and CP violation using the binary tetrahedral flavor symmetry group $T^{'}$, proposing a model that aligns with experimental data through symmetry-breaking and specific vacuum expectation values.

Contribution

It introduces the NMRT'M, a novel $T^{'}$-based model, and demonstrates its ability to fit quark mixing data with only one parameter.

Findings

Model successfully reproduces CKM matrix angles and phase.

Uses $T^{'}$ symmetry-breaking with doublet VEVs.

Aligns theoretical predictions with experimental measurements.

Abstract

Using the binary tetrahedral group $T^{'}$, the three angles and phase of the quark CKM mixing matrix are pursued by symmetry-breaking which involves $T^{'}$-doublet VEVs and the Chen-Mahanthappa CP-violation mechanism. The NMRT$^{'}$M, Next-to-Minimal-Renormalizable -T$^{'}$-Model is described, and its one parameter comparison to experimental data is explored.