Analysis of Quark Mixing Using Binary Tetrahedral Flavor Symmetry

Using the binary tetrahedral group $T^{{}^{\mathrm{\prime }}}$, the three angles and phase of the quark CKM mixing matrix are pursued by symmetry-breaking which involves $T^{{}^{\mathrm{\prime }}}$-doublet VEVs and the Chen-Mahanthappa CP-violation mechanism. The NMRT${}^{{}^{\mathrm{\prime }}}$M, Next-to-Minimal-Renormalizable -T${}^{{}^{\mathrm{\prime }}}$-Model is described, and its one parameter comparison to experimental data is explored.