A Gauged Flavor Model of Quarks and Leptons

Beyond Standard Model physics frequently connects flavor symmetry with a discrete group. If the discrete symmetry arises spontaneously from a gauge theory, one can maintain compatibility with quantum gravity and avoid anomalies. We provide an example of such a model with the Standard Model gauge group extended to $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\times SU(2{)}_{T^{\mathrm{\prime }}}$ where the binary tetrahedral flavor group $T^{\mathrm{\prime }}$ is embedded in $SU(2{)}_{T^{\mathrm{\prime }}}$. Quark and lepton masses and mixing angles are fit to data, where lepton mixing angles are shifted from tribimaximal values by the addition of scalar VEVs to agree with the experimental data.