L μ -L τ effects to quarks and leptons from flavor unification

In the family grand unification theory (GUT) models, we propose that gauge U(1)\u0027s beyond the minimal GUT gauge group are family gauge symmetries. For the symmetry ${L}_{\\ensuremath{\\mu}}\\ensuremath{-}{L}_{\\ensuremath{\\tau}}$, i.e., ${Q}_{2}\\ensuremath{-}{Q}_{3}$ in our case, to be useful for the LHC anomaly, we discuss an SU(9) family GUT and also present an example in Georgi\u0027s SU(11) family GUT.