  Certain anomalous fermion-gauge boson couplings, such as the flavor diagonal
anomalous color magnetic (CMDM) and color electric (CEDM) dipole moments of
quarks are not fully gauge invariant under the SM. Restoring gauge invariance
with an elementary Higgs doublet implies that they also contribute to Higgs
boson production at the LHC and we study the corresponding constraints that can
be placed on them. In a similar manner we study the constraints that can be
placed on the $\tau$-lepton anomalous magnetic moment, electric dipole moment,
weak dipole moments, and dimension eight gluonic couplings at the LHC.
