A minimal set of top-Higgs anomalous couplings

We use the equations of motion to simplify the general form of fermion–fermion–Higgs interactions generated by dimension-six gauge-invariant effective operators. After removing redundant operators it is found that the most general HfifjHfifj vertex for off-shell fermions fifi, fjfj and an off-shell Higgs boson only involves scalar and pseudo-scalar terms, without derivatives. Examples are presented for the Htt and Htq   interactions, where q=u,cq=u,c, giving the explicit expressions of the vertices in terms of gauge-invariant operators. The new operator equalities obtained here also reduce the number of operators relevant for the Ztq vertices, although the general form of these interactions is not simplified with respect to previous results.