Limits on Anomalous Couplings from Higgs Boson Production at the Tevatron

We estimate the attainable limits on the coefficients of dimension--6 operators from the analysis of Higgs boson phenomenology, in the framework of a $SU_L(2) \times U_Y(1)$ gauge-invariant effective Lagrangian. Our results, based on the data sample already collected by the collaborations at Fermilab Tevatron, show that the coefficients of Higgs-vector boson couplings can be determined with unprecedented accuracy. Assuming that the coefficients of all ``blind'' operators are of the same magnitude, we are also able to impose more restrictive bounds on the anomalous vector-boson triple couplings than the present limit from double gauge boson production at the Tevatron collider.Comment: 4 Pages, 2 figures, latex file using ReVTeX, Version to Appear in Physical Review Letter