$e^{+}{e}^{-}\to t\bar{t}H$ with Non-standard Higgs Boson Couplings

Abstract

We consider a general effective Lagrangian for couplings of a Higgs boson to the top-quark to dimension-six operators including CP violation effects. Constraints on some of them are derived from the $Z\to b\bar{b}$ data. We study the process $e^{+}{e}^{-}\to t\bar{t}H$ to probe the non-standard couplings. We find that at a linear collider with a c. m. energy $\sqrt{s}\sim 0.5-1.5$ TeV and a high luminosity of 10-1000 fb${}^{-1}$, these non-standard couplings may be sensitively probed.

Comments: 25 pages LaTeX file, 10 ps figures, 2 tables