CP Conserving and CP Violating Asymmetries in $e^+e^-\to t\bar t\nu_e\bar\nu_e$} at the NLC: Application to Determining the Higgs Width

The polarization asymmetries of $t$, $\bar t$ quarks can be used in the reaction $e^+e^-\to t\bar t\nu_e\bar\nu_e$ to measure the Higgs width, in the Standard Model or in its extensions, and to search for non-standard CP violating phases. As an application of the CPT theorem the Higgs width is monitored through a CP-even, $T_N$-odd, polarization asymmetry, $B_y$. CP violation manifests through interference at tree graph level with the resonant Higgs amplitude. Consequently, the asymmetries are all quite sizable and can be in the range of 10--50\% for a wide choice of the Higgs mass.