into constraints on the $\sin\omega$–$M_{H_t}$ parameter space as follows. We compute the cross section for $gg \to H_t \to WW$ according to the approximation $$\begin{aligned}
    \sigma(gg \to H_t \to WW) &= \sigma^{\rm SM}(gg \to H) 
        \frac{\Gamma(H_t \to gg)}{\Gamma^{\rm SM}(H \to gg)}
        {\rm BR}(H_t \to WW) \\ \nonumber
                &=\sigma^{\rm SM}(gg \to H) \frac{BR( H_t \to gg)\Gamma(H_t)}{BR( H_{\textrm{SM}} \to gg)\Gamma(H_{\textrm{SM}})}{\rm BR}(H_t \to WW),\end{aligned}$$ where $\Gamma^{\rm SM}(H \to gg)$ is the SM partial width of $H$ to gluons computed using HDECAY [@HDECAY], $\Gamma(H_t \to gg)$ and BR($H_t \to WW$) are the partial width of $H_t$ to gluons and the branching ratio of $H_t$ to $WW$, respectively, computed using our modified version of HDECAY, and $\sigma^{\rm SM}(gg \to H)$ is the SM Higgs gluon fusion cross section, which we take from Table 2 of Ref. [@Anastasiou:2008tj] for $M_H\leq 200$ GeV and compute using the public code RGHIGGS  [@Ahrens:2008qu; @Ahrens:2008nc; @Ahrens:2010rs] for $M_H> 200$ GeV. For each value of $\sin\omega$, a specific range of masses for the top-Higgs is excluded by the Tevatron data. For example, for the illustrative value $\sin\omega = 0.5$, the data implies that the mass range $140\ {\rm GeV} < M_{H_t} < 195\ {\rm GeV}$ is excluded. We present this in 