{\rm GeV}$ is $\sigma \sim 1 \, {\rm fb} $ with a signal of two $b$ jets and two $t$ jets is produced in association with tagging light quark jets at large $\rm p_T$.

At the LHC, production through the tree level exchange of a vector boson is no longer dominated by $W^\pm$ exchange. The cross sections for the pair production of scalars are all similar in their dependence on $\lambda_3$ and as a function of $m_S$. We show $\sigma(pp \rightarrow W^\pm \rightarrow S^\pm \, S_{R/I})$ for $\sqrt{s} = 7 \, {\rm TeV}$ in Fig. 5.

Although these vector boson exchange cross sections for LHC are small, potentially observable signals at LHC do exist when $\eta_D$ is larger than one, and $S_{R/I}$ is made with large logarithms associated with collinear gluon splitting [@Dawson:2005vi] and small $p_T$ of the spectator $b$ quarks. The cross-section for the production of the lightest state $b\, \bar{b}\to S_I^0$ at leading log takes the form [@Mantry:2007ar] $$\begin{aligned}
\label{bbS}
\sigma(b \bar{b} S_I^0) \simeq \frac{|\eta_D|^2 \pi} {3 \, s} \left(\frac{m_b^2}{v^2}\right) \int _{\frac{m_{S_I}^2}{s}}^1 \frac{dx}{x} b(x,\mu) \bar{b}(\frac{m_{S_I^0}^2}{x s},\mu),\end{aligned}$$ where $b(x,\mu)$ and $\bar{b}(x,\mu)$ are the $b$ quark and antiquark PDFs respectively. The large logs from collinear gluon splitting are summed into 