the parton distribution functions by choosing $\mu \sim m_S$. When we let $\eta_D = \sqrt{m_S/(154 \, {\rm GeV})}$ and choose $\lambda_3 =1$ the production cross sections for the LHC are given by Fig.6. This production mechanism must compete with the large $b$ production background from QCD. However, we note that this signal has a distinct feature in its reconstruction of a resonance in the highest $p_T$ $b$ quark pair with a larger percentage of its total number of events at high $p_T$ and small rapidity than the SM background, which has an approximate Rutherford scattering angular dependence in its production of $b$ quarks.

A Model with $\eta_U$ Naturally Small
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The charged scalar in the two Higgs doublet model has couplings to the quarks that (at leading order in the Yukawa matrices) are given by, $${\cal L}_{\rm charged}=\eta_U {\bar u}_R  g_U  d_L  S^+ + \eta_D{\bar d}_R g_D u_L S^- +{\rm h.c.}$$ We need large CP violating phases to get the fit value of $\sigma_q$. For large phases the limits on electric dipole moments suggest that $|\eta_D \eta_U| \lesssim 10^{-1}$ for charged scalars with mass of a few hundred ${\rm GeV}$. Unless the charged scalars are considerably heavier than the neutral 