\midheading{$W+c$ production, processes 13,18} \label{subsec:wc} These processes represent the production of a $W$ boson which subsequently decays leptonically, in association with a charm quark. This is produced at leading order by an initial state which contains a strange anti-quark (or Cabibbo suppressed $d$ anti-quark) and a gluon, e.g $ \bar{d}(-p_1)+g(p_2) \to W^+(\to \nu(p_3)+e^+(p_4))+\bar{c}(p_5)$ and $ \bar{u}(-p_1)+g(p_2) \to W^+(\to \nu(p_3)+e^+(p_4))+\bar{c}(p_5)$ or the charge conjugate process for $W^{-}$. This process is somewhat analogous to single top production. The effect of the charm quark mass is included throughout the calculation. The calculation of this process may be performed both at LO and NLO. When {\tt removebr} is true, the $W$ boson does not decay.