\midheading{$WH$ production, process 609} This process represents the production of $W$ and $H$ bosons in association with a jet, with the subsequent decay $H \to \tau^+ \tau^-$. Both charges of the $W$ boson are summed over and, as a result, the decay products of the $W$ boson, particles 3 and 4, represent lepton and antilepton respectively (i.e. they do not correspond to a neutrino and charged lepton). It is primarily of interest as a component part of the NNLO contributions to $WH$ production. For further information see ref.~\cite{Campbell:2016jau}. This process is calculable at leading LO and next-to-leading order NLO.