behaviour results from a dependence on ${\mu_{{\scriptscriptstyle}F}}$ almost constant w.r.t. ${p_{{\scriptscriptstyle}T}}$, and a dependence on ${\mu_{{\scriptscriptstyle}R}}$ decreasing with ${p_{{\scriptscriptstyle}T}}$ (due to the running of ${\alpha_{{\scriptscriptstyle}S}}$). The scale dependences of  and of the pure-NLO predictions are therefore consistent at large ${p_{{\scriptscriptstyle}T}}$’s. This is what we expect, since there the  result is basically coincident with the NLO one, the effect of the shower being negligible on these inclusive variables. The size of the scale dependence is also compatible with the fact that, in fixed-order perturbation theory, ${\cal O}({\alpha_{{\scriptscriptstyle}S}})$ is actually the first order that contributes to ${p_{{\scriptscriptstyle}T}}>0$. This observation therefore applies also to low ${p_{{\scriptscriptstyle}T}}$’s in the case of the pure-NLO predictions, but it does not in the case of . In fact,  fills the low- and intermediate-${p_{{\scriptscriptstyle}T}}$ regions mostly through the showering of ${{\mathbb S}}$ events. The shower, however, determines only the kinematics of the final-state configuration (i.e., the ${p_{{\scriptscriptstyle}T}}$ of the $W$ and of the hardest jet here), but the weights are given by the short-distance cross section of eq. (\[Itwodef3\]), and therefore receive both ${\cal O}({\alpha_{{\scriptscriptstyle}S}}^0)$ and ${\cal O}({\alpha_{{\scriptscriptstyle}S}})$ contributions. This implies that in the low-${p_{{\scriptscriptstyle}T}}$ region one expects  to have a scale dependence smaller than that of the 