\midheading{$Z+Q+$jet production, processes 341--357} \label{subsec:ZQj} These processes represent the production of a $Z$ boson that decays into a pair of electrons, in association with a heavy quark, $Q$ and an untagged jet. For more details on this calculation, please see Ref.~\cite{Campbell:2005zv}. For processes {\tt 341} and {\tt 351} the initial state at lowest order is the heavy quark and a gluon and the calculation may be performed at NLO. Thus in these processes the quark $Q$ occurs as parton PDF in the initial state. As for $H+b$ and $Z+Q$ production, the matrix elements are divided into two sub-processes at NLO. Thus the user must sum over these after performing more runs than usual. At lowest order one can proceed as normal, using {\tt nproc=341} (for $Zbj$) or {\tt nproc=351} (for $Zcj$). For a NLO calculation, the sequence of runs is as follows: \begin{itemize} \item Run {\tt nproc=341} (or {\tt 351}) with {\tt part=virt} and {\tt part=real} (or, both at the same time using {\tt part=tota}); \item Run {\tt nproc=342} (or {\tt 352}) with {\tt part=real}. \end{itemize} The sum of these yields the cross-section with one identified heavy quark and one untagged jet in the final state when {\tt inclusive} is set to {\tt .false.} . To calculate the rate for at least one heavy quark and one jet (the remaining jet may be a heavy quark, or untagged), {\tt inclusive} should be {\tt .true.}. Processes {\tt 346,347} and {\tt 356,357} are the lowest order processes that enter the above calculation in the real contribution. They can be computed only at LO. When {\tt removebr} is true, the $Z$ boson does not decay.