$B$ is the full Born contribution, given by the square of the sum of the graphs in fig. \[fig:WWfeynman\]. However, $B_1$ will be dominated by the square of the first graph, and $B_2$ by the second.

The number of real graphs is already quite large, and we do not show the corresponding figures. They are obtained by adding one final state gluon to the Born flavour configuration, and by replacing one of the initial lines with a gluon, adding a corresponding quark of opposite flavour to the final state. Here we focus upon the bare flavour configuration $u \bar{u}
\rightarrow u \bar{d} \bar{u} d g$. The corresponding full flavour configuration trees are depicted in fig. \[fig:WWrealtrees\].

![Trees for $u \bar{u} \rightarrow u \bar{d} \bar{u} d g$.\[fig:WWrealtrees\]](WW-trees-real)

We will now label the gluon as $7$, and keep the same labels used in the Born case for all other particles. The $P$ factors are now $$\begin{aligned}
  P^1_r & = & \frac{M_W^4}{(s_{34} - M_W^2)^2 + \Gamma_W^2 M_W^2} \times
  \frac{M_W^4}{(s_{56} - M_W^2)^2 + \Gamma_W^2 M_W^2}\,,\\
  P^2_r & = & \frac{M_W^4}{(s_{347} - M_W^2)^2 + \Gamma_W^2 M_W^2} \times
  \frac{M_W^4}{(s_{56} - M_W^2)^2 + \Gamma_W^2 M_W^2}\,,\\
  P^3_r & = & \frac{M_W^4}{(s_{34} - M_W^2)^2 + \Gamma_W^2 M_W^2} \times
  \frac{M_W^4}{(s_{567} 