Calculating the Polarised Cross-Sections

Having calculated both the single W and the two-particle joint SDM elements for the Monte Carlo, it is then possible to calculate the polarised differential cross-sections using equations 3.33 and 3.38 given earlier. The individual W (d $\sigma_{\rm L}/$d $\cos\theta_{\rm W}$, d $\sigma_{\rm T}/$d $\cos\theta_{\rm W}$) and the correlated W-pair (d $\sigma_{\rm TT}/$d $\cos\theta_{\rm W}$, d $\sigma_{\rm LL}/$d $\cos\theta_{\rm W}$, d $\sigma_{\rm TL}/$d $\cos\theta_{\rm W}$) polarised differential cross-sections for the Monte Carlo data are shown in figure 4.4. Overlaid are the analytical predictions for the Standard Model calculated from equation 3.25.