The single W SDM elements are normalised to the total number of events in each bin of . This means that single W SDM elements are effectively independent of the shape of the distribution. The W production angle is sensitive to the TGCs. This means that there is an observable that has been measured, is completely uncorrelated to the single W SDM elements, and as yet has not been used in the TGC fit.
The W production angle, , can be binned into eight bins like the single W SDM elements and normalised to the total number of events. Then a fit can be performed in a similar way as for the SDM elements. The reweighted Monte Carlo method can be used to calculate the theoretical distributions in the minimisation. The form of the would be as in equation 6.10, where is the total number of events and is the error on the number of events measured in bin of . The error is simply the square-root of the number of events in the bin.