Reconstruction of the True Distributions

The reconstructed ${x}$ and ${Q^2}$ are biased and spread. Consequently one is forced to correct for this using the Monte Carlo. The method we use here is to calculate a transport matrix which quantifies the migration of events: It gives for all true bins the fraction of the events that end up in a certain bin of the measured distribution.

Figure 7.10 shows the transport matrix for ${Q^2}$. Obviously the inverse of this matrix, applied to the events in reconstructed bins gives the measured true number of events in the ${Q^2}$ bins. Table 7.2 gives the corrected number of events in bins of ${Q^2}$.

Figure 7.11 shows the transport matrix for ${x}$ which has been obtained in the same way as for ${Q^2}$. Table 7.3 gives the corrected number of events in the ${x}$ bins.