The "gap between jets" cross-section is a well studied example of a non-globalobservable. The non-global nature of this observable is reflected in the miscancellationof soft virtual and real gluon radiation corrections arising from primary andsecondary "in gap" virtual gluons and throws light on the underlying QuantumChromodynamic (QCD) processes at work. Due to the complexity of the underlyingQCD processes, these effects have been most easily studied in the "large Nc"approximation, as manifest in the Banfi-Marchesini-Smye (BMS) evolution equation.This thesis presents work aimed at calculating the corrections to the Borncross-section for the process of electron-positron annihilation to form a quarkantiquarkpair, keeping the full N = 3 dependence. The corrections arising fromboth primary and secondary real-virtual miscancellations are calculated for zero,one and two gluons outside the gap. It is intended, eventually, to use the results ofthese calculations to provide a measure of the accuracy of the BMS equation.
|Date of Award||31 Dec 2010|
- The University of Manchester
|Supervisor||Jeffrey Forshaw (Supervisor)|