This thesis introduces a novel technique for resummation of a wide class of observables to next-to-next-to-leading-logarithmic accuracy in e+e− annihilation, and potentially beyond. The method is applicable to observables that exhibit recursive infrared and collinear (rIRC) safety and continuous globalness. A systematic analysis of logarithmic counting in emission phase space reveals the contributions necessary to achieve NNLL-accurate results. A detailed description of the derivation and subsequent calculation of these effects is given. A framework of computer code (called ARES) has been developed to carry out automated numerical implementation of each of the NNLL contributions. ARES (Automated Resummer of Event Shapes) provides the user with an efficient determination of the resummed result for a desired observable. New results for several observables are presented, including the first NNLL resummation of the two-jet rate in the Durham and Cambridge algorithms which is crucial for determination of the strong coupling of Quantum Chromodynamics (QCD). This work as a whole presents an important addition to phenomenological precision calculations. Validation of the obtained predictions is performed, using both matching to NNLO fixed order calculations and comparison to data from the Large Electron-Positron collider at CERN.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:731214 |
| Date | January 2017 |
| Creators | McAslan, Heather Turmeau |
| Publisher | University of Sussex |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://sro.sussex.ac.uk/id/eprint/71197/ |
Page generated in 0.0016 seconds