Collinear divergences and factorization in perturbative QCD

The issue of choosing a factorization scale in perturbative QCD is examined in detail. First a previously defined factorization scheme called the collinear scheme is implemented on Higgs production by bottom quark fusion, and then extended to Higgs production by gluon fusion. After this the issue of gauge invariance in this collinear scheme is addressed and it is realized that the collinear scheme fails to be gauge invariant. A more general analysis of collinear divergences and the phase space integrated over to calculate cross sections is performed and a new scheme called the generalized collinear scheme is presented for factorization of radiated gluons. Virtual corrections are considered and a possible method of dealing with them is suggested. This generalized collinear scheme is then tested on three 2 → 1 processes with encouraging results.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2010

Author dc:creator

• Putman, Robert E.

Contributors dc:contributor

• Willenbrock, Scott S.
• Stack, John D.
• Fradkin, Eduardo H.
• Selen, Mats A.

• Factorization
• Quantum Chromodynamics
• Perturbation Theory
• Collinear Divergences
• Collider Physics

Statement dc:rights

• Copyright 2010 Robert Edward Putman

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/16259

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/16259