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Title:Collinear divergences and factorization in perturbative QCD
Author(s):Putman, Robert E.
Director of Research:Willenbrock, Scott S.
Doctoral Committee Chair(s):Stack, John D.
Doctoral Committee Member(s):Willenbrock, Scott S.; Fradkin, Eduardo H.; Selen, Mats A.
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Quantum Chromodynamics
Perturbation Theory
Collinear Divergences
Collider Physics
Abstract: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.
Issue Date:2010-05-20
Rights Information:Copyright 2010 Robert Edward Putman
Date Available in IDEALS:2010-05-20
Date Deposited:May 2010

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