University of Illinois Urbana-Champaign

Collinear divergences and factorization in perturbative QCD

Putman, Robert E.

Content Files
1_Putman_Robert.pdf

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

Description

Title
Collinear divergences and factorization in perturbative QCD
Author(s)
Putman, Robert E.
Issue Date
2010-05-20T15:16:21Z
Director of Research (if dissertation) or Advisor (if thesis)
Willenbrock, Scott S.
Doctoral Committee Chair(s)
Stack, John D.
Committee Member(s)
  • Willenbrock, Scott S.
  • Fradkin, Eduardo H.
  • Selen, Mats A.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2010-05-20T15:16:21Z
Keyword(s)
  • Factorization
  • 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.
Graduation Semester
2010-5
Permalink
http://hdl.handle.net/2142/16259
Copyright and License Information
Copyright 2010 Robert Edward Putman

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