Collinear divergences and factorization in perturbative QCD

Putman, Robert E.

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

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

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

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

Copyright and License Information

Copyright 2010 Robert Edward Putman

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