2026-09-19T18:40:45Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/16259 2023-07-10 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

Willenbrock, Scott S. Stack, John D. Willenbrock, Scott S. Fradkin, Eduardo H. Selen, Mats A. Putman, Robert E. 2010-05-20T15:16:21Z 2010-05-20T15:16:21Z 2010-05-20T15:16:21Z 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-04-14T20:01:51Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Putman_Robert.pdf: 687368 bytes, checksum: 2e5593c9ee2e3ab467761db7897ee84e (MD5) Made available in DSpace on 2010-05-20T15:16:21Z (GMT). No. of bitstreams: 3 Putman_Robert.pdf: 687368 bytes, checksum: 2e5593c9ee2e3ab467761db7897ee84e (MD5) 1_Putman_Robert.pdf: 686677 bytes, checksum: 60980b988f408c7dc545ee2d6bb09dde (MD5) license.txt: 4063 bytes, checksum: 89f4b0700cc5c6bb3ba68be8562ca678 (MD5) http://hdl.handle.net/2142/16259 en Copyright 2010 Robert Edward Putman Factorization Quantum Chromodynamics Perturbation Theory Collinear Divergences Collider Physics Collinear divergences and factorization in perturbative QCD 2010-5 Physics 1244 Physics 0240 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Physics -UIUC 10KS0240PHD