{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/16259"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/16259","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Collinear divergences and factorization in perturbative QCD","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Putman, Robert E."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Willenbrock, Scott S.","Stack, John D.","Fradkin, Eduardo H.","Selen, Mats A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-05-20T15:16:21Z","date_published":"2010-05-20T15:16:21Z","updated_at":"2026-07-22T22:25:08Z","subjects":["Factorization","Quantum Chromodynamics","Perturbation Theory","Collinear Divergences","Collider Physics"],"languages":["en"],"rights":["Copyright 2010 Robert Edward Putman"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/16259","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Willenbrock, Scott S.","Stack, John D.","Fradkin, Eduardo H.","Selen, Mats A."]},{"key":"dc:creator","label":"Author","values":["Putman, Robert E."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2010-05-20T15:16:21Z","2010-5"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Factorization","Quantum Chromodynamics","Perturbation Theory","Collinear Divergences","Collider Physics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 Robert Edward Putman"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/16259"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The issue of choosing a factorization scale in perturbative QCD is examined in detail. 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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). 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