{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/34786"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/34786","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Collinear singularities and the factorization scale in perturbative QCD","abstract":"We discuss several issues related to collinear singularities and the choice of the factorization scale in perturbative QCD calculations. First, we argue in favor of the use of a bottom-quark distribution function, which sums collinear logarithms, in the calculation of the cross section for Higgs-boson production in association with bottom quarks. As a testing ground for Higgs searches, we propose a measurement of Z-boson production in association with heavy quarks, using an inclusive heavy-quark tagging technique. Next, we present a calculation of the next-to-leading-order QCD corrections to Drell-Yan production of a W boson, regulating the collinear singularities with a nonzero quark mass and the infrared and ultraviolet singularities with dimensional regularization. Finally, we present the collinear factorization scheme, in which only collinear physics is absorbed into the parton distribution functions. We provide a physically motivated method for choosing the factorization scale in this scheme, and show, for the case of Drell-Yan production of an electroweak gauge boson, that the next-to-leading-order QCD corrections are very small for this choice of factorization scale.","abstract_html":"We discuss several issues related to collinear singularities and the choice of the factorization scale in perturbative QCD calculations. First, we argue in favor of the use of a bottom-quark distribution function, which sums collinear logarithms, in the calculation of the cross section for Higgs-boson production in association with bottom quarks. As a testing ground for Higgs searches, we propose a measurement of Z-boson production in association with heavy quarks, using an inclusive heavy-quark tagging technique. Next, we present a calculation of the next-to-leading-order QCD corrections to Drell-Yan production of a W boson, regulating the collinear singularities with a nonzero quark mass and the infrared and ultraviolet singularities with dimensional regularization. Finally, we present the collinear factorization scheme, in which only collinear physics is absorbed into the parton distribution functions. We provide a physically motivated method for choosing the factorization scale in this scheme, and show, for the case of Drell-Yan production of an electroweak gauge boson, that the next-to-leading-order QCD corrections are very small for this choice of factorization scale.","abstract_has_math":false,"creators":["McElmurry, Thomas James"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Willenbrock, Scott S."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-10-23T20:41:21Z","date_published":"2012-10-23T20:41:21Z","updated_at":"2026-07-22T22:25:31Z","subjects":["Heavy Quarks","Z Boson","Higgs","Perturbative QCD"],"languages":["en"],"rights":["©2006 Thomas James McElmurry"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["5641471"],"render_values":[{"text":"5641471","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/34786","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Willenbrock, Scott S."]},{"key":"dc:creator","label":"Author","values":["McElmurry, Thomas James"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-10-23T20:41:21Z","10000-01-01","2006-10"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Heavy Quarks","Z Boson","Higgs","Perturbative QCD"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["©2006 Thomas James McElmurry"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["5641471","http://hdl.handle.net/2142/34786"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We discuss several issues related to collinear singularities and the choice of the factorization scale in perturbative QCD calculations. First, we argue in favor of the use of a bottom-quark distribution function, which sums collinear logarithms, in the calculation of the cross section for Higgs-boson production in association with bottom quarks. As a testing ground for Higgs searches, we propose a measurement of Z-boson production in association with heavy quarks, using an inclusive heavy-quark tagging technique. Next, we present a calculation of the next-to-leading-order QCD corrections to Drell-Yan production of a W boson, regulating the collinear singularities with a nonzero quark mass and the infrared and ultraviolet singularities with dimensional regularization. Finally, we present the collinear factorization scheme, in which only collinear physics is absorbed into the parton distribution functions. We provide a physically motivated method for choosing the factorization scale in this scheme, and show, for the case of Drell-Yan production of an electroweak gauge boson, that the next-to-leading-order QCD corrections are very small for this choice of factorization scale.","Submitted by Meng Tao (mengtao2@illinois.edu) on 2012-10-23T20:41:21Z No. of bitstreams: 1 McElmurry_Thomas.pdf: 558270 bytes, checksum: 56db98f641d312ffbd9ef2bee5a83291 (MD5)","Made available in DSpace on 2012-10-23T20:41:21Z (GMT). No. of bitstreams: 1 McElmurry_Thomas.pdf: 558270 bytes, checksum: 56db98f641d312ffbd9ef2bee5a83291 (MD5) Previous issue date: 2006-10","Restriction data tranferred 2014-07-01T11:11:12-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Post 1923. No authorization form.","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Meng Tao (mengtao2@illinois.edu) on 2012-10-23T20:41:21Z Item is restricted indefinitely.","Post 1923. No authorization form.","U of I Only"]},{"key":"dc:title","label":"Title","values":["Collinear singularities and the factorization scale in perturbative QCD"]}]}],"canonical_facts":{"dc:contributor":["Willenbrock, Scott S."],"dc:creator":["McElmurry, Thomas James"],"dc:date":["2012-10-23T20:41:21Z","10000-01-01","2006-10"],"dc:description":["We discuss several issues related to collinear singularities and the choice of the factorization scale in perturbative QCD calculations. First, we argue in favor of the use of a bottom-quark distribution function, which sums collinear logarithms, in the calculation of the cross section for Higgs-boson production in association with bottom quarks. As a testing ground for Higgs searches, we propose a measurement of Z-boson production in association with heavy quarks, using an inclusive heavy-quark tagging technique. Next, we present a calculation of the next-to-leading-order QCD corrections to Drell-Yan production of a W boson, regulating the collinear singularities with a nonzero quark mass and the infrared and ultraviolet singularities with dimensional regularization. Finally, we present the collinear factorization scheme, in which only collinear physics is absorbed into the parton distribution functions. We provide a physically motivated method for choosing the factorization scale in this scheme, and show, for the case of Drell-Yan production of an electroweak gauge boson, that the next-to-leading-order QCD corrections are very small for this choice of factorization scale.","Submitted by Meng Tao (mengtao2@illinois.edu) on 2012-10-23T20:41:21Z No. of bitstreams: 1 McElmurry_Thomas.pdf: 558270 bytes, checksum: 56db98f641d312ffbd9ef2bee5a83291 (MD5)","Made available in DSpace on 2012-10-23T20:41:21Z (GMT). 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