{"id":{"repo_id":"durham","oai_identifier":"oai:etheses.durham.ac.uk:118"},"canonical_url":"https://search.dev.ndltd.org/etd/durham/oai:etheses.durham.ac.uk:118","repository":{"repo_id":"durham","name":"Durham University","base_url":"http://etheses.dur.ac.uk/cgi/oai2"},"display":{"title":"Quark and Gluon Form Factors at Three Loops in Perturbative QCD","abstract":"We compute the quark and gluon form factors at up to three-loop order within massless perturbative Quantum Chromodynamics by studying the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons. We use Feynman diagram methods to derive expressions for the form-factors in terms of tensor loop integrals in $D=4-2\\epsilon$ dimensions. We review various methods for relating tensor integrals to a basis set of master integrals and utilize the FIRE package based on Integration-By-Parts to perform the reduction, thereby enabling the form factors to be expressed (in $D$-dimensions) as a sum of master integrals. We assemble the known results for master integrals and use them to provide a Laurent expansion in $\\epsilon$ through to $\\mathcal{O}(\\epsilon^{0})$. The results for the three-loop form factors may provide the building blocks for many third-order cross section calculations.","abstract_html":"We compute the quark and gluon form factors at up to three-loop order within massless perturbative Quantum Chromodynamics by studying the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons. We use Feynman diagram methods to derive expressions for the form-factors in terms of tensor loop integrals in <span class=\"etd-inline-math\">D=4-2&epsilon;</span> dimensions. We review various methods for relating tensor integrals to a basis set of master integrals and utilize the FIRE package based on Integration-By-Parts to perform the reduction, thereby enabling the form factors to be expressed (in $D$-dimensions) as a sum of master integrals. We assemble the known results for master integrals and use them to provide a Laurent expansion in <span class=\"etd-inline-math\">&epsilon;</span> through to <span class=\"etd-inline-math\">\\mathcal{O}(&epsilon;<sup>0</sup>)</span>. The results for the three-loop form factors may provide the building blocks for many third-order cross section calculations.","abstract_has_math":true,"creators":["Ikizlerli, Nehir"],"institution":"Durham University","degree_name":"PhD","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009","date_published":"2009","updated_at":"2026-07-24T02:11:01Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ikizlerli, Nehir"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2009"]},{"key":"dc:date.issued","label":"Date","values":["2009"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Physics, Department of"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["Durham University"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://etheses.durham.ac.uk/id/eprint/118/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://etheses.durham.ac.uk/id/eprint/118/1/ikizlerli.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We compute the quark and gluon form factors at up to three-loop order within massless perturbative Quantum Chromodynamics by studying the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons. We use Feynman diagram methods to derive expressions for the form-factors in terms of tensor loop integrals in $D=4-2\\epsilon$ dimensions. We review various methods for relating tensor integrals to a basis set of master integrals and utilize the FIRE package based on Integration-By-Parts to perform the reduction, thereby enabling the form factors to be expressed (in $D$-dimensions) as a sum of master integrals. We assemble the known results for master integrals and use them to provide a Laurent expansion in $\\epsilon$ through to $\\mathcal{O}(\\epsilon^{0})$. The results for the three-loop form factors may provide the building blocks for many third-order cross section calculations."]},{"key":"dc:format","label":"Dc Format","values":["text"]},{"key":"dc:title","label":"Title","values":["Quark and Gluon Form Factors at Three Loops in Perturbative QCD"]}]}],"canonical_facts":{"dc:creator":["Ikizlerli, Nehir"],"dc:date":["2009"],"dc:date.issued":["2009"],"dc:description.abstract":["We compute the quark and gluon form factors at up to three-loop order within massless perturbative Quantum Chromodynamics by studying the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons. We use Feynman diagram methods to derive expressions for the form-factors in terms of tensor loop integrals in $D=4-2\\epsilon$ dimensions. We review various methods for relating tensor integrals to a basis set of master integrals and utilize the FIRE package based on Integration-By-Parts to perform the reduction, thereby enabling the form factors to be expressed (in $D$-dimensions) as a sum of master integrals. We assemble the known results for master integrals and use them to provide a Laurent expansion in $\\epsilon$ through to $\\mathcal{O}(\\epsilon^{0})$. The results for the three-loop form factors may provide the building blocks for many third-order cross section calculations."],"dc:format":["text"],"dc:identifier.uri":["https://etheses.durham.ac.uk/id/eprint/118/1/ikizlerli.pdf"],"dc:publisher.department":["Physics, Department of"],"dc:publisher.institution":["Durham University"],"dc:relation.isreferencedby":["https://etheses.durham.ac.uk/id/eprint/118/"],"dc:title":["Quark and Gluon Form Factors at Three Loops in Perturbative QCD"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["PhD"]},"updated_at":"2026-07-24T02:11:01Z"}