Analytic four-loop anomalous dimensions in massless QCD from form factors
We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimensions. Our approach is to Laurent expand four-loop quark and gluo...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2020
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| _version_ | 1797066637933805568 |
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| author | von Manteuffel, A Panzer, E Schabinger, RM |
| author_facet | von Manteuffel, A Panzer, E Schabinger, RM |
| author_sort | von Manteuffel, A |
| collection | OXFORD |
| description | We calculate the complete quark and gluon cusp anomalous dimensions in
four-loop massless QCD analytically from first principles. In addition, we
determine the complete matter dependence of the quark and gluon collinear
anomalous dimensions. Our approach is to Laurent expand four-loop quark and
gluon form factors in the parameter of dimensional regularization. We employ
finite field and syzygy techniques to reduce the relevant Feynman integrals to
a basis of finite integrals, and subsequently evaluate the basis integrals
directly from their standard parametric representations. |
| first_indexed | 2024-03-06T21:44:52Z |
| format | Journal article |
| id | oxford-uuid:49376c96-0d32-4832-9c01-b023b0da92e4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:44:52Z |
| publishDate | 2020 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:49376c96-0d32-4832-9c01-b023b0da92e42022-03-26T15:30:21ZAnalytic four-loop anomalous dimensions in massless QCD from form factorsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:49376c96-0d32-4832-9c01-b023b0da92e4EnglishSymplectic ElementsAmerican Physical Society2020von Manteuffel, APanzer, ESchabinger, RMWe calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimensions. Our approach is to Laurent expand four-loop quark and gluon form factors in the parameter of dimensional regularization. We employ finite field and syzygy techniques to reduce the relevant Feynman integrals to a basis of finite integrals, and subsequently evaluate the basis integrals directly from their standard parametric representations. |
| spellingShingle | von Manteuffel, A Panzer, E Schabinger, RM Analytic four-loop anomalous dimensions in massless QCD from form factors |
| title | Analytic four-loop anomalous dimensions in massless QCD from form factors |
| title_full | Analytic four-loop anomalous dimensions in massless QCD from form factors |
| title_fullStr | Analytic four-loop anomalous dimensions in massless QCD from form factors |
| title_full_unstemmed | Analytic four-loop anomalous dimensions in massless QCD from form factors |
| title_short | Analytic four-loop anomalous dimensions in massless QCD from form factors |
| title_sort | analytic four loop anomalous dimensions in massless qcd from form factors |
| work_keys_str_mv | AT vonmanteuffela analyticfourloopanomalousdimensionsinmasslessqcdfromformfactors AT panzere analyticfourloopanomalousdimensionsinmasslessqcdfromformfactors AT schabingerrm analyticfourloopanomalousdimensionsinmasslessqcdfromformfactors |