Computation of form factors in massless QCD with finite master integrals
We present the bare one-, two-, and three-loop form factors in massless quantum chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their ε expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite b...
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| Médium: | Journal article |
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American Physical Society
2016
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| _version_ | 1826292975936733184 |
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| author | von Manteuffel, A Panzer, E Schabinger, R |
| author_facet | von Manteuffel, A Panzer, E Schabinger, R |
| author_sort | von Manteuffel, A |
| collection | OXFORD |
| description | We present the bare one-, two-, and three-loop form factors in massless quantum chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their ε expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite basis, only integrals with a less-than-maximal number of propagators contribute to the cusp anomalous dimensions. We report on indications of this phenomenon at four loops, including the result for a finite, irreducible, twelve-propagator form factor integral. Together with this article, we provide our automated software setup for the computation of finite master integrals. |
| first_indexed | 2024-03-07T03:22:58Z |
| format | Journal article |
| id | oxford-uuid:b80de71c-4e6f-4230-aaff-e943c537d68c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:22:58Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b80de71c-4e6f-4230-aaff-e943c537d68c2022-03-27T04:53:21ZComputation of form factors in massless QCD with finite master integralsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b80de71c-4e6f-4230-aaff-e943c537d68cSymplectic Elements at OxfordAmerican Physical Society2016von Manteuffel, APanzer, ESchabinger, RWe present the bare one-, two-, and three-loop form factors in massless quantum chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their ε expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite basis, only integrals with a less-than-maximal number of propagators contribute to the cusp anomalous dimensions. We report on indications of this phenomenon at four loops, including the result for a finite, irreducible, twelve-propagator form factor integral. Together with this article, we provide our automated software setup for the computation of finite master integrals. |
| spellingShingle | von Manteuffel, A Panzer, E Schabinger, R Computation of form factors in massless QCD with finite master integrals |
| title | Computation of form factors in massless QCD with finite master integrals |
| title_full | Computation of form factors in massless QCD with finite master integrals |
| title_fullStr | Computation of form factors in massless QCD with finite master integrals |
| title_full_unstemmed | Computation of form factors in massless QCD with finite master integrals |
| title_short | Computation of form factors in massless QCD with finite master integrals |
| title_sort | computation of form factors in massless qcd with finite master integrals |
| work_keys_str_mv | AT vonmanteuffela computationofformfactorsinmasslessqcdwithfinitemasterintegrals AT panzere computationofformfactorsinmasslessqcdwithfinitemasterintegrals AT schabingerr computationofformfactorsinmasslessqcdwithfinitemasterintegrals |