Cyclic Mario worlds — color-decomposition for one-loop QCD
Abstract We present a new color decomposition for QCD amplitudes at one-loop level as a generalization of the Del Duca-Dixon-Maltoni and Johansson-Ochirov decomposition at tree level. Starting from a minimal basis of planar primitive amplitudes we write down a color decomposition that is free of lin...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)141 |
| _version_ | 1818527354457161728 |
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| author | Gregor Kälin |
| author_facet | Gregor Kälin |
| author_sort | Gregor Kälin |
| collection | DOAJ |
| description | Abstract We present a new color decomposition for QCD amplitudes at one-loop level as a generalization of the Del Duca-Dixon-Maltoni and Johansson-Ochirov decomposition at tree level. Starting from a minimal basis of planar primitive amplitudes we write down a color decomposition that is free of linear dependencies among appearing primitive amplitudes or color factors. The conjectured decomposition applies to any number of quark flavors and is independent of the choice of gauge group and matter representation. The results also hold for higher-dimensional or supersymmetric extensions of QCD. We provide expressions for any number of external quark-antiquark pairs and gluons. |
| first_indexed | 2024-12-11T06:35:01Z |
| format | Article |
| id | doaj.art-8aa35bcbecf74b5a8bf58604df19c9b5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T06:35:01Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8aa35bcbecf74b5a8bf58604df19c9b52022-12-22T01:17:24ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018412610.1007/JHEP04(2018)141Cyclic Mario worlds — color-decomposition for one-loop QCDGregor Kälin0Department of Physics and Astronomy, Uppsala UniversityAbstract We present a new color decomposition for QCD amplitudes at one-loop level as a generalization of the Del Duca-Dixon-Maltoni and Johansson-Ochirov decomposition at tree level. Starting from a minimal basis of planar primitive amplitudes we write down a color decomposition that is free of linear dependencies among appearing primitive amplitudes or color factors. The conjectured decomposition applies to any number of quark flavors and is independent of the choice of gauge group and matter representation. The results also hold for higher-dimensional or supersymmetric extensions of QCD. We provide expressions for any number of external quark-antiquark pairs and gluons.http://link.springer.com/article/10.1007/JHEP04(2018)141Perturbative QCDScattering AmplitudesGauge Symmetry |
| spellingShingle | Gregor Kälin Cyclic Mario worlds — color-decomposition for one-loop QCD Journal of High Energy Physics Perturbative QCD Scattering Amplitudes Gauge Symmetry |
| title | Cyclic Mario worlds — color-decomposition for one-loop QCD |
| title_full | Cyclic Mario worlds — color-decomposition for one-loop QCD |
| title_fullStr | Cyclic Mario worlds — color-decomposition for one-loop QCD |
| title_full_unstemmed | Cyclic Mario worlds — color-decomposition for one-loop QCD |
| title_short | Cyclic Mario worlds — color-decomposition for one-loop QCD |
| title_sort | cyclic mario worlds color decomposition for one loop qcd |
| topic | Perturbative QCD Scattering Amplitudes Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)141 |
| work_keys_str_mv | AT gregorkalin cyclicmarioworldscolordecompositionforoneloopqcd |