Reduction of Feynman integrals in the parametric representation
Abstract In this paper, the reduction of Feynman integrals in the parametric representation is considered. This method proves to be more efficient than the integration-by-part (IBP) method in the momentum space. Tensor integrals can directly be parametrized without performing tensor reductions. The...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2020)115 |
| _version_ | 1811204340002586624 |
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| author | Wen Chen |
| author_facet | Wen Chen |
| author_sort | Wen Chen |
| collection | DOAJ |
| description | Abstract In this paper, the reduction of Feynman integrals in the parametric representation is considered. This method proves to be more efficient than the integration-by-part (IBP) method in the momentum space. Tensor integrals can directly be parametrized without performing tensor reductions. The integrands of parametric integrals are functions of Lorentz scalars, instead of four momenta. The complexity of a calculation is determined by the number of propagators that are present rather than the number of all the linearly independent propagators. Furthermore, the symmetries of Feynman integrals under permutations of indices are transparent in the parametric representation. Since all the indices of the propagators are nonnegative, an algorithm to solve those identities can easily be developed, which can be used for automatic calculations. |
| first_indexed | 2024-04-12T03:11:29Z |
| format | Article |
| id | doaj.art-e02e9ad2f51248cdaec8dee2911315cd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T03:11:29Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e02e9ad2f51248cdaec8dee2911315cd2022-12-22T03:50:22ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020211110.1007/JHEP02(2020)115Reduction of Feynman integrals in the parametric representationWen Chen0Department of Physics, University of AlbertaAbstract In this paper, the reduction of Feynman integrals in the parametric representation is considered. This method proves to be more efficient than the integration-by-part (IBP) method in the momentum space. Tensor integrals can directly be parametrized without performing tensor reductions. The integrands of parametric integrals are functions of Lorentz scalars, instead of four momenta. The complexity of a calculation is determined by the number of propagators that are present rather than the number of all the linearly independent propagators. Furthermore, the symmetries of Feynman integrals under permutations of indices are transparent in the parametric representation. Since all the indices of the propagators are nonnegative, an algorithm to solve those identities can easily be developed, which can be used for automatic calculations.http://link.springer.com/article/10.1007/JHEP02(2020)115NLO ComputationsQCD Phenomenology |
| spellingShingle | Wen Chen Reduction of Feynman integrals in the parametric representation Journal of High Energy Physics NLO Computations QCD Phenomenology |
| title | Reduction of Feynman integrals in the parametric representation |
| title_full | Reduction of Feynman integrals in the parametric representation |
| title_fullStr | Reduction of Feynman integrals in the parametric representation |
| title_full_unstemmed | Reduction of Feynman integrals in the parametric representation |
| title_short | Reduction of Feynman integrals in the parametric representation |
| title_sort | reduction of feynman integrals in the parametric representation |
| topic | NLO Computations QCD Phenomenology |
| url | http://link.springer.com/article/10.1007/JHEP02(2020)115 |
| work_keys_str_mv | AT wenchen reductionoffeynmanintegralsintheparametricrepresentation |