Pentagon functions for massless planar scattering amplitudes
Abstract Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of these functions up to two loops in the planar case, whe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)103 |
| _version_ | 1828412980953350144 |
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| author | T. Gehrmann J. M. Henn N. A. Lo Presti |
| author_facet | T. Gehrmann J. M. Henn N. A. Lo Presti |
| author_sort | T. Gehrmann |
| collection | DOAJ |
| description | Abstract Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of these functions up to two loops in the planar case, where we classify and identify the minimal set of basis functions. They are computed from the canonical form of their differential equations and expressed in terms of generalized polylogarithms, or alternatively as one-dimensional integrals. We present analytical expressions and numerical evaluation routines for these pentagon functions, in all kinematical configurations relevant to five-particle scattering processes. |
| first_indexed | 2024-12-10T12:58:58Z |
| format | Article |
| id | doaj.art-10b211345b134666b5e4e8c31d526d86 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T12:58:58Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-10b211345b134666b5e4e8c31d526d862022-12-22T01:48:00ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181013610.1007/JHEP10(2018)103Pentagon functions for massless planar scattering amplitudesT. Gehrmann0J. M. Henn1N. A. Lo Presti2Physik-Institut, Universität ZürichPRISMA Cluster of Excellence, Institute of Physics, Johannes Gutenberg UniversityInstitute for Particle Physics Phenomenology, Durham UniversityAbstract Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of these functions up to two loops in the planar case, where we classify and identify the minimal set of basis functions. They are computed from the canonical form of their differential equations and expressed in terms of generalized polylogarithms, or alternatively as one-dimensional integrals. We present analytical expressions and numerical evaluation routines for these pentagon functions, in all kinematical configurations relevant to five-particle scattering processes.http://link.springer.com/article/10.1007/JHEP10(2018)103Perturbative QCDScattering Amplitudes |
| spellingShingle | T. Gehrmann J. M. Henn N. A. Lo Presti Pentagon functions for massless planar scattering amplitudes Journal of High Energy Physics Perturbative QCD Scattering Amplitudes |
| title | Pentagon functions for massless planar scattering amplitudes |
| title_full | Pentagon functions for massless planar scattering amplitudes |
| title_fullStr | Pentagon functions for massless planar scattering amplitudes |
| title_full_unstemmed | Pentagon functions for massless planar scattering amplitudes |
| title_short | Pentagon functions for massless planar scattering amplitudes |
| title_sort | pentagon functions for massless planar scattering amplitudes |
| topic | Perturbative QCD Scattering Amplitudes |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)103 |
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