Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator
Abstract In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N3LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal for H+jet production by computing the one- and two-loo...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)016 |
| _version_ | 1797769686700523520 |
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| author | Thomas Gehrmann Petr Jakubčík Cesare Carlo Mella Nikolaos Syrrakos Lorenzo Tancredi |
| author_facet | Thomas Gehrmann Petr Jakubčík Cesare Carlo Mella Nikolaos Syrrakos Lorenzo Tancredi |
| author_sort | Thomas Gehrmann |
| collection | DOAJ |
| description | Abstract In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N3LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal for H+jet production by computing the one- and two-loop helicity amplitudes for the two contributing processes, H → ggg, H → q q ¯ g $$ H\to q\overline{q}g $$ , in an effective theory with infinite top quark mass, to higher orders in the dimensional regulator. We decompose the amplitude in scalar form factors related to the helicity amplitudes and in a new basis of tensorial structures. The form factors receive contributions from Feynman integrals which were reduced to a novel canonical basis of master integrals. We derive and solve a set of differential equations for these integrals in terms of Multiple Polylogarithms (MPLs) of two variables up to transcendental weight six. |
| first_indexed | 2024-03-12T21:12:37Z |
| format | Article |
| id | doaj.art-192d55ae3071423ea8e9b9d1e0310b55 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:37Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-192d55ae3071423ea8e9b9d1e0310b552023-07-30T11:04:01ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413210.1007/JHEP04(2023)016Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulatorThomas Gehrmann0Petr Jakubčík1Cesare Carlo Mella2Nikolaos Syrrakos3Lorenzo Tancredi4Physik-Institut, Universität ZurichPhysik-Institut, Universität ZurichPhysik Department, Technische Universität MünchenPhysik Department, Technische Universität MünchenPhysik Department, Technische Universität MünchenAbstract In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N3LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal for H+jet production by computing the one- and two-loop helicity amplitudes for the two contributing processes, H → ggg, H → q q ¯ g $$ H\to q\overline{q}g $$ , in an effective theory with infinite top quark mass, to higher orders in the dimensional regulator. We decompose the amplitude in scalar form factors related to the helicity amplitudes and in a new basis of tensorial structures. The form factors receive contributions from Feynman integrals which were reduced to a novel canonical basis of master integrals. We derive and solve a set of differential equations for these integrals in terms of Multiple Polylogarithms (MPLs) of two variables up to transcendental weight six.https://doi.org/10.1007/JHEP04(2023)016Higher-Order Perturbative CalculationsScattering AmplitudesSpecific QCD Phenomenology |
| spellingShingle | Thomas Gehrmann Petr Jakubčík Cesare Carlo Mella Nikolaos Syrrakos Lorenzo Tancredi Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator Journal of High Energy Physics Higher-Order Perturbative Calculations Scattering Amplitudes Specific QCD Phenomenology |
| title | Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator |
| title_full | Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator |
| title_fullStr | Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator |
| title_full_unstemmed | Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator |
| title_short | Two-loop helicity amplitudes for H+jet production to higher orders in the dimensional regulator |
| title_sort | two loop helicity amplitudes for h jet production to higher orders in the dimensional regulator |
| topic | Higher-Order Perturbative Calculations Scattering Amplitudes Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP04(2023)016 |
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