Generalised antenna functions for higher-order calculations
Abstract In this paper we discuss the definition, the construction and the implementation of generalised antenna functions for final-state radiation up to Next-to-Next-to-Leading Order (NNLO) in QCD. Generalised antenna functions encapsulate the singular behaviour of unresolved emissions when these...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)225 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841559901384474624 |
|---|---|
| author | Elliot Fox Nigel Glover Matteo Marcoli |
| author_facet | Elliot Fox Nigel Glover Matteo Marcoli |
| author_sort | Elliot Fox |
| collection | DOAJ |
| description | Abstract In this paper we discuss the definition, the construction and the implementation of generalised antenna functions for final-state radiation up to Next-to-Next-to-Leading Order (NNLO) in QCD. Generalised antenna functions encapsulate the singular behaviour of unresolved emissions when these occur within multiple hard radiators and not just two of them, as for traditional antenna functions. The construction of such objects is possible thanks to the recently proposed algorithm for building idealised antenna functions from a target set of infrared limits. Generalised antenna functions bring major simplifications in the assemblage of subtraction terms in the context of the antenna scheme at NNLO and beyond, as well as a substantial computational speedup of higher-order calculations. We discuss in detail the improvements on the formal and practical side for the computation of the NNLO correction to three-jet production at electron-positron colliders, providing a thorough numerical validation of the newly proposed scheme. For this calculation one can expect almost an order of magnitude speedup with respect to the original implementation. |
| format | Article |
| id | doaj-art-a342e326ca81488b933efa66efa4d3b1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a342e326ca81488b933efa66efa4d3b12025-01-05T12:05:43ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241217810.1007/JHEP12(2024)225Generalised antenna functions for higher-order calculationsElliot Fox0Nigel Glover1Matteo Marcoli2Institute for Particle Physics Phenomenology, Department of Physics, Durham UniversityInstitute for Particle Physics Phenomenology, Department of Physics, Durham UniversityInstitute for Particle Physics Phenomenology, Department of Physics, Durham UniversityAbstract In this paper we discuss the definition, the construction and the implementation of generalised antenna functions for final-state radiation up to Next-to-Next-to-Leading Order (NNLO) in QCD. Generalised antenna functions encapsulate the singular behaviour of unresolved emissions when these occur within multiple hard radiators and not just two of them, as for traditional antenna functions. The construction of such objects is possible thanks to the recently proposed algorithm for building idealised antenna functions from a target set of infrared limits. Generalised antenna functions bring major simplifications in the assemblage of subtraction terms in the context of the antenna scheme at NNLO and beyond, as well as a substantial computational speedup of higher-order calculations. We discuss in detail the improvements on the formal and practical side for the computation of the NNLO correction to three-jet production at electron-positron colliders, providing a thorough numerical validation of the newly proposed scheme. For this calculation one can expect almost an order of magnitude speedup with respect to the original implementation.https://doi.org/10.1007/JHEP12(2024)225Higher-Order Perturbative CalculationsAutomation |
| spellingShingle | Elliot Fox Nigel Glover Matteo Marcoli Generalised antenna functions for higher-order calculations Journal of High Energy Physics Higher-Order Perturbative Calculations Automation |
| title | Generalised antenna functions for higher-order calculations |
| title_full | Generalised antenna functions for higher-order calculations |
| title_fullStr | Generalised antenna functions for higher-order calculations |
| title_full_unstemmed | Generalised antenna functions for higher-order calculations |
| title_short | Generalised antenna functions for higher-order calculations |
| title_sort | generalised antenna functions for higher order calculations |
| topic | Higher-Order Perturbative Calculations Automation |
| url | https://doi.org/10.1007/JHEP12(2024)225 |
| work_keys_str_mv | AT elliotfox generalisedantennafunctionsforhigherordercalculations AT nigelglover generalisedantennafunctionsforhigherordercalculations AT matteomarcoli generalisedantennafunctionsforhigherordercalculations |