LePDF: Standard Model PDFs for high-energy lepton colliders
Abstract The emission of collinear radiation off an elementary lepton can be factorised from the hard scattering process by introducing Parton Distribution Functions of a Lepton (LePDF), which, contrary to protons, can be derived from first principles. In case of multi-TeV lepton colliders, such as...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)107 |
| _version_ | 1827394607717023744 |
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| author | Francesco Garosi David Marzocca Sokratis Trifinopoulos |
| author_facet | Francesco Garosi David Marzocca Sokratis Trifinopoulos |
| author_sort | Francesco Garosi |
| collection | DOAJ |
| description | Abstract The emission of collinear radiation off an elementary lepton can be factorised from the hard scattering process by introducing Parton Distribution Functions of a Lepton (LePDF), which, contrary to protons, can be derived from first principles. In case of multi-TeV lepton colliders, such as the muon colliders currently being proposed, the complete structure of Standard Model interactions must be taken into account. In this work we solve numerically the corresponding DGLAP equations at the double-log order and provide public files with LePDFs for both muons and electrons, including polarisation effects. We discuss several interesting aspects of the resulting PDFs and compare them with the Effective Vector Approximation, showing that the latter fails to describe well the vector bosons PDFs at small momentum fractions, unless it is extended to higher orders. |
| first_indexed | 2024-03-08T18:16:22Z |
| format | Article |
| id | doaj.art-2a919a480e444a07992013ca7787ce29 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:22Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2a919a480e444a07992013ca7787ce292023-12-31T12:07:50ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023915310.1007/JHEP09(2023)107LePDF: Standard Model PDFs for high-energy lepton collidersFrancesco Garosi0David Marzocca1Sokratis Trifinopoulos2SISSA International School for Advanced StudiesINFN, Sezione di TriesteCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract The emission of collinear radiation off an elementary lepton can be factorised from the hard scattering process by introducing Parton Distribution Functions of a Lepton (LePDF), which, contrary to protons, can be derived from first principles. In case of multi-TeV lepton colliders, such as the muon colliders currently being proposed, the complete structure of Standard Model interactions must be taken into account. In this work we solve numerically the corresponding DGLAP equations at the double-log order and provide public files with LePDFs for both muons and electrons, including polarisation effects. We discuss several interesting aspects of the resulting PDFs and compare them with the Effective Vector Approximation, showing that the latter fails to describe well the vector bosons PDFs at small momentum fractions, unless it is extended to higher orders.https://doi.org/10.1007/JHEP09(2023)107Higher Order Electroweak CalculationsParton DistributionsResummation |
| spellingShingle | Francesco Garosi David Marzocca Sokratis Trifinopoulos LePDF: Standard Model PDFs for high-energy lepton colliders Journal of High Energy Physics Higher Order Electroweak Calculations Parton Distributions Resummation |
| title | LePDF: Standard Model PDFs for high-energy lepton colliders |
| title_full | LePDF: Standard Model PDFs for high-energy lepton colliders |
| title_fullStr | LePDF: Standard Model PDFs for high-energy lepton colliders |
| title_full_unstemmed | LePDF: Standard Model PDFs for high-energy lepton colliders |
| title_short | LePDF: Standard Model PDFs for high-energy lepton colliders |
| title_sort | lepdf standard model pdfs for high energy lepton colliders |
| topic | Higher Order Electroweak Calculations Parton Distributions Resummation |
| url | https://doi.org/10.1007/JHEP09(2023)107 |
| work_keys_str_mv | AT francescogarosi lepdfstandardmodelpdfsforhighenergyleptoncolliders AT davidmarzocca lepdfstandardmodelpdfsforhighenergyleptoncolliders AT sokratistrifinopoulos lepdfstandardmodelpdfsforhighenergyleptoncolliders |