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 o...
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Format: | Article |
Language: | English |
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Springer Berlin Heidelberg
2023
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Online Access: | https://hdl.handle.net/1721.1/152381 |
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author | Garosi, Francesco Marzocca, David Trifinopoulos, Sokratis |
author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Garosi, Francesco Marzocca, David Trifinopoulos, Sokratis |
author_sort | Garosi, Francesco |
collection | MIT |
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 | 2024-09-23T16:48:48Z |
format | Article |
id | mit-1721.1/152381 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T16:48:48Z |
publishDate | 2023 |
publisher | Springer Berlin Heidelberg |
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spelling | mit-1721.1/1523812024-02-05T18:28:30Z LePDF: Standard Model PDFs for high-energy lepton colliders Garosi, Francesco Marzocca, David Trifinopoulos, Sokratis Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2023-10-05T20:38:02Z 2023-10-05T20:38:02Z 2023-09-18 2023-09-24T03:14:20Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/152381 Journal of High Energy Physics. 2023 Sep 18;2023(9):107 PUBLISHER_CC en https://doi.org/10.1007/JHEP09(2023)107 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
spellingShingle | Garosi, Francesco Marzocca, David Trifinopoulos, Sokratis LePDF: Standard Model PDFs for high-energy lepton colliders |
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 |
url | https://hdl.handle.net/1721.1/152381 |
work_keys_str_mv | AT garosifrancesco lepdfstandardmodelpdfsforhighenergyleptoncolliders AT marzoccadavid lepdfstandardmodelpdfsforhighenergyleptoncolliders AT trifinopoulossokratis lepdfstandardmodelpdfsforhighenergyleptoncolliders |