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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Main Authors: Garosi, Francesco, Marzocca, David, Trifinopoulos, Sokratis
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2023
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.
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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