LePDF: Standard Model PDFs for high-energy lepton colliders
Name
13130_2023_Article_21781.pdf
Size
1.45 MB
Format
Adobe PDF
Checksum (MD5)
130899bf921c4f12f61ddaf3224ad7b3
Author(s)
Garosi, Francesco
Marzocca, David
Trifinopoulos, Sokratis
Date Issued
September 18, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 Sep 18;2023(9):107
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2023)107
