LePDF: Standard Model PDFs for high-energy lepton colliders

Francesco Garosi (SISSA International School for Advanced Studies, Via Bonomea 265, Trieste, 34136, Italy; INFN, Sezione di Trieste, SISSA, Via Bonomea 265, Trieste, 34136, Italy) ; David Marzocca (INFN, Sezione di Trieste, SISSA, Via Bonomea 265, Trieste, 34136, Italy) ; Sokratis Trifinopoulos (Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA)

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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Published on:
18 September 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 9
Pages 1-53
DOI:
https://doi.org/10.1007/JHEP09(2023)107
arXiv:
2303.16964
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: