High Energy Physics - Phenomenology
[Submitted on 29 Mar 2023 (v1), last revised 14 Sep 2023 (this version, v2)]
Title:LePDF: Standard Model PDFs for High-Energy Lepton Colliders
View PDFAbstract: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.
Submission history
From: David Marzocca [view email][v1] Wed, 29 Mar 2023 18:52:31 UTC (835 KB)
[v2] Thu, 14 Sep 2023 13:32:34 UTC (977 KB)
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