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 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.

v2: version accepted by JHEP. Added discussion on parton luminosities and on the muon neutrino PDF. 53 pages, 14 figures

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• Light Axion-Like Particles at Future Lepton Colliders
• Probing Higgs-muon interactions at a multi-TeV muon collider
• Probing the Inert Doublet Model via Vector-Boson Fusion at a Muon Collider
• NNLO electron structure functions (PDFs) from SCET
• Electroweak Scattering at the Muon Shot
• Precision phenomenology at multi-TeV muon colliders
• Higgs boson production at ${\mu }^{+}{\mu }^{+}$ colliders
• Lepton Flavor Violation: From Muon Decays to Muon Colliders
• Barr-Zee Diagrams at a High-Energy Muon Collider
• Monte Carlo Event Generators
• Triple Higgs Production at Muon Colliders in the Higgs Triplet Model
• Probing Higgs and Top Interactions through the Muon Lens at multi-TeV Muon Colliders
• Monte Carlo Event Generators for Future Lepton Colliders