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The muon parton distribution functions

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arxiv 2309.07516 v2 pith:KQYVYZHM submitted 2023-09-14 hep-ph

Stefano Frixione , Giovanni Stagnitto This is my paper · ORCID
classification hep-ph
keywords distributionfunctionsmuonpartonaccuracyaccurateachieveapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the Parton Distribution Functions (PDFs) of the unpolarised muon for the leptons, the photon, the light quarks, and the gluon. We discuss in detail the issues stemming from the necessity of evaluating the strong coupling constant at scales of the order of the typical hadron mass, and compare our novel approach with those currently available in the literature. While we restrict our phenomenological results to be leading-logarithmic accurate, we set up our formalism in a way that renders it straightforward to achieve next-to-leading logarithmic accuracy in the QED, QCD, and mixed QED$\times$QCD contributions.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New results on small-x resummation for splitting functions

    hep-ph 2026-03 conditional novelty 8.0 of 10

    A closed-form all-order expression for the qg anomalous dimension, plus new all-order results for the LL gluon anomalous dimension and the finite qg/gg Green functions, derived and implemented in HELL 4.0.

  2. Double neutral-current corrections to NLO electroweak leptonic cross sections

    hep-ph 2025-06 conditional novelty 7.0 of 10

    A process-independent NNLO-type correction for vector-boson-fusion topologies is derived and added to NLO predictions, retaining exact W/Z mass dependence and QED resummation.

  3. Precision phenomenology at multi-TeV muon colliders

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Combining QED-resummed lepton PDFs, NLO electroweak corrections, and selected NNLO vector-boson-fusion terms gives percent-level predictions for ttbar and WW production at multi-TeV muon colliders, with caveats in the...

  4. Weak bosons as partons below 10 TeV partonic center-of-momentum

    hep-ph 2025-02 conditional novelty 6.0 of 10

    New next-to-leading-power effective W approximation PDFs for W/Z bosons, plus kinematic consistency conditions that make the parton approximation reliable for scattering energies around 800 GeV and above.

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