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Quark and Gluon Contents of a Lepton at High Energies

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arxiv 2103.09844 v3 pith:YHETRITE submitted 2021-03-17 hep-ph hep-exhep-th

Tao Han , Yang Ma , Keping Xie This is my paper
classification hep-phhep-exhep-th
keywords gluonpdfsquarkbosonscollisionsenergiesgaugehigh
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In high-energy leptonic collisions, such as at a multi-TeV muon collider, the collinear splittings of the electroweak (EW) gauge bosons and leptons are the dominant phenomena, and the scattering processes should thus be formulated in terms of the EW parton distribution functions (EW PDFs). We complete this formalism in the Standard Model to include the QCD sector and evaluate the quark and gluon PDFs inside a lepton at the double-log accuracy. The splittings of the photon and subsequently the quarks and gluons control the quark/gluon PDFs below the EW scale. The massive gauge bosons lead to substantial contributions at high scales. The jet production cross section can reach the order of a few nb (50 pb) in $e^+e^-$ ($\mu^+\mu^-$) collisions, at the TeV c.m. energies with a moderate acceptance cut, that governs the overall event shape up to about $p_T^j \sim 60$ GeV.

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Cited by 3 Pith papers

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    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...

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