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The partonic structure of the electron at the next-to-leading logarithmic accuracy in QED

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arxiv 1911.12040 v3 pith:2MEIUCB4 submitted 2019-11-27 hep-ph

V. Bertone , M. Cacciari , S. Frixione , G. Stagnitto This is my paper · ORCID
classification hep-ph
keywords electronaccuracyalphaanalyticalincludeslogarithmicnext-to-leadingpdfs
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abstract

By working in QED, we obtain the electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron at the next-to-leading logarithmic accuracy. The PDFs account for all of the universal effects of initial-state collinear origin, and are key ingredients in the calculations of cross sections in the so-called structure-function approach. We present both numerical and analytical results, and show that they agree extremely well with each other. The analytical predictions are defined by means of an additive formula that matches a large-$z$ solution that includes all orders in the QED coupling constant $\alpha$, with a small- and intermediate-$z$ solution that includes terms up to ${\cal O}(\alpha^3)$.

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Cited by 4 Pith papers

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

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    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

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  3. An Optimal Transportation Approach for Improved Confidence Intervals

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    Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.

  4. 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...

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