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Four-loop quark form factor with quartic fundamental colour factor

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arxiv 1901.02898 v1 pith:QKS5A6C4 submitted 2019-01-09 hep-ph

Roman N. Lee , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser This is my paper · ORCID
classification hep-ph
keywords factorformintegralsmastercolourcomputefour-loopquark
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We analytically compute the four-loop QCD corrections for the colour structure $(d_F^{abcd})^2$ to the massless non-singlet quark form factor. The computation involves non-trivial non-planar integral families which have master integrals in the top sector. We compute the master integrals by introducing a second mass scale and solving differential equations with respect to the ratio of the two scales. We present details of our calculational procedure. Analytical results for the cusp and collinear anomalous dimensions, and the finite part of the form factor are presented. We also provide analytic results for all master integrals expanded up to weight eight.

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Cited by 5 Pith papers

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

  1. Relating amplitude and PDF factorisation through Wilson-line geometries

    hep-ph 2019-09 conditional novelty 8.0 of 10

    The difference between form-factor and large-x PDF single-pole anomalous dimensions equals one quarter of the lightlike parallelogram Wilson-loop anomalous dimension, verified at two loops.

  2. Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib

    hep-ph 2024-11 conditional novelty 7.0 of 10

    State-of-the-art LHC predictions for W/Z transverse momentum spectra at N3LL' and approximate N4LL accuracy, with a rigorous reduction of nonperturbative TMD physics to one effective function per process.

  3. Infrared Singularities of Scattering Amplitudes and N$^3$LL Resummation for $n$-Jet Processes

    hep-ph 2019-08 accept novelty 7.0 of 10

    At four-loop order, the soft anomalous dimension for massless n-particle amplitudes contains d_R^{abcd} color structures multiplied by cusp logarithms, which breaks naive Casimir scaling but preserves a generalized scaling.

  4. Impact of Z-boson transverse-momentum resummation on PDF determination

    hep-ph 2026-07 conditional novelty 6.0 of 10

    N3LL' resummation is required to reconcile the 13 TeV ATLAS Z-pT spectrum with global PDF fits, but lowering the pT cut below 30 GeV is not yet supported.

  5. Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory

    hep-ph 2024-11 accept novelty 6.0 of 10

    Momentum-space SCET threshold resummation for SIA is extended to N4LL for quark and gluon channels, with new large-x coefficients through N3LO and partial N4LO.

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