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A planar four-loop form factor and cusp anomalous dimension in QCD

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arxiv 1604.03126 v2 pith:7YMKAGJ4 submitted 2016-04-11 hep-ph hep-th

Johannes M. Henn , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser This is my paper · ORCID
classification hep-phhep-th
keywords formfour-loopplanaranomalouscomputecontributioncuspfactor
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute the fermionic contribution to the photon-quark form factor to four-loop order in QCD in the planar limit in analytic form. From the divergent part of the latter the cusp and collinear anomalous dimensions are extracted. Results are also presented for the finite contribution. We briefly describe our method to compute all planar master integrals at four-loop order.

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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. 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.

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  4. Soft corrections to inclusive DIS at four loops and beyond

    hep-ph 2019-08 conditional novelty 6.0 of 10

    The fourth-order (N4LL) soft-gluon exponentiation coefficient for inclusive DIS is derived in the large-nc limit and is shown to give corrections below one percent.

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    Molecular-cloud ionization yields competitive constraints on sub-GeV dark matter annihilation/decay and on asteroid-mass primordial black holes, particularly for PBHs above 10^16 g.

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