pith. sign in

arxiv: 1805.09638 · v1 · pith:64EENI4Onew · submitted 2018-05-24 · ✦ hep-ph

On quartic colour factors in splitting functions and the gluon cusp anomalous dimension

S. Moch (Hamburg U. , Inst. Theor. Phys. II) , B. Ruijl (Zurich , ETH) , T. Ueda (Seikei U.) , J.A.M. Vermaseren (NIKHEF , Amsterdam) , A. Vogt (Liverpool U.
show 1 more author
Dept. Math.)
This is my paper
classification ✦ hep-ph
keywords anomalouscuspdimensiongluonapproximatecasimircontributionsfour-loop
0
0 comments X
read the original abstract

We have computed the contributions of the quartic Casimir invariants to the four-loop anomalous dimensions of twist-2 spin-N operators at N =< 16. The results provide new information on the structure of the next-to-next-to-next-to-leading order (N^3LO) splitting functions P_{ik}^(3)(x) for the evolution of parton distributions, and facilitate approximate expressions which include the quartic-Casimir contributions to the (light-like) gluon cusp anomalous dimension. These quantities turn out to be closely related, by a generalization of the lower-order `Casimir scaling', to the corresponding quark results. Using these findings, we present an approximate result for the four-loop gluon cusp anomalous dimension in QCD which is sufficient for phenomenological applications.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 7 Pith papers

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

  1. Event-axis TMD measurements in $e^+e^-$ and SIDIS

    hep-ph 2026-07 unverdicted novelty 7.0

    Completes soft-operator formulation for thrust-axis TMD in e+e- and SIDIS, proposes nonperturbative model with event-shape dependence, resums logs, and validates against Pythia8.3 simulations.

  2. Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

    hep-ph 2026-05 unverdicted novelty 7.0

    Closed-form expression for the ζ(3) term of the four-loop non-singlet twist-two quark anomalous dimension for arbitrary N, extracted via analytic reconstruction from Mellin moments.

  3. Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

    hep-ph 2026-05 unverdicted novelty 7.0

    Presents the zeta(3)-proportional term of the four-loop non-singlet twist-two quark anomalous dimension for general N in closed form, extracted via analytic reconstruction from published Mellin moments.

  4. Properties and implications of the four-loop non-singlet splitting functions in QCD

    hep-ph 2026-05 unverdicted novelty 7.0

    Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new ...

  5. Progress on the soft anomalous dimension in QCD

    hep-ph 2026-04 unverdicted novelty 6.0

    A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.

  6. Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example

    hep-th 2026-04 unverdicted novelty 6.0

    A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.

  7. Phenomenology of genuine twist-three distributions from a global QCD analysis

    hep-ph 2026-07 unverdicted novelty 5.0

    Global QCD analysis extracts genuine twist-three PDFs from g2, d2 and SIDIS asymmetries, confirming their universality and factorization validity.