Low moments of the four-loop splitting functions in QCD

DOI10.1016/j.physletb.2021.136853zbMath1484.81098arXiv2111.15561OpenAlexW4205570567MaRDI QIDQ2071654

Yanyan Li

Publication date: 28 January 2022

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15561

Mathematics Subject Classification ID

Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items

Four-loop splitting functions in QCD -- the quark-quark case, Renormalization of twist-two operators in covariant gauge to three loops in QCD, Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints, The \(N_f C_F^3\) contribution to the non-singlet splitting function at four-loop order, Complete \(N_f^2\) contributions to four-loop pure-singlet splitting functions, A note on quark and gluon energy-momentum tensors, NNLO anomalous dimension matrix for twist-two flavor-singlet operators, Renormalization of gluonic leading-twist operators in covariant gauges, The infrared structure of perturbative gauge theories, The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Cites Work

• FORM version 4.0
• Large-\(n_{f}\) contributions to the four-loop splitting functions in QCD
• The full four-loop cusp anomalous dimension in \(\mathcal{N} = 4\) super Yang-Mills and QCD
• The three-loop splitting functions in QCD: the non-singlet case
• The three-loop splitting functions in QCD: the singlet case
• Four-loop non-singlet splitting functions in the planar limit and beyond
• \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams