Generalised double-logarithmic equation in QCD

2014/12/22 by V.N. Velizhanin, Velizhanin, V. N. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1412.7143

openalex publication_date 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present a generalisation of the double-logarithmic equation for the anomalous dimension of the non-singlet unpolarized twist-2 operators in QCD. Using the known three-loop result, this generalisation allows to predict a small x expansion of the four-loop non-singlet splitting functions in QCD for all powers of logarithms up to the single-logarithm term.

Citations

• Four loop anomalous dimension of the third and fourth moments of the non-singlet twist-2 operator in QCD

Cited by

• Anomalous dimensions at small spins

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