Renormalization of twist-four operators in light-cone gauge

Abstract

We compute one-loop renormalization group equations for non-singlet twist-four operators in QCD. The calculation heavily relies on the light-cone gauge formalism in the momentum fraction space that essentially rephrases the analysis of all two-to two and two-to-three transition kernels to purely algebraic manipulations both for non- and quasipartonic operators. This is the first brute force calculation of this sector available in the literature. Fourier transforming our findings to the coordinate space, we checked them against available results obtained within a conformal symmetry-based formalism that bypasses explicit diagrammatic calculations and confirmed agreement with the latter.

arXiv comment58 pages, 16 figures; dedicated to the memory of Eduard A. Kuraev

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Cited by in corpus (12)

• CT14 Intrinsic Charm Parton Distribution Functions from CTEQ-TEA Global Analysis
• Higher-twist B-meson Distribution Amplitudes in HQET
• Double hard scattering without double counting
• Spinning Gluons from the QCD Light-Ray OPE
• Transverse momentum dependent operator expansion at next-to-leading power
• QCD factorization for twist-three axial-vector parton quasidistributions
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Integrability in heavy quark effective theory
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• QCD factorization for chiral-odd parton quasi- and pseudo-distributions
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• Parton Interpretation and Twist-4 Parton Distributions