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.Comment: 58 pages, 16 figures; dedicated to the memory of Eduard A. Kurae