2008/06/30 by V. M. Braun, A. N. Manashov, J. Rohrwild · 4 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Crossing #Geometry #Helicity #Light cone #Mathematical physics #Mathematics #Nucleon #Operator (biology) #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scattering amplitude #Spin (aerodynamics) #Twist #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2008.08.012
published as Nucl.Phys.B807:89-137,2009 · 60 pages, 6 figures, pdflatex, typos corrected
openalex publication_date 2008/08/15 · arxiv created 2009/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a general theoretical framework for the description of higher-twist baryon operators which makes maximal use of the conformal symmetry of the QCD Lagrangian. The conformal operator basis is constructed for all twists. The complete analysis of the one-loop renormalization of twist-4 operators is given. The evolution equation for three-quark operators of the same chirality turns out to be completely integrable. The spectrum of anomalous dimensions coincides in this case with the energy spectrum of the twist-4 subsector of the SU(2,2) Heisenberg spin chain. The results are applied to give a general classification and calculate the scale dependence of subleading twist-4 nucleon distribution amplitudes that are relevant for hard exclusive reactions involving a helicity flip. In particular we find an all-order expression (in conformal spin) for the contributions of geometric twist-3 operators to the (light-cone) twist-4 nucleon distribution amplitudes, which are usually referred to as Wandzura-Wilczek terms.