Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-06-16
Nucl.Phys.B807:89-137,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
60 pages, 6 figures, pdflatex, typos corrected
Scientific paper
10.1016/j.nuclphysb.2008.08.012
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.
Braun Vladimir M.
Manashov Alexander N.
Rohrwild Jürgen
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