Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes

Abstract

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.

60 pages, 6 figures, pdflatex, typos corrected

References in corpus (1)

• Sum rules for higher twist sl(2)operators in N=4 SYM

Cited by in corpus (18)

• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Higher twist parton distributions from light-cone wave functions
• Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
• Electroproduction of the N*(1535) resonance at large momentum transfer
• Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• The Nucleon Distribution Amplitudes and their application to nucleon form factors and the $N\to \Delta$ transition at intermediate values of $Q^2$
• Renormalization of twist-four operators in light-cone gauge
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• $n$-point correlators of twist-$2$ operators in $SU(N)$ Yang-Mills theory to the lowest perturbative order
• Kinematical higher-twist corrections in ${\gamma }^{\ast }\to M_1{M}_2\gamma$: Neutral meson production
• Higher Twists
• Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
• Baryon decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• Perturbative QCD Prediction of the Hyperon EDM from CP-violating Dipole Interactions
• Superfield twist-$2$ operators in $\mathcal{N}=1$ SCFTs and their renormalization-group improved generating functional in $\mathcal{N}=1$ SYM theory
• Light-cone sum rule approach for Baryon form factors
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework