Wandzura-Wilczek approximation from generalized rotational invariance

Abstract

We present the alternative way of derivation of the Wandzura-Wilczek relations between the kinematical twist-3 and twist-2 functions, parameterizing hadronic matrix element in two-photon processes ${\gamma }^{\star }\pi \to \gamma \pi$ and ${\gamma }^{\star }\gamma \to \pi \pi$. The new equations, providing the independence of the physical cross-sections on the choice of the light-cone direction, are suggested and explored. The amplitude of ${\gamma }^{\star }\gamma \to \pi \pi$ up to genuine twist-3 accuracy is found.

14 pages, Latex

References in corpus (1)

• Hard Exclusive Production of Tensor Mesons

Cited by in corpus (40)

• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Theory of deeply virtual Compton scattering on the nucleon
• The transverse momentum dependent distribution functions in the bag model
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• QCD factorization of exclusive processes beyond leading twist: gamma*T -> rhoT impact factor with twist three accuracy
• Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
• Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion
• Finite-t and target mass corrections to DVCS on a scalar target
• Lorentz invariance relations between parton distributions and the Wandzura-Wilczek approximation
• Probing axial quark generalized parton distributions through exclusive photoproduction of a $\gamma {\pi }^{\pm }$ pair with a large invariant mass
• On the description of exclusive processes beyond the leading twist approximation
• On $\gamma {\gamma }^{\ast }$ production of two ${\rho }^0$ mesons
• Genuine twist 3 in exclusive electroproduction of transversely polarized vector mesons
• Twist-3 GPDs in Deeply-Virtual Compton Scattering
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Target mass corrections for virtual Compton scattering at twist-2 and generalized, non-forward Wandzura-Wilczek and Callan-Gross relations
• Quark Orbital Angular Momentum in the Wandzura-Wilczek Approximation
• Subleading collinear operators and their matrix elements
• Insights on non-perturbative aspects of TMDs from models
• Singularities in Twist-3 Quark Distributions
• Dual parameterization and Abel transform tomography for twist-3 DVCS
• Kinematical twist-3 effects in DVCS as a quark spin rotation
• On the structure of the virtual Compton amplitude with additional final-state meson in the extended Bjorken region
• On hard electroproduction of mesons: helicity flip amplitudes with tensor gluon contributions
• Higher twist nucleon distribution amplitudes in Wandzura-Wilczek approximation
• Duality between different mechanisms of QCD factorization in γ^*γcollisions
• Lorentz invariance relations and Wandzura-Wilczek approximation
• On exotic hybrid meson production in gamma* gamma collisions
• Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case
• The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
• Understanding the Valence Quark Structure of the Pion through GTMDs
• Group Theoretical Analysis of Light-Cone Dominated Hadronic Processes and Twist Decomposition of Nonlocal Operators in Quantum Chromodynamics
• Chiral-odd pion generalized parton distributions beyond leading twist
• Baryon octet distribution amplitudes in Wandzura-Wilczek approximation
• Double-spin asymmetry $A_{LT}^{\cos {\varphi }_S}$ in semi-inclusive DIS at CLAS12 and EIC within the collinear framework
• Exclusive two ${\rho }^0$-mesons production in $\gamma {\gamma }^{\ast }$ collision
• Duality and Factorization Theorem in QCD
• On higher twist chiral-odd pion generalized parton distributions
• Twist-2 relations for the twist-3 tensor-polarized distribution function $f_{LT}$ of a spin-1 hadron by the operator-product-expansion method