On the structure of the virtual Compton amplitude with additional final-state meson in the extended Bjorken region

Abstract

Using the framework of the non-local light-cone expansion a systematic study is performed for the structure of the twist-2 contributions to the virtual Compton amplitude in polarized deep-inelastic non-forward scattering for general nucleon spin with an additional scalar meson in the final state. A useful kinematic parameterization allowing for appropriate triple-valued off-forward parton distribution amplitudes is given. One-variable amplitudes being adapted to the fixed parameters of the extended Bjorken region are introduced by decomposing the Compton amplitude into collinear and non-collinear components. These amplitudes obey Wandzura-Wilczek and Callan-Gross like relations. The evolution equations for all the distribution amplitudes are determined showing that the additional meson momentum does not appear in the evolution kernels. The generalization to $n$ outgoing mesons is given.

25 pages, 1 figure, Revtex4, some remarks and comments added, corrected typos

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• Hard Exclusive Reactions and the Structure of Hadrons
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• Measurement of Deeply Virtual Compton Scattering at HERA
• Wandzura-Wilczek approximation from generalized rotational invariance
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Cited by in corpus (12)

• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Impact Representation of Generalized Distribution Amplitudes
• Target mass corrections for virtual Compton scattering at twist-2 and generalized, non-forward Wandzura-Wilczek and Callan-Gross relations
• Target mass and finite $t$ corrections to diffractive deeply inelastic scattering
• Target mass and finite momentum transfer corrections to unpolarized and polarized diffractive scatterin
• Polarized Deep Inelastic Diffractive ep Scattering: Operator Approach
• Leading Twist Amplitudes for Exclusive Neutrino Interactions in the Deeply Virtual Limit
• Deeply Virtual Neutrino Scattering (DVNS)
• The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
• Twist cut-off for scalar off-cone operators in q-space
• Soft Pion Emission in Hard Exclusive Pion Production