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arXiv · 2109.10373

Higher-Order Kinematical Effects in Deeply Virtual Compton Scattering

Yuxun Guo·Xiangdong Ji·Kyle Shiells
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Abstract

We study the deeply virtual Compton scattering cross-section in twist-two generalized parton distribution (GPD) approximation, and show that different choices of light-cone vectors and gauges for the final photon polarization will lead to different higher-order kinematical corrections to the cross-section formula. The choice of light-cone vectors affects kinematic corrections at the twist-three level, accounting for the differences between the cross-section formulas in the literature. On the other hand, kinematical corrections from higher-twist GPDs should eliminate the light-cone dependence at twist three. Those light-cone dependencies are studied systematically at JLab 12 GeV and future EIC kinematics. They serve as the intrinsic systematic uncertainties in extracting the Compton form factors through the cross-section formula. More importantly, they are also necessary for understanding cross-section measurements with higher-twist precision and to reconstruct higher-order Compton form factors.

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Yuxun Guo, Xiangdong Ji, Kyle Shiells. 2021-09-21. Higher-Order Kinematical Effects in Deeply Virtual Compton Scattering. https://doi.org/10.1007/jhep12(2021)103

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