Generalized Parton Distributions of the Photon for Nonzero zeta

Abstract

We present a calculation of the generalized parton distributions of the photon when there is non-zero momentum transfer both in the transverse and longitudinal directions. We consider only the contributions when the photon helicity is not flipped and calculate those at leading order in electromagnetic coupling $\alpha$ and zeroth order in the strong coupling ${\alpha }_s$. We keep the leading logarithmic terms as well as the quark mass terms in the vertex. By taking Fourier transforms of the GPDs with respect to the transverse and longitudinal momentum transfer, we obtain the parton distributions of the photon in position space.

15 pages, 5 figures

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• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
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Cited by in corpus (6)

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• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• Generalized Parton Distributions of the Photon with Helicity Flip
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space