Two-loop coefficient function for DVCS: Vector contributions

Abstract

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the coefficient function in momentum fraction space is presented in the $\overline{\text{MS}}$ scheme. The corresponding next-to-next-to-leading order correction to the Compton form factor $\mathcal{H}$ for a simple model of the generalized parton distribution appears to be rather large: a factor two smaller than the next-to-leading order correction, approximately $\sim 10$\% of the tree level result in the bulk of the kinematic range, for $Q^2=4$ GeV${}^2$.

typos in Eq. (5.17) corrected

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Cited by in corpus (11)

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• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
• Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme
• Resummation of threshold logarithms in deeply-virtual Compton scattering
• Conformal moments of the two-loop coefficient functions in DVCS
• New framework for extracting GPDs from exclusive photon electroproduction