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${}^2$.

arXiv commenttypos in Eq. (5.17) corrected

References in corpus (37)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Harmonic Polylogarithms
• Deeply Virtual Compton Scattering
• Unraveling hadron structure with generalized parton distributions
• Scaling Limit of Deeply Virtual Compton Scattering
• FORM version 4.0
• Harmonic sums, Mellin transforms and Integrals
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
• Revisiting parton evolution and the large-x limit
• Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
• Anomalous dimensions of high-spin operators beyond the leading order
• Extension of HPL to complex arguments
• Broken conformal invariance and spectrum of anomalous dimensions in QCD
• A Critical Appraisal and Evaluation of Modern PDFs
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Scale dependence of twist-three contributions to single spin asymmetries
• Predictions from conformal algebra for the deeply virtual Compton scattering
• Evolution kernels of skewed parton distributions: method and two-loop results
• Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
• Restricted conformal invariance in QCD and its predictive power for virtual two-photon processes
• Next-to-leading order evolution of twist-two conformal operators: The abelian case
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• Large spin systematics in CFT
• BLM scale for the pion transition form factor
• Finite-t and target mass corrections to DVCS on a scalar target
• Evolution equations beyond one loop from conformal symmetry
• Two-loop conformal generators for leading-twist operators in QCD
• Deeply virtual Compton scattering beyond next-to-leading order: the flavor singlet case
• Next-to-next-to leading order corrections to deeply virtual Compton scattering: the non-singlet case
• Resumming soft and collinear contributions in deeply virtual Compton scattering
• Conformal symmetry of QCD in $d$-dimensions
• Two-loop evolution equations for flavor-singlet light-ray operators
• Higher twist nucleon distribution amplitudes in Wandzura-Wilczek approximation

Cited by in corpus (11)

• 50 Years of Quantum Chromodynamics
• The deconvolution problem of deeply virtual Compton scattering
• An introductory lecture on Generalised Parton Distributions
• Next-to-leading-power kinematic corrections to DVCS: a scalar target
• Chiral and trace anomalies in Deeply Virtual Compton Scattering II: QCD factorization and beyond
• 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