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Two-loop coefficient function for DVCS: Vector contributions

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arxiv 2007.06348 v2 pith:TVQAUT4P submitted 2020-07-13 hep-ph

V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber This is my paper · ORCID
classification hep-ph
keywords coefficientfunctioncomptoncorrectiondvcsfactorordertwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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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$^2$.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kinematic power corrections to DVCS to twist-six accuracy

    hep-ph 2025-01 accept novelty 8.0 of 10

    Complete kinematic power corrections up to twist-6 are derived for nucleon DVCS, and the series converges best when organized in powers of 1/(Q²+t).

  2. The two-loop coefficient functions for double deeply virtual Compton scattering

    hep-ph 2024-11 conditional novelty 7.0 of 10

    The paper derives the two-loop coefficient functions for the operator product expansion of two electromagnetic currents in general kinematics, the central ingredient for next-to-next-to-leading-order DDVCS predictions.

  3. Assessing the impact of the electron ion collider in China on Deeply Virtual Compton Scattering

    hep-ph 2025-12 conditional novelty 5.0 of 10

    Projected EicC DVCS asymmetry data would substantially reduce uncertainties on all leading-order Compton form factors, most strongly in the sea-quark region.

  4. Three-dimensional imaging of hadrons with hard exclusive reactions: advances in experiment, theory, phenomenology, and lattice QCD

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    A community white paper reviewing GPD-based 3D imaging of hadrons — experiment, theory, phenomenology, lattice QCD — and the roadmap toward precision tomography at JLab, COMPASS, J-PARC, and future electron-ion colliders.

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