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Two-loop coefficient functions in deeply virtual Compton scattering: flavor-singlet axial-vector and transversity case

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arxiv 2310.05724 v2 pith:6URGDJBR submitted 2023-10-09 hep-ph

classification hep-ph
keywords coefficienttransversityaxial-vectorcomptondeeplyscatteringtwo-loopvirtual
verification ladder T0 review T1 audit T2 compute T3 formal
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We calculate the two-loop flavor-singlet axial-vector and gluon transversity coefficient functions for deeply virtual Compton scattering in QCD. We observe interesting properties regarding the transcendentality of the transversity coefficient function. Our results complete the calculation of the full next-to-next-to-leading order coefficient function in deeply virtual Compton scattering. Numerically, the two-loop corrections in the axial-vector and transversity channel are comparable to their vector counterpart at moderate skewness parameter {\xi} and hence indispensable for analyzing the upcoming high-precision data from the Electron-Ion Collider.

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Cited by 3 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.

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