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

2023/10/09 by Yao Ji, Ji, Yao, Jakob Schoenleber +1
Physics and Astronomy · #Collider #Compton scattering #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Loop (graph theory) #Meson #Optics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Pseudovector #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scattering

paper · pdf · doi:10.48550/arxiv.2310.05724

openalex publication_date 2023/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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 ξ and hence indispensable for analyzing the upcoming high-precision data from the Electron-Ion Collider.

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