Conformal moments of the two-loop DVCS coefficient functions have been computed with a new technique.
Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Combining dispersion and operator product expansion techniques, we derive the conformal partial wave decomposition of the virtual Compton scattering amplitude in terms of complex conformal spin to twist-two accuracy. The perturbation theory predictions for the deeply virtual Compton scattering (DVCS) amplitude are presented in next-to-leading order for both conformal and modified minimal subtraction scheme. Within a conformal subtraction scheme, where we exploit predictive power of conformal symmetry, the radiative corrections are presented up to next-to-next-to-leading order accuracy. Here, because of the trace anomaly, the mixing of conformal moments of generalized parton distributions (GPD) at the three-loop level remains unknown. Within a new proposed parameterization for GPDs, we then study the convergence of perturbation theory and demonstrate that our formalism is suitable for a fitting procedure of DVCS observables.
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representative citing papers
Fixed-j holographic DDVCS and DVCS structurally match the singlet conformal-OPE Wilson-kernel family of QCD via open- and closed-string Witten vertices.
A vacuum-normalized holographic photon profile in a fixed-j Witten diagram reproduces the QCD conformal hard kernel for DVCS/DDVCS, with the Mellin exponent fixed by z-power counting.
A neural network framework informed by lattice QCD uses all-order dispersion relations to significantly constrain both real and imaginary parts of Compton Form Factors extracted from DVCS proton data.
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
Quantum-inspired deep neural networks extract Compton form factors from JLab data with higher predictive accuracy and tighter uncertainties than classical DNNs on pseudodata benchmarks, then applied to real measurements.
citing papers explorer
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Holographic Open/Closed Exchange in Double Deeply Virtual Compton Scattering: Fixed-$j$ Structural Matching to the $\pm$-Basis Wilson Kernels
Fixed-j holographic DDVCS and DVCS structurally match the singlet conformal-OPE Wilson-kernel family of QCD via open- and closed-string Witten vertices.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.