Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering

Abstract

We revisit the application of the Froissart-Gribov (FG) projections in the analysis of amplitudes for the Deeply Virtual Compton Scattering (DVCS), providing essential information on generalized parton distributions (GPDs). The pivotal role of these projections in a systematic description of a hadron's response to the string-like QCD probes characterised by different values of angular momentum $J$ is emphasised. For the first time, we establish a relationship between the FG projections and GPDs for spin-$\frac{1}{2}$ targets, and we investigate these quantities in various GPD models. Finally, we provide the first numerical estimates for the FG projections based on the DVCS amplitudes directly extracted from experimental data. We argue the method of the FG projections deserves a broad application in the DVCS phenomenology.

24 pages, 6 figures;

References in corpus (18)

• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• The mass radius of the proton
• Dispersion representations for hard exclusive processes
• Dispersion relations and subtractions in hard exclusive processes
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Precision Studies of QCD in the Low Energy Domain of the EIC
• The deconvolution problem of deeply virtual Compton scattering
• Unbiased determination of DVCS Compton Form Factors
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
• Tomography for amplitudes of hard exclusive processes
• Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
• Generalized parton distributions through universal moment parameterization: zero skewness case
• Generalized parton distributions through universal moment parameterization: non-zero skewness case
• Phenomenology of double deeply virtual Compton scattering in the era of new experiments
• Dual parametrization of generalized parton distributions in two equivalent representations
• On the mistake in the implementation of the minimal model of the dual parameterization and resulting inability to describe the high-energy DVCS data
• Transition GPDs and exclusive electroproduction of $\pi -\Delta (1232)$ final states

Cited by in corpus (3)

• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Study of deeply virtual Compton scattering at the future Electron-Ion Collider
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$