Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
arXiv:2312.09624 · doi:10.1103/PhysRevD.109.054010
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 is emphasised. For the first time, we establish a relationship between the FG projections and GPDs for spin- 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.
arXiv comment24 pages, 6 figures;
References in corpus (53)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Generalized Parton Distributions
- Deeply Virtual Compton Scattering
- Nonforward Parton Distributions
- Unraveling hadron structure with generalized parton distributions
- Hard Exclusive Reactions and the Structure of Hadrons
- Off-Forward Parton Distributions
- Skewed and double distributions in pion and nucleon
- Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
- Hard exclusive electroproduction of two pions and their resonances
- Moments of Nucleon Generalized Parton Distributions in Lattice QCD
- Vector meson electroproduction at small Bjorken-x and generalized parton distributions
- Evolution and models for skewed parton distributions
- Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
- Hadron structure from lattice quantum chromodynamics
- Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
- Measurement of Deeply Virtual Compton Scattering and its t-dependence at HERA
- The mass radius of the proton
- From hard exclusive meson electroproduction to deeply virtual Compton scattering
- Dispersion representations for hard exclusive processes
- Double deeply virtual Compton scattering off the nucleon
- Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes
- The target asymmetry in hard vector-meson electroproduction and parton angular momenta
- 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
- Exclusive electroproduction of lepton pairs as a probe of nucleon structure
- Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
- 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
- Description and interpretation of DVCS measurements
- Border and skewness functions from a leading order fit to DVCS data
- Finite-t and target mass corrections to DVCS on a scalar target
- Generalized Parton Distributions and Their Singularities
- Kinematic power corrections in off-forward hard reactions
- Tomography for amplitudes of hard exclusive processes
- Test of two new parameterizations of the Generalized Parton Distribution
- Dual parametrization of GPDs versus the double distribution Ansatz
- 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
- fixed pole and -term form factor in deeply virtual Compton scattering
- Off-forward parton distributions and Shuvaev's transformations
- 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
- On the extraction of skewed parton distributions from experiment
- Transition GPDs and exclusive electroproduction of final states
- Dual parameterization and Abel transform tomography for twist-3 DVCS
- The dual parametrization for gluon GPDs