Analytic Properties of Hard Exclusive Amplitudes

Abstract

Analytic properties of hard exclusive processes described by Generalized Parton Distributions (GPD's) are considered. The analytic continuation of GPD is provided by Generalized Distribution Amplitudes (GDA). The GDA's for the production of two $\rho -$mesons may give an access to four-quark exotic states. The crucial role in the proof of analyticity is played by the Cavalieri conditions (polynomiality), resulting in the "holographic" property of GPD, when the full information about various hard processes is contained in the one dimensional sections ($x=\pm \xi$)of GPD. The applicability of analyticity for description of the double diffractive production of dileptons and Higgs bosons is discussed.

4 pages, contribution to XIth International Conference on Elastic and Diffractive Scattering, Chateau de Blois, France, May 15 - 20, 2005

References in corpus (1)

• Search for isotensor exotic meson and twist 4 contribution to ${\gamma }^{\ast }\gamma \to \rho \rho$

Cited by in corpus (18)

• Deeply virtual Compton scattering at small x_B and the access to the GPD H
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• Neural network generated parametrizations of deeply virtual Compton form factors
• Tomography for amplitudes of hard exclusive processes
• Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
• Deeply Virtual Compton Scattering at a Proposed High-Luminosity Electron-Ion Collider
• Extraction of the Compton Form Factor H from DVCS measurements at Jefferson Lab
• HERMES impact for the access of Compton form factors
• Analyticity and sum rules for photon GPDs
• Dual parameterization and Abel transform tomography for twist-3 DVCS
• The concept of phenomenological light-front wave functions -- Regge improved diquark model predictions
• Accessing GPDs from experiment --- potential of a high-luminosity EIC ---
• DVCS and the skewness effect at small x
• Physics with Positron Beams at Jefferson Lab 12 GeV
• Inverse Radon transform at work
• Covariance constraints for light front wave functions
• Deeply virtual Compton scattering using a positron beam in Hall-C at Jefferson Lab