A simple form for the low-x generalized parton distributions in the skewed regime

Abstract

We show that the generalized parton distributions (GPDFs) in the 'skewed' $x\approx \xi <<1$ regime can be related in a particularly simple way to the usual diagonal distributions. This follows directly from the Shuvaev transform, but bypasses a direct evaluation of the poorly convergent double integral which this relation contains, thus allowing for a more transparent understanding of the physics involved; it avoids the necessity for any further low-x approximations for the diagonal partons, as well as permitting a clearer application to cases when the GPDFs unintegrated over the parton transverse momentum are required. We consider for illustration the specific examples of the central exclusive production of a Standard Model Higgs boson, and the photoproduction of a Upsilon meson at the LHC, and show how a careful evaluation of the GPDFs, which our simple results allow, is required to correctly calculate the predicted cross sections.

19 Pages, 8 Figures, version accepted for publication in PRD

References in corpus (9)

• Parton distributions for the LHC
• New parton distributions for collider physics
• Dynamical parton distributions of the nucleon and very small-x physics
• Central Exclusive Particle Production at High Energy Hadron Colliders
• From hard exclusive meson electroproduction to deeply virtual Compton scattering
• Standard candle central exclusive processes at the Tevatron and LHC
• Small x gluon from exclusive J/psi production
• The phenomenology of central exclusive production at hadron colliders
• Some numerical studies of the evolution of generalized parton distributions

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• Multiple interactions and rapidity gap survival
• Review of Central Exclusive Production of the Higgs Boson Beyond the Standard Model
• Selected topics in diffraction with protons and nuclei: past, present, and future
• In-Medium Pion Valence Distributions in a Light-Front Model
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• Testing the double-logarithm asymptotic gluon density in ultraperipheral heavy ion collisions at the Large Hadron Collider
• GRANIITTI: A Monte Carlo Event Generator for High Energy Diffraction