Towards a Nonperturbative Foundation of the Dipole Picture: I. Functional Methods

Abstract

This is the first of two papers in which we study real and virtual photon-proton scattering in a nonperturbative framework. We classify different contributions to this process and identify the leading contributions at high energies. We then study the renormalisation of the photon-quark-antiquark vertex that occurs in the leading contributions. We find something like the dipole picture in one of these contributions but also find two correction terms which can potentially become large at small photon virtualities. In the second paper we will discuss the additional approximations and assumptions that are necessary to obtain the dipole model of high energy scattering from the results found here.

arXiv comment38 pages, 14 figures; v2: minor changes, references added, matches journal version

References in corpus (24)

• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• Saturation in Diffractive Deep Inelastic Scattering
• An Impact Parameter Dipole Saturation Model
• Exclusive diffractive processes at HERA within the dipole picture
• Saturation and BFKL dynamics in the HERA data at small x
• Unitarity and the BFKL Pomeron
• A Modification of the Saturation Model: DGLAP evolution
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• Colour dipoles and rho, phi electroproduction
• Extracting the dipole cross-section from photo- and electro-production total cross-section data
• Diffractive parton distributions from the saturation model
• S-Matrix Unitarity, Impact Parameter Profiles, Gluon Saturation and High-Energy Scattering
• Further success of the colour dipole model
• Unitarity and the QCD-improved dipole picture
• Diffraction in Deep Inelastic Scattering
• Gluon Radiation in Diffractive Electroproduction
• Nonperturbative γ^* p Interaction in the Diffractive Regime
• Towards a Nonperturbative Foundation of the Dipole Picture: II. High Energy Limit
• Predicting F2D(3) from the dipole cross-section
• A Comprehensive Approach to Structure Functions
• Deep inelastic Scattering, QCD, and generalised vector dominance
• Heavy flavour production in DGLAP improved saturation model
• Gauge Invariance and Factorisation in Exclusive Meson Production
• A Path Integral Approach to Inclusive Processes

Cited by in corpus (20)

• High Gluon Densities in Heavy Ions Collisions
• The High-Energy Behavior of Photon, Neutrino and Proton Cross Sections
• Towards a Nonperturbative Foundation of the Dipole Picture: II. High Energy Limit
• The Tensor Pomeron and Low-x Deep Inelastic Scattering
• Non-perturbative strong coupling at timelike momenta
• The Color Dipole Picture of low-x DIS: Model-Independent and Model-Dependent Results
• On the Range of Validity of the Dipole Picture
• The Color Dipole Picture and the ratio of R(W, Q) = sigma L/sigma T
• The New F_L Measurement from HERA and the Dipole Model
• On the Energy Dependence of the Dipole-Proton Cross Section in Deep Inelastic Scattering
• Color Dipole Picture of Deep Inelastic Scattering, Revisited
• Asymptotic gluon density within the color dipole picture in the light of HERA high-precision data
• Scale Dependent Pomeron Intercept in Electromagnetic Diffractive Processes
• Comment on "The New F_L Measurement from HERA and the Dipole Model"
• Ioffe Times in DIS from a Dipole Model Fit
• The Status of Parton Saturation and the CGC
• The color dipole picture of low-x DIS
• Wilson-loop formalism for Reggeon exchange in soft high-energy scattering
• The universal function of the diffractive process in color dipole picture
• Universality in the Electroproduction of Vector Mesons