Bounds on Ratios of DIS Structure Functions from the Color Dipole Picture

Abstract

We derive bounds on ratios of deep inelastic nucleon structure functions from the color dipole picture of high energy photon-hadron scattering. We find an upper bound on the ratio R=sigma_L/sigma_T of the total cross sections for longitudinally and transversely polarized photons. We further obtain bounds on the ratio of deep inelastic structure functions F_2 taken at the same energy but at different photon virtualities. It is shown that these bounds can be used to constrain the range of applicability of the dipole picture.

arXiv comment10 pages, 4 figures; v2: comments and reference added, journal version

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Cited by in corpus (19)

• Collider Physics at HERA
• 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
• On the Range of Validity of the Dipole Picture
• On the Energy Dependence of the Dipole-Proton Cross Section in Deep Inelastic Scattering
• The New F_L Measurement from HERA and the Dipole Model
• On the longitudinal structure function in the dipole model
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Color dipole cross section and inelastic structure function
• Longitudinal structure function from the parton parameterization
• The color dipole model bounds with the gluon-gluon recombination correction
• Compatibility of phenomenological dipole cross sections with the Balitsky-Kovchegov equation
• Ratio of the structure functions and the color dipole model bound
• Ioffe Times in DIS from a Dipole Model Fit
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Reduced cross section and gluon distribution in a momentum-space approach
• Investigation of High Energy Behaviour of HERA Data
• Investigation of the ratio $\frac{{\sigma }_r}{F_2}(Q^2/s,Q^2)$ in the momentum-space approach