Physical limits in the Color Dipole Model Bounds

Abstract

The ratio of the cross sections for the transversely and longitudinally virtual photon polarizations, ${\sigma }_{L/T}^{{\gamma }^{\ast }p}$, at high photon-hadron energy scattering is studied. I investigate the relationship between the gluon distribution obtained using the color dipole model and standard gluons obtained from the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution and the Altarelli-Martinelli equations. It is shown that the color dipole bounds are dependent on the gluon distribution behavior. This behavior is considered by the expansion and Laplace transform methods. Numerical calculations and comparison with the color dipole model (CDM) bounds can indicate the range of validity of this method at small dipole sizes, $r\sim 1/Q\ll 1/Q_s$.

References in corpus (19)

• The Color Glass Condensate
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Quark contribution to the small-$x$ evolution of color dipole
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Impact parameter dependent colour glass condensate dipole model
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Connection of the virtual ${\gamma }^{\ast }p$ cross section of $ep$ deep inelastic scattering to real $\gamma p$ scattering, and the implications for $\nu N$ and $ep$ total cross sections
• Systematics of geometric scaling
• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• Extracting the longitudinal structure function FL(x,Q2) at small x from a Froissart-bounded parametrization of F2(x,Q2)
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• On the Range of Validity of the Dipole Picture
• The Color Dipole Picture and the ratio of R(W, Q) = sigma L/sigma T
• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• Color Dipole Picture of Deep Inelastic Scattering, Revisited
• A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior
• A new approach to calculate the gluon polarization
• A Phenomenological Model of the Glasma and Photon Production
• Soft diffraction within the QCD color dipole picture

Cited by in corpus (5)

• Color dipole cross section in the DGLAP improved saturation model
• 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 the ratio $\frac{{\sigma }_r}{F_2}(Q^2/s,Q^2)$ in the momentum-space approach
• One-to-One correspondence of soft and hard Pomeron with the CDP of the gluon density at low $x$