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 (70)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• Unitarization of the BFKL Pomeron on a Nucleus
• Saturation in Diffractive Deep Inelastic Scattering
• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• An Impact Parameter Dipole Saturation Model
• Exclusive diffractive processes at HERA within the dipole picture
• Geometric scaling for the total gamma^* p cross section in the low x region
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Saturation and BFKL dynamics in the HERA data at small x
• Unitarity and the BFKL Pomeron
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• A Modification of the Saturation Model: DGLAP evolution
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• 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 Color Glass Condensate dipole model and new combined HERA data
• The Longitudinal Structure Function at the Third Order
• Impact parameter dependent colour glass condensate dipole model
• Dipole factorization for DIS at NLO I: Loop correction to the photon to quark-antiquark light-front wave-functions
• NLO corrections for the dipole factorization of DIS structure functions at low x
• 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
• Interaction of small size wave packet with hadron target
• Saturation model of DIS : an update
• Anatomy of the differential gluon structure function of the proton from the experimental data on F_2p
• Evidence for the saturation of the Froissart bound
• Experimental Confirmation that the Proton is Asymptotically a Black Disk
• Geometric scaling and QCD evolution
• Systematics of geometric scaling
• Analytic derivation of the leading-order gluon distribution function G(x,Q^2) = xg(x,Q^2) from the proton structure function F_2^p(x,Q^2)
• Analytic derivation of the next-to-leading order proton structure function $F_2^p(x,Q^2)$ based on the Laplace transformation
• The generalized vector dominance/colour-dipole picture of deep-inelastic scattering at low x
• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• Inclusive diffraction in future electron-proton and electron-ion colliders
• Low-x scaling in ${\gamma }^{\ast }p$ total cross sections
• A new numerical method for obtaining gluon distribution functions $G(x,Q^2)=xg(x,Q^2)$, from the proton structure function $F_2^{\gamma p}(x,Q^2)$
• Analytic treatment of leading-order parton evolution equations: theory and tests
• The Tensor Pomeron and Low-x Deep Inelastic Scattering
• Implications of a Froissart bound saturation of ${\gamma }^{\ast }$-$p$ deep inelastic scattering. Part I. Quark distributions at ultra small $x$
• Extracting the longitudinal structure function FL(x,Q2) at small x from a Froissart-bounded parametrization of F2(x,Q2)
• How to measure the intercept of the BFKL pomeron at HERA
• Analysis of Low-$x$ Gluon Density from the $F_2$ Scaling Violations
• The Color Dipole Picture of low-x DIS: Model-Independent and Model-Dependent Results
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• On the Range of Validity of the Dipole Picture
• Scaling in ${\gamma }^{\ast }p$ total cross sections, saturation and the gluon density
• 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 $x$
• Saturation and geometric scaling in DIS at small x
• Decoupling of the DGLAP evolution equations by Laplace method
• Color Dipole Picture of Deep Inelastic Scattering, Revisited
• The energy dependence of the saturation scale in DIS at low x
• On the longitudinal structure function in the dipole model
• Color Dipole picture at Low-x DIS: The Mass Range of Active Photon Fluctuations
• A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior
• Nuclear modification of forward Drell-Yan production at the LHC
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• A new approach to calculate the gluon polarization
• The total virtual photoabsorption cross section, deeply virtual Compton scattering and vector-meson production
• Longitudinal structure function from the parton parameterization
• A Phenomenological Model of the Glasma and Photon Production
• Ratio of the structure functions and the color dipole model bound
• Hard- Pomeron behavior of the Longitudinal Structure Function $F_L$ in the Next- to- Leading- Order at low $x$
• Evolution of the longitudinal structure function at small x
• Soft diffraction within the QCD color dipole picture
• Ioffe Times in DIS from a Dipole Model Fit

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 $x$