Ratio of the structure functions and the color dipole model bound

Abstract

We observe that the DGLAP evolution equations at NNLO analysis predicts a ratio of the structure functions in region of small Bjorken variable $x$. The ratio $F_L(x,Q^2)/F_2(x,Q^2)$ is obtained and compared with the prediction of the dipole model and HERA data. In particular we show that this ratio is lower than dipole model bound at high-$Q^2$ values and it is higher at low-$Q^2$ values . Then the effect of adding a higher twist term to the description of the ratio $F_L(x,Q^2)/F_2(x,Q^2)$ for $Q^2<20Ge{V}^2$ is investigated. Also the bounds are discussed by including charm distribution on $F_L/F_2$. We discuss, furthermore, how this ratio can be determine the proton structure function with respect to the reduced cross section at high-$y$ values.

11 pages, 7 figures

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Cited by in corpus (9)

• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• The color dipole model bounds with the gluon-gluon recombination correction
• The exponent of the longitudinal structure function $F_L$ at low $x$
• Color dipole cross section in the DGLAP improved saturation model
• Physical limits in the Color Dipole Model Bounds
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• 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