A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior

Abstract

In this paper, the evolutions of longitudinal proton structure function have been obtained at small-$x$ up to next-to-next-to-leading order using a hard Pomeron behavior. In our paper, evolutions of gluonic as well as heavy longitudinal structure functions have been obtained separately and the total contributions have been calculated. The total longitudinal structure functions have been compared with results of Donnachie-Landshoff (DL) model, Color Dipole (CD) model, $k_T$ factorization and H1 data.

10 pages, 5 figures, 1 table

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Cited by in corpus (9)

• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• Longitudinal structure function from the parton parameterization
• Higher order approximations to the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation
• Nuclear longitudinal structure function in eA processes at the LHeC
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• The exponent of the longitudinal structure function $F_L$ at low $x$
• Physical limits in the Color Dipole Model Bounds
• A determination of the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation
• Longitudinal Structure Function at the Limit $x=Q^2/s$