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 smallx upto next-to-next-to-leading order using a hard pomeron behaviour. 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, kT factorization and H1 data.

Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$

“…, reduces to x as χ→x. Recently several methods for the determination of the heavy quark longitudinal structure function in the nucleon have been proposed [34][35][36][37][38][39][40][41][42][43][44][45]. Recently, the ratio of structure functions in the heavy quark production processes, obtained using the the transverse momentum dependent gluon distribution function, can be found in [46].…”