Structure functions from renormalization group improved small $x$ evolution

Abstract

We perform the fit to the structure function $F_2$ data from HERA including terms due to the resummation at small $x$. The equation for the unintegrated gluon density is solved, previously established within the renormalization group improved small $x$ framework. We find very good description of the structure function $F_2$ and its charm component $F_2^c$. The resulting unintegrated gluon density is found to be consistent with the calculations based on similar approaches available in the literature, with only slightly higher intercept value.