The ratio of the beauty structure functions $R^b = F^b_L/F^b_2$ at low x

TL;DR

This paper investigates the ratio of beauty structure functions at low x, providing a formula to extract these functions from experimental data and analyzing the impact of nonlinear gluon corrections.

Contribution

It introduces a compact formula for the ratio R^b and examines nonlinear effects on beauty structure functions at low x.

Findings

The ratio R^b can be effectively used to extract beauty structure functions from experimental data.

Nonlinear corrections to the gluon distribution moderate the growth of beauty structure functions at low x.

The study offers insights relevant for analyzing data from DESY HERA.

Abstract

We study the structure functions $F_{k}^{b}(x,Q^{2})$ ($k=2, L$) and the reduced cross section $\sigma_{r}^{b}(x,Q^{2})$ for small values of Bjorken$^{,}$s $x$ variable with respect to the hard (Lipatov) pomeron for the gluon distribution and provide a compact formula for the ratio $R^{b}$ that is useful to extract the beauty structure function from the beauty reduced cross section, in particular at DESY HERA. Also we show that the effects of the nonlinear corrections to the gluon distribution tame the behavior of the beauty structure function and the beauty reduced cross section at low $x$.