Reduced cross section and gluon distribution in a momentum-space approach

TL;DR

This paper calculates the reduced cross section and gluon distribution in a momentum-space approach using the BDH parameterization, comparing results with HERA data and extending to LHeC, showing good agreement with experimental and global fit data.

Contribution

It introduces a momentum-space calculation method for the reduced cross section and gluon distribution using Laplace transforms, extending previous models and comparing with experimental data.

Findings

Results agree with H1 data for the reduced cross section.

Gluon distribution functions match NNPDF3.0LO for moderate Q^2.

The ratio F_{L2}(x, Q^2) aligns with experimental bounds.

Abstract

We present a calculation of the reduced cross section in momentum-space approach utilizing the Block-Durand-Ha (BDH) parameterization of the proton structure function $F_{2}(x,Q^2)$ and the leading-order (LO) longitudinal structure function $F_{L}(x,Q^2)$, proposed by Boroun and Ha [G.R. Boroun and P.Ha, Phys. Rev. D {\bf 109} (2024) 094037] using Laplace transform techniques. Our results are compared with the HERA data and extended to the Large Hadron electron Collider (LHeC) domain. We also examine the ratio $F_{L2}(x, Q^2)=F_{L}(x, Q^2)/F_{2}(x, Q^2)$ obtained from our work, comparing it with both the H1 data and the color dipole (CDP) bounds. We find that our results for the reduced cross section and the ratio $F_{L2}(x, Q^2)$ agree with the H1 data. Finally, our evaluation of the gluon distribution functions $G(x,Q^2)$ in momentum-space approach shows very good concordance with the NNPDF3.0LO gluon structure functions for moderate $Q^2$ in the range $10^{-5}{\leq}x{\leq}1$.