F_L proton structure function from the unified DGLAP/BFKL approach

TL;DR

This paper calculates the proton structure function F_L at small x using a unified DGLAP/BFKL approach within the k_T factorization scheme, compares different theoretical methods, and makes predictions for future collider experiments.

Contribution

It introduces a unified resummation approach to compute F_L, bridging DGLAP and BFKL formalisms, and provides detailed comparisons with existing data and future collider predictions.

Findings

Good agreement with HERA data

Differences between factorization schemes analyzed

Predictions provided for LHeC experiment

Abstract

We compute the longitudinal proton structure function F_L from the k_T factorization scheme, using the unified DGLAP/BFKL resummation approach at small x for the unintegrated gluon density. The differences between the k_T factorization, collinear factorization and dipole approaches are analyzed and discussed. The comparisons with the HERA data are made and predictions for the proposed Large Hadron-Electron Collider are also provided.