Momentum Fractions carried by quarks and gluons in models of proton structure functions at small $x$

TL;DR

This paper compares different models of proton structure functions at small x, analyzing how quarks and gluons carry momentum, and evaluates their predictions against QCD and lattice results.

Contribution

It introduces and compares two self-similarity based models of proton structure functions at small x, and benchmarks them against a Froissart bound compatible model and QCD results.

Findings

Both models agree with the Froissart bound model at small x.

Predictions are consistent with perturbative and lattice QCD results.

The models provide insights into the momentum distribution of quarks and gluons.

Abstract

The paper reports analysis of momentum fractions carried by quarks and gluons in models of Proton structure functions at small $x$. First, we analyze the model proposed by Lastovicka based on self-similarity sometime back. We then make a similar analysis for a second model based on the same notion which is also free from singularity in $x$ : $0<x<1$. The predictions of both the models are then compared with a recent QCD based Froissart bound compatible model of proton structure function at small $x$, suggested by Block, Durand, Ha and McKay. The results are then compared with the corresponding study in perturbative and Lattice QCD.