A Model Construction of Self-similarity based Double Parton Distribution Functions for proton-proton collision at LHC

TL;DR

This paper develops a self-similarity based model for double parton distribution functions in proton-proton collisions at LHC, capturing correlations and boundary conditions consistent with QCD, with parameters fitted from experimental data.

Contribution

It introduces a novel self-similarity based model for dPDFs that does not factorize into single PDFs and satisfies physical boundary conditions.

Findings

Model contains 13 parameters fitted from LHC data.

dPDFs do not factorize into single PDFs, aligning with QCD.

dPDFs vanish at the boundary where x1 + x2 = 1.

Abstract

We construct a model for double parton distribution functions (dPDFs) based on the notion of self-similarity, pursued earlier for small \textit{x} physics at HERA. The most general form of dPDFs contains total thirteen parameters to be fitted from data of proton-proton collision at LHC. It is shown that the constructed dPDF does not factorize into two single PDFs in conformity with QCD expectation, and it satisfies the condition that at the kinematic boundary $x_{1}+x_{2}=1 $ (where $x_{1}$ and $x_{2}$ are the longitudinal fractional momenta of two partons), the dPDF vanishes.