Three-dimensional Statistical Jet Fragmentation

TL;DR

This paper models the momentum distribution of charged hadrons in proton-proton collision jets using a statistical approach based on microcanonical statistics and negative binomial fluctuations, incorporating scale dependence from DGLAP equations.

Contribution

It introduces a novel statistical fragmentation model that reproduces jet hadron momentum distributions and describes their scale dependence with approximate solutions of DGLAP equations.

Findings

Successfully reproduces momentum distributions of charged hadrons in jets

Provides formulas for scale dependence of model parameters

Connects statistical fragmentation with perturbative QCD evolution

Abstract

We reproduce the distribution of the longitudinal and transverse components of momenta of charged hadrons stemming from jets created in proton-proton collisions at s^1/2 = 7 TeV by a statistical fragmentation model. Our hadronization model is based on microcanonical statistics and negative binomial multiplicity fluctuations. We describe the scale dependence of the fit parameters of the model with formulas obtained by approximating the exact solution of the DGLAP equation in the phi^3 theory with leading order splitting function and 1-loop coupling.