Numerical solutions to Giovannini's parton branching equation up to TeV energies at the LHC

TL;DR

This paper numerically solves Giovannini's parton branching equation using Runge-Kutta, fits a hadronisation model to experimental data up to TeV energies, and predicts gluonic activity at 14 TeV LHC collisions.

Contribution

It introduces a numerical integration of Giovannini's equation and applies a simple hadronisation model to describe high-energy hadronic collisions up to 14 TeV.

Findings

Model fits experimental data up to TeV energies

Gluonic activity increases with collision energy

Predicts outcomes for 14 TeV collisions

Abstract

Giovannini's parton branching equation is integrated numerically using the 4th-order Runge-Kutta method. Using a simple hadronisation model, a charged-hadron multiplicity distribution is obtained. This model is then fitted to various experimental data up to the TeV scale to study how the Giovannini parameters vary with collision energy and type. The model is able to describe hadronic collisions up to the TeV scale and reveals the emergence of gluonic activity as the centre-of-mass energy increases. A prediction is made for $\sqrt{s}$ = 14 TeV.