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

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 Giovan...

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Published in:arXiv.org 2020-08
Main Authors: Ong, Z, Agarwal, P, Ang, H W, Chan, A H, Oh, C H
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Language:English
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Mathematical models
Partons
Runge-Kutta method
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Agarwal, P
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Chan, A H
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description 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.
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Partons
Runge-Kutta method
title Numerical solutions to Giovannini's parton branching equation up to TeV energies at the LHC
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