English

On the momentum broadening of in-medium jet evolution using a light-front Hamiltonian approach

High Energy Physics - Phenomenology 2023-07-24 v1 Nuclear Theory

Abstract

We have developed a non-perturbative light-front Hamiltonian formalism to simulate the real-time evolution of a quark state in a SU(3) colored medium, with a series of works. In this proceeding article, we focus on the transverse momentum broadening of an in-medium quark jet. We perform the numerical simulation of the quark jet evolution in the q+qg\ket{q}+\ket{qg} Fock space at various medium densities. By analyzing the resulting jet light-front wavefunction, we extract the gluon emission rate and the non-eikonal quenching parameter. Additionally, we provide the analytical derivation of the eikonal expectation value of the quark-gluon state's transverse momentum for any color configuration and arbitrary spatial distribution. This study can help understand jet momentum broadening beyond the eikonal limit.

Keywords

Cite

@article{arxiv.2307.11251,
  title  = {On the momentum broadening of in-medium jet evolution using a light-front Hamiltonian approach},
  author = {Meijian Li and Tuomas Lappi and Xingbo Zhao and Carlos A. Salgado},
  journal= {arXiv preprint arXiv:2307.11251},
  year   = {2023}
}

Comments

Proceeding of Hard Probes 2023