Landau-Pomeranchuk-Migdal effect in sequential bremsstrahlung: Gluon shower development

Abstract

We give details of our study as to whether high-energy gluon showers inside a QCD medium can be treated as a sequence of individual splitting processes g→gg, or whether there is significant quantum overlap between where one splitting ends and the next begins (neglecting effects that can be absorbed into an effective value of the jet-quenching parameter q^ that characterizes the medium). The study is carried out by imagining in-medium gluon-shower development in the simplest theoretical situation, which includes imagining a very large, static, homogeneous medium and taking the large Nc limit. Along the way, we also show how in-medium shower evolution can be written in terms of a "net" splitting rate [dΓ/dx]net, and we provide a moderately simple analytic fit to our numerical results for the overlap effects included in that rate, which we hope may be of use to others wishing to study possible consequences of overlapping splittings.14 MoreReceived 28 February 2023Accepted 21 July 2023DOI:https://doi.org/10.1103/PhysRevD.108.074015Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasFinite temperature field theoryJet quenchingQuantum field theoryQuark-gluon plasmaRelativistic heavy-ion collisionsNuclear PhysicsParticles & Fields

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