Abstract

Using a recently-developed perturbative-QCD approach for jet evolution in a dense quark-gluon plasma, we study the nuclear modification factor for the jet fragmentation function. The qualitative behaviour that we find is in agreement with the respective experimental observations in Pb+Pb collisions at the LHC: a pronounced nuclear enhancement at both ends of the spectrum. Our Monte Carlo simulations are supplemented with analytic estimates which clarify the physical interpretation of the results. The main source of theoretical uncertainty is the sensitivity of our calculations to a low-momentum cutoff which mimics confinement. To reduce this sensitivity, we propose a new observable, which describes the jet fragmentation into subjets and is infrared-and-collinear safe by construction. We present Monte Carlo predictions for the associated nuclear modification factor together with their physical interpretation.

Highlights

  • One important source of information about the dense partonic matter — the quark-gluon plasma — created in the intermediate stages of ultrarelativistic heavy ion collisions at RHIC and the LHC comes from studies of jets propagating through this dense medium and of the associated modifications of the jet structure and properties

  • Using a recently-developed perturbative-QCD approach for jet evolution in a dense quark-gluon plasma, we study the nuclear modification factor for the jet fragmentation function

  • Known as “jet quenching”, these modifications cover a large variety of phenomena and observables, from more inclusive ones, like the energy loss by the jet, to more detailed ones which probe the pattern of the in-medium jet fragmentation or the medium response to the jet

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Summary

Introduction

One important source of information about the dense partonic matter — the quark-gluon plasma — created in the intermediate stages of ultrarelativistic heavy ion collisions at RHIC and the LHC comes from studies of jets propagating through this dense medium and of the associated modifications of the jet structure and properties. This means that its theoretical predictions are strongly sensitive to non-perturbative (confinement) physics like the modelling of the hadronisation mechanism Another potential drawback of the fragmentation function, already recognised in the literature [2, 7], is that the nuclear enhancement seen in the LHC data at x 0.5 is not necessarily an evidence for new physics in the jet fragmentation at large x, but merely a consequence of the overall energy loss by the jet together with the bias introduced by the initial spectrum for jet production via hard (nucleon-nucleon) scatterings.

General picture and its Monte Carlo implementation
Monte Carlo results for the in-medium fragmentation function
Definitions and general set-up
Monte Carlo results and physical interpretation
Variability with respect to the unphysical cutoffs
Behaviour at large x
Behaviour at small x
Dependence on the jet pT
Analytic insight for x close to one
Brief summary of the vacuum results
Effect of the vetoed region
Effect of medium-induced emissions
Energy loss at large angles
Energy redistribution via a hard MIE
Bias introduced by the steeply falling jet spectrum
Small-x enhancement: colour decoherence and medium-induced radiation
Analytic estimates
Nuclear modification factor at DLA
Beyond DLA
Jet fragmentation into subjets
Definition and leading-order estimate in the vacuum
Analytic studies of the nuclear effects
Conclusions
A Expressions with running coupling
B Large x jet fragmentation to NLL accuracy
C Saddle-point method for in-medium intra-jet multiplicity at DLA
Full Text
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