Radiative energy loss and radiative p ⊥-broadening of high-energy partons in QCD matter

Wu, Bin

doi:10.1007/jhep12(2014)081

Cited by 41 publications

(47 citation statements)

References 19 publications

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“…The goal of this paper is to (i) present nearly complete results for the case of two overlapping gluon splittings (e.g. g → gg → ggg) and (ii) confirm that earlier leading-log results for these effects [7][8][9] are reproduced by our more-complete results in the appropriate soft limit. As a necessary step, we discuss how to combine the effects of overlapping real double splitting (g → gg → ggg) with corresponding virtual corrections to single splitting (e.g.…”

Section: Introductionsupporting

confidence: 75%

The LPM effect in sequential bremsstrahlung

Arnold

Iqbal

2015

J. High Energ. Phys.

282

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The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. We analyze the case when the coherence lengths of two consecutive splitting processes overlap, which is important for understanding corrections to standard treatments of the LPM effect in QCD. Previous authors have analyzed this problem in the case of overlapping double bremsstrahlung where at least one of the bremsstrahlung gluons is soft. Here we show how to generalize to include the case where both splittings are hard. A number of techniques must be developed, and so in this paper we simplify by (i) restricting attention to a subset of the interference effects, which we call the "crossed" diagrams, and (ii) working in the large-N c limit. We first develop some general formulas that could in principle be implemented numerically (with substantial difficulty). To make more analytic progress, we then focus on the case of a thick, homogeneous medium and make the multiple scattering approximation (also known as theq or harmonic approximation) appropriate at high energy. We show that the differential rate dΓ/dx dy for overlapping double bremsstrahlung of gluons with momentum fractions x and y can then be reduced to the calculation of a 1-dimensional integral, which we perform numerically.

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Section: Introductionsupporting

confidence: 75%

The LPM effect in sequential bremsstrahlung

Arnold

Iqbal

2015

J. High Energ. Phys.

282

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“…Second, we have limited ourselves to a leading-order formalism within perturbative QCD at weak coupling. However, as recently understood, there are important quantum corrections -notably, double-logarithmic corrections toq from medium-induced radiation [47][48][49][50][51] and thermal corrections of O(g) to the kinetic equations [52,53] -that are by now available and could be used to improve our current estimates. In particular, the double-logarithmic corrections are non-local and introduce an additional dependence upon the medium size L, in the form of an 'anomalous dimension' [48][49][50].…”

Section: Discussionmentioning

confidence: 93%

Multi-particle correlations and KNO scaling in the medium-induced jet evolution

Escobedo

Iancu

2016

J. High Energ. Phys.

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We study the gluon distribution produced via successive medium-induced branchings by an energetic jet propagating through a weakly-coupled quark-gluon plasma. We show that under suitable approximations the evolution of the jet can be described as a classical stochastic process, which is exactly solvable. For this process, we construct exact analytic solutions for all the n-point correlation functions (the n-body densities in the space of energy). The corresponding results for the one-point and the two-point functions were already known, but those for the higher-point functions are new. These results demonstrate strong correlations associated with the existence of common ancestors in the branching process. By integrating these n-point functions over the gluon energies, we deduce the mean gluon multiplicity N as well as the higher moments N p with p ≥ 2. We find that the multiplicities of the soft gluons are parametrically large and show a remarkable regularity, known as Koba-Nielsen-Olesen (KNO) scaling: the reduced moments N p / N p are pure numbers, independent of any of the physical parameters of the problem. We recognize a special negative binomial distribution which is characterized by large statistical fluctuations. These predictions can be tested in Pb+Pb collisions at the LHC, via event-by-event measurements of the di-jet asymmetry.

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“…Radiative corrections toq have been calculated in a static QCD medium with a fixed length L. The transverse momentum broadening is found to receive a double logarithmic correction [2], which can be resummed in perturbative QCD [3]. Such a double logarithmic enhancement has been shown to be universal both in p 2 ⊥ −broadening [2,3] and radiative energy loss [4,5]. And it can be formally absorbed into a renormalizedq [4,6].…”

Section: Introductionmentioning

confidence: 96%

Jet quenching parameter in an expanding QCD plasma

Iancu

Taels

2018

Physics Letters B

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We present a new definition of the jet quenching parameterq in a weakly-coupled quark-gluon plasma undergoing boost-invariant longitudinal expansion. We propose a boost-invariant definition ofq, which is proportional to the broadening of the angular variables η (the pseudo-rapidity) and φ (the azimuthal angle). We furthermore consider radiative corrections toq and find potentially large corrections enhanced by a double logarithm like the case of a static medium. But unlike for the static medium, these corrections are now local in (proper) time.

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Radiative energy loss and radiative p ⊥-broadening of high-energy partons in QCD matter

Cited by 41 publications

References 19 publications

The LPM effect in sequential bremsstrahlung

The LPM effect in sequential bremsstrahlung

Multi-particle correlations and KNO scaling in the medium-induced jet evolution

Jet quenching parameter in an expanding QCD plasma

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