Abstract
A high energy jet that propagates in a dense medium generates a cascade of partons that can be described as a classical branching process. A simple generating functional for the probabilities to observe a given number of gluons at a given time is derived. This is used to obtain an evolution equation for the inclusive one-gluon distribution, that takes into account the dependence upon the energy and the transverse momentum of the observed gluon. A study of the explicit transverse momentum dependence of the splitting kernel leads us to identify large corrections to the jet quenching parameter \( \widehat{q} \).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at \( \sqrt{{{s_{{N\,N}}}}} \) = 2.77 TeV with the ATLAS Detector at the LHC, Phys. Rev. Lett. 105 (2010) 252303 [arXiv:1011.6182] [INSPIRE].
CMS collaboration, Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV, Phys. Rev. C 84 (2011) 024906 [arXiv:1102.1957] [INSPIRE].
CMS collaboration, Jet momentum dependence of jet quenching in PbPb collisions at \( \sqrt{{{s_{{N\,N}}}}} \) = 2.76 TeV, Phys. Lett. B 712 (2012) 176 [arXiv:1202.5022] [INSPIRE].
ATLAS collaboration, Measurement of the jet radius and transverse momentum dependence of inclusive jet suppression in lead-lead collisions at \( \sqrt{{{s_{{N\,N}}}}} \) = 2.76 TeV with the ATLAS detector, Phys. Lett. B 719 (2013) 220 [arXiv:1208.1967] [INSPIRE].
CMS collaboration, Modification of jet shapes in PbPb collisions at \( \sqrt{{{s_{{N\,N}}}}} \) = 2.76 TeV, Phys. Lett. B 730 (2014) 243 [arXiv:1310.0878] [INSPIRE].
R. Baier, Y.L. Dokshitzer, A.H. Mueller, S. Peigne and D. Schiff, Radiative energy loss of high-energy quarks and gluons in a finite volume quark-gluon plasma, Nucl. Phys. B 483 (1997) 291 [hep-ph/9607355] [INSPIRE].
R. Baier, Y.L. Dokshitzer, A.H. Mueller, S. Peigne and D. Schiff, Radiative energy loss and p T broadening of high-energy partons in nuclei, Nucl. Phys. B 484 (1997) 265 [hep-ph/9608322] [INSPIRE].
R. Baier, Y.L. Dokshitzer, A.H. Mueller and D. Schiff, Medium induced radiative energy loss: equivalence between the BDMPS and Zakharov formalisms, Nucl. Phys. B 531 (1998) 403 [hep-ph/9804212] [INSPIRE].
B.G. Zakharov, Fully quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD, JETP Lett. 63 (1996) 952 [hep-ph/9607440] [INSPIRE].
B.G. Zakharov, Radiative energy loss of high-energy quarks in finite size nuclear matter and quark-gluon plasma, JETP Lett. 65 (1997) 615 [hep-ph/9704255] [INSPIRE].
U.A. Wiedemann, Gluon radiation off hard quarks in a nuclear environment: Opacity expansion, Nucl. Phys. B 588 (2000) 303 [hep-ph/0005129] [INSPIRE].
M. Gyulassy, P. Levai and I. Vitev, Reaction operator approach to nonAbelian energy loss, Nucl. Phys. B 594 (2001) 371 [nucl-th/0006010] [INSPIRE].
P.B. Arnold, G.D. Moore and L.G. Yaffe, Photon and gluon emission in relativistic plasmas, JHEP 06 (2002) 030 [hep-ph/0204343] [INSPIRE].
Y. Mehtar-Tani, C.A. Salgado and K. Tywoniuk, Anti-angular ordering of gluon radiation in QCD media, Phys. Rev. Lett. 106 (2011) 122002 [arXiv:1009.2965] [INSPIRE].
Y. Mehtar-Tani, C.A. Salgado and K. Tywoniuk, Jets in QCD Media: From Color Coherence to Decoherence, Phys. Lett. B 707 (2012) 156 [arXiv:1102.4317] [INSPIRE].
J. Casalderrey-Solana and E. Iancu, Interference effects in medium-induced gluon radiation, JHEP 08 (2011) 015 [arXiv:1105.1760] [INSPIRE].
Y. Mehtar-Tani, C.A. Salgado and K. Tywoniuk, The radiation pattern of a QCD antenna in a dilute medium, JHEP 04 (2012) 064 [arXiv:1112.5031] [INSPIRE].
Y. Mehtar-Tani and K. Tywoniuk, Jet coherence in QCD media: the antenna radiation spectrum, JHEP 01 (2013) 031 [arXiv:1105.1346] [INSPIRE].
J.-P. Blaizot, F. Dominguez, E. Iancu and Y. Mehtar-Tani, Medium-induced gluon branching, JHEP 01 (2013) 143 [arXiv:1209.4585] [INSPIRE].
J. Casalderrey-Solana, Y. Mehtar-Tani, C.A. Salgado and K. Tywoniuk, New picture of jet quenching dictated by color coherence, Phys. Lett. B 725 (2013) 357 [arXiv:1210.7765] [INSPIRE].
J.-P. Blaizot, E. Iancu and Y. Mehtar-Tani, Medium-induced QCD cascade: democratic branching and wave turbulence, Phys. Rev. Lett. 111 (2013) 052001 [arXiv:1301.6102] [INSPIRE].
T. Liou, A.H. Mueller and B. Wu, Radiative p ⊥ -broadening of high-energy quarks and gluons in QCD matter, Nucl. Phys. A 916 (2013) 102 [arXiv:1304.7677] [INSPIRE].
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].
P. Cvitanovic, P. Hoyer and K. Zalewski, Parton evolution as a branching process, Nucl. Phys. B 176 (1980) 429 [INSPIRE].
R. Baier, A.H. Mueller, D. Schiff and D.T. Son, ’Bottom up’ thermalization in heavy ion collisions, Phys. Lett. B 502 (2001) 51 [hep-ph/0009237] [INSPIRE].
S. Jeon and G.D. Moore, Energy loss of leading partons in a thermal QCD medium, Phys. Rev. C 71 (2005) 034901 [hep-ph/0309332] [INSPIRE].
B. Schenke, C. Gale and S. Jeon, MARTINI: An Event generator for relativistic heavy-ion collisions, Phys. Rev. C 80 (2009) 054913 [arXiv:0909.2037] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1311.5823
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Blaizot, JP., Dominguez, F., Iancu, E. et al. Probabilistic picture for medium-induced jet evolution. J. High Energ. Phys. 2014, 75 (2014). https://doi.org/10.1007/JHEP06(2014)075
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2014)075