Gluon radiation off hard quarks in a nuclear environment: opacity expansion

By U. Wiedemann. 2000

405 citations recorded by the source corpus.

Abstract We study the relation between the Baier–Dokshitzer–Mueller–Peigne–Schiff (BDMPS) and Zakharov formalisms for medium-induced gluon radiation off hard quarks, and the radiation off very few scattering centers. Based on the non-abelian Furry approximation for the motion of hard partons in a spatially extended colour field, we derive a compact diagrammatic and explicitly colour trivial expression for the N th order term of the k ⊥ -differential gluon radiation cross section in an expansion in the opacity of the medium. Resumming this quantity to all orders in opacity, we obtain Zakharov's path-integral expression (supplemented with a regularization prescription). This provides a new proof of the equivalence of the BDMPS and Zakharov formalisms which extends previous arguments to the k ⊥ -differential cross section. We give explicit analytical results up to third order in opacity for both the gluon radiation cross section of free incoming and of in-medium produced quarks. The N th order term in the opacity expansion of the radiation cross section is found to be a convolution of the radiation associated to N -fold rescattering and a readjustment of the probabilities that rescattering occurs with less than N scattering centers. Both informations can be disentangled by factorizing out of the radiation cross section a term which depends only on the mean free path of the projectile. This allows to infer analytical expressions for the totally coherent and totally incoherent limits of the radiation cross section to arbitrary orders in opacity.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/11590a90e41e8474e4fd22e2d1b3147248424265

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In Nuclear and High Energy Physics

Citations in the corpus

Interference effects in medium-induced gluon radiation (2011, background): “From a microscopic point of view, the dominant mechanism for jet quenching at weak coupling and high energy is radiative energy loss associated with medium–induced gluon radiation [9, 10, 11, 12, 13, 14, 15, 16, 17] (see also the review papers [18, 19] for more references).”
Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, result): “This is consistent with theoretical calculations, which indicate that an energetic parton propagating in a strongly-coupled medium will lose a significant fraction of its energy due to interactions with the medium prior to hadronization [414, 415, 416, 417, 418, 419].”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “31) then follows after a lengthy but purely technical calculation [142].”
Medium-induced gluon branching (2012, background): “It follows that the exponential cannot be expanded in general (as done for instance in the opacity expansion [14, 16]).”
Jet quenching in high-energy heavy-ion collisions (2015, methodology): “The opacity expansion was developed by Gyulassy, Levai and Vitev (GLV)40–42 and independently by Wiedemann.43,44 Such approach is based on a systematic expansion in terms of the number of scatterings experienced by the propagating parton.”