Coherent medium-induced gluon radiation in hard forward $1\to 1$ partonic processes

Abstract

We revisit the medium-induced coherent radiation associated to hard and forward (small angle) scattering of an energetic parton through a nuclear medium. We consider all $1\to 1$ hard forward processes ($g\to g$, $q\to q$, $q\to g$ and $g\to q$), and derive the energy spectrum of induced coherent radiation rigorously to all orders in the opacity expansion and for the specific case of a Coulomb scattering potential. We obtain a simple general formula for the induced coherent spectrum, which encompasses the results corresponding to previously known special cases.

35 pages, 10 figures; title changed, introduction developed and references added, detailed discussion added in Section VI, all results unchanged; version v2 corresponds to the published version

References in corpus (4)

• Non-Abelian energy loss in cold nuclear matter
• Revisiting scaling properties of medium-induced gluon radiation
• Interference between initial and final state radiation in a QCD medium
• Parton energy loss in high energy hard forward processes in proton-nucleus collisions

Cited by in corpus (15)

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• Medium-induced gluon radiation in hard forward parton scattering in the saturation formalism
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• Nuclear $p_{\perp }$-broadening of Drell-Yan and quarkonium production from SPS to LHC
• Bottomonium spectroscopy in the quark-gluon plasma
• Nuclear $p_{\perp }$-broadening of an energetic parton pair
• Hot-medium effects on ${\rm Y}$ yields in pPb collisions at $\sqrt{s_{\text{NN}}}=8.16$ TeV
• Depletion of atmospheric neutrino fluxes from parton energy loss
• Nuclear suppression in p-A collisions from induced radiation
• Coherent gluon radiation: beyond leading-log accuracy
• On the process-dependence of coherent medium-induced gluon radiation
• The Drell-Yan nuclear modification due to the nuclear effects of nPDFs and initial-state parton energy loss