Interference effects in medium-induced gluon radiation
By J. Casalderrey-Solana, E. Iancu. 2011
147 citations recorded by the source corpus.
As a step towards understanding the in-medium evolution of a hard jet, we consider the interference pattern for the medium-induced gluon radiation produced by a color singlet quark-antiquark antenna embedded in a QCD medium with size L. We focus on the typical kinematics for medium-induced gluon radiation in the BDMPS-Z regime, that is, short formation times τf ≪ L and relatively large emission angles $ \theta \gg {\theta_c} \equiv {{2} \left/ {{\sqrt {{\hat{q}{L^3}}} }} \right.} $, with $ \hat{q} $ the ‘jet quenching’ parameter. We demonstrate that, for a dipole opening angle $ {\theta_{q\bar{q}}} $ larger than θc, the interference between the medium-induced gluon emissions by the quark and the antiquark is parametrically suppressed with respect to the corresponding direct emissions. Physically, this is so since the direct emissions can be delocalized anywhere throughout the medium and thus yield contributions proportional to L. On the contrary, the interference occurs only between gluons emitted at very early times, within the characteristic time scales for quantum and color coherence between the two emitters, which in this regime are much smaller than L. This implies that, for $ {\theta_{q\bar{q}}} \gg {\theta_c} $, the medium-induced radiation by the dipole is simply the sum of the two BDMPS-Z spectra individually produced by the quark and the antiquark, without coherence effects like angular ordering. For $ {\theta_{q\bar{q}}} \ll {\theta_c} $, the medium-induced radiation by the dipole vanishes.
View Paper: https://www.semanticscholar.org/paper/f29361dcbc0d00174b35030e57a9d35e0dabd6da
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Citations in the corpus
- Medium-induced gluon branching (2012, background): “[21, 23, 36] for previous applications of a similar formalism).”
- A perturbative framework for jet quenching (2012, background): “Recent analytical studies improve on some approximations by considering gluon emission from eikonal antennae [44, 45], and by providing a differential formulation of the colour flow in the multiple scattering process [46].”
- A hybrid strong/weak coupling approach to jet quenching (2014, background): “Furthermore, even if we only look at hadrons that are formed via fragmentation, hadronization in this setting is still modified by the presence of the medium via changes in how color flows [66–71].”