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Medium-induced jet evolution: wave turbulence and energy loss | | Leonard Fister
; Edmond Iancu
; | | Date: |
6 Sep 2014 | | Abstract: | We study the gluon cascade generated via successive medium-induced branchings
by an energetic parton propagating through a dense QCD medium. We focus on the
high-energy regime where the energy $E$ of the leading particle is much larger
than the characteristic medium scale $omega_c=hat q L^2/2$, with $hat q$ the
jet quenching parameter and $L$ the distance travelled through the medium. In
this regime the leading particle loses only a small fraction
$simalpha_s(omega_c/E)$ of its energy and can be treated as a steady source
of radiation for gluons with energies $omegaleomega_c$. For this effective
problem with a source, we obtain exact analytic solutions for the gluon
spectrum and the energy flux. The solutions exhibit wave turbulence: the basic
physical process is a continuing fragmentation which is ’quasi-democratic’
(i.e. quasi-local in energy) and which provides an energy transfer from the
source to the medium at a rate (the energy flux $mathcal{F}$) which is
quasi-independent of $omega$. The locality of the branching process implies a
spectrum of the Kolmogorov-Obukhov type, i.e. a power-law spectrum which is a
fixed point of the branching process and whose strength is proportional to the
energy flux: $D(omega)simmathcal{F}/sqrtomega$ for $omegallomega_c$.
Via this turbulent flow, the gluon cascade loses towards the medium an energy
$Delta Esimalpha_s^2omega_c$, which is independent of the initial energy
$E$ of the leading particle and of the details of the thermalization mechanism
at the low-energy end of the cascade. This energy is carried away by very soft
gluons, which propagate at very large angles with respect to the jet axis. Our
predictions for the value of $Delta E$ and for its angular distribution appear
to agree quite well, qualitatively and even semi-quantitatively, with the
phenomenology of di-jet asymmetry in nucleus-nucleus collisions at the LHC. | | Source: | arXiv, 1409.2010 | | Services: | Forum | Review | PDF | Favorites | |
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