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Asymptotics of transverse momentum broadening in dense QCD media
by Paul Caucal
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Paul Caucal |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2111.01088v1 (pdf) |
| Date accepted: | 2022-03-01 |
| Date submitted: | 2021-11-02 11:29 |
| Submitted by: | Caucal, Paul |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 50th International Symposium on Multiparticle Dynamics (ISMD2021) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study the asymptotic behaviour of the transverse momentum broadening distribution of an energetic quark or gluon propagating through dense QCD matter, in the large system size $L$ limit, taking into account radiative corrections in the double logarithmic approximation. Thanks to a connection between the evolution of the jet quenching parameter $\hat{q}$ and the formation of traveling wave fronts in nonlinear physics, we obtain a formula for the $L$ dependence of the characteristic transverse momentum scale $Q_s$ of the distribution valid up to terms of order $1/\ln(L)$. We briefly discuss the physical implications of this formula for jet quenching and small-$x$ phenomenology.
Published as SciPost Phys. Proc. 10, 018 (2022)
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2022-2-16 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2111.01088v1, delivered 2022-02-16, doi: 10.21468/SciPost.Report.4440
Strengths
Good context-setting in terms of jet quenching.
Mathematical content well explained, though relying on some expert knowledge of context. Reasonable within space constraints.
Good discussion of the interpretation of the results in terms of clearly explained Levy flights.
Weaknesses
It would have been nice in the conclusions to go a little further in explaining the consequences of the Levy-flight behaviour in terms of "quenching power", i.e. if the <kT^2> distribution grows faster than from Brownian motion, does this imply a greater than naively expected broadening/quenching from QGP than from a "normal" medium? And is there a physical intuition for the super-diffusive behaviour, e.g. in terms of pQCD-correlated emissions?
A few minor spelling/grammar typos, below threshold for correction in proceedings.
Report
A clearly written submission, covering a technical area with material accessible to generalists as well as specialists. Well suited for publication without revision.