Radiative corrections to the jet quenching parameter in dilute and dense media

Blaizot, Jean‐Paul; Domínguez, Fabio

doi:10.1103/physrevd.99.054005

Cited by 14 publications

(20 citation statements)

References 19 publications

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“…The abscissa is scaled up by a factor 100 for clarity. debate on the sign and magnitude of radiative corrections, ∆Q 2 s [rad] to elastic Q 2 s [elas] [29,30,31]. Our preliminary estimates, to be reported elsewhere [31], agree with Ref.…”

Section: Introduction and Conclusionsupporting

confidence: 87%

Dijet Acoplanarity in CUJET3 as a Probe of the Nonperturbative Color Structure of QCD Perfect Fluids

Gyulassy,

Jacobs,

Liao

et al. 2020

Preprint

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Using the CUJET3=DGLV+VISHNU jet-medium interaction framework, we show that dijet azimuthal acoplanarity in high energy A + A collisions is sensitive to possible non-perturbative enhancement of the jet transport coefficient, q(T, E), in the QCD crossover temperature T ∼ 150 − 300 MeV range. With jet-medium couplings constrained by global RHIC& LHC χ 2 fits to nuclear modification data on R AA (p T > 20) GeV, we compare predictions of the medium induced dijet transverse momentum squared, Q 2 s ∼ qL ∼ ∆φ 2 E 2 , in two models of the temperature, T , and jet energy E dependence of the jet medium transport coefficient, q(T, E). In one model, wQGP, the chromo degrees of freedom (dof) are approximated by a perturbative dielectric gas of quark and gluons dof. In the second model, sQGMP, we consider a nonperturbative partially confined semi-Quark-Gluon-Monopole-Plasma with emergent color magnetic dof constrained by lattice QCD data. Unlike the slow variation of the scaled jet transport coefficient, qwQGP /T 3 , the sQGMP model qsQGMP /T 3 features a sharp maximum in the QCD confinement crossover T range. We show that the dijet path averaged medium induced azimuthal acoplanarity, ∆φ 2 , in sQGMP is robustly ∼ 2 times larger than in perturbative wQGP. even though the radiative energy loss in both models is very similar as needed to fit the same R AA data. Future A+A dijet acoplanarity measurements constrained together with single jet R AA and v n measurements therefore appears to be a promising strategy to search for possible signatures of critical opalescence like phenomena in the QCD confinement temperature range.

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Section: Introduction and Conclusionsupporting

confidence: 87%

Dijet Acoplanarity in CUJET3 as a Probe of the Nonperturbative Color Structure of QCD Perfect Fluids

Gyulassy,

Jacobs,

Liao

et al. 2020

Preprint

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“…Superficially, taking μ 2 /λ = q, Eq. ( 1) appears similar to work that found radiative corrections led to a double logarithmic enhancement to jet broadening [64] or to work which reabsorbed a double logarithmic enhancement to jet broadening into the jet transport coefficient q [65][66][67]. The most important difference between these works and ours is that none of these works include the physics of the initial hard scattering (and subsequent emission of vacuum-like radiation).…”

Section: Introductionsupporting

confidence: 75%

Jet broadening in the opacity and twist expansions

2022

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We compute the in-medium jet broadening $$\langle p_\perp ^2\rangle $$ ⟨ p ⊥ 2 ⟩ to leading order in energy in the opacity expansion. At leading order in $$\alpha _s$$ α s the elastic energy loss gives a jet broadening that grows with $$\ln E$$ ln E . The next-to-leading order in $$\alpha _s$$ α s result is a jet narrowing, due to destructive LPM interference effects, that grows with $$\ln ^2 E$$ ln 2 E . We find that in the opacity expansion the jet broadening asymptotics are – unlike for the mean energy loss – extremely sensitive to the correct treatment of the finite kinematics of the problem; integrating over all emitted gluon transverse momenta leads to a prediction of jet broadening rather than narrowing. We compare the asymptotics from the opacity expansion to a recent twist-4 derivation of $$\langle p_\perp ^2\rangle $$ ⟨ p ⊥ 2 ⟩ and find a qualitative disagreement: the twist-4 derivation predicts a jet broadening rather than a narrowing. Comparison with current jet measurements cannot distinguish between the broadening or narrowing predictions. We comment on the origin of the difference between the opacity expansion and twist-4 results.

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“…The function Y s (ρ) is then the inverse function of ρ s (Y ). Again, in the dilute regime, the value of Y is fixed by the typical path length L of the hard parton inside the dense medium [21],…”

Section: Figurementioning

confidence: 99%

“…More recently, Zakharov pointed out that relaxing the soft gluon approximation, usually performed in the computation of the radiative corrections, may lead to non-negligible NLO corrections at RHIC or LHC kinematics [20]. Furthermore, the interplay between the dense and dilute limit has been studied in [21]. E. Iancu proposed a non-linear evolution equation à la JIMWLK to account for the dominant radiative corrections to all orders [18].…”

Section: Introductionmentioning

confidence: 99%

Universality aspects of quantum corrections to transverse momentum broadening in QCD media

Caucal¹,

Mehtar-Tani²

2022

Preprint

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We study non-linear quantum corrections to transverse momentum broadening (TMB) of a fast parton propagating in dense QCD matter in the leading logarithmic approximation. These non-local corrections yield an anomalous super-diffusive behavior characterized by a heavy tailed distribution which is associated with Lévy random walks. Using a formal analogy with the physics of traveling waves, we show that at late times the transverse momentum distribution tends to a universal scaling regime. We derive analytic solutions in terms of an asymptotic expansion around the scaling limit for both fixed and running coupling. We note that our analytic approach yields a good agreement with the exact numerical solutions down to realistic values of medium length. Finally, we discuss the interplay between system size and energy dependence of the diffusion coefficient q and its connection with the gluon distribution function that is manifest at large transverse momentum transfer.

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Radiative corrections to the jet quenching parameter in dilute and dense media

Cited by 14 publications

References 19 publications

Dijet Acoplanarity in CUJET3 as a Probe of the Nonperturbative Color Structure of QCD Perfect Fluids

Dijet Acoplanarity in CUJET3 as a Probe of the Nonperturbative Color Structure of QCD Perfect Fluids

Jet broadening in the opacity and twist expansions

Universality aspects of quantum corrections to transverse momentum broadening in QCD media

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