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Heavy quark diffusion in perturbative QCD at next-to-leading order

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arxiv 0708.4232 v1 pith:VHI5JRFG submitted 2007-08-30 hep-ph nucl-th

classification hep-phnucl-th
keywords diffusionheavyquarkcouplingexpansionfracmomentumnext-to-leading
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the momentum diffusion coefficient of a nonrelativistic heavy quark in a hot QCD plasma, to next-to-leading order in the weak coupling expansion. Corrections arise at O(g); physically they represent interference between overlapping scatterings, as well as soft, electric scale ($p\sim gT$) gauge field physics, which we treat using the hard thermal loop (HTL) effective theory. In 3-color, 3-flavor QCD, the momentum diffusion constant of a fundamental representation heavy quark at NLO is $\kappa = \frac{16\pi}{3} \alpha_s^2 T^3 (\ln \frac{1}{g} + 0.07428 + 1.8869 g)$. The convergence of the weak coupling expansion is poor.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Momentum Dependence of Heavy Quark Diffusion in a Thermal Gluonic Plasma on the Lattice

    hep-lat 2026-06 unverdicted novelty 7.0 of 10

    Lattice simulations of a 3D effective gluonic plasma theory produce the first reported momentum dependence of heavy quark drag and diffusion coefficients in a non-perturbative non-Abelian thermal medium.

  2. Emergence, Formation and Dynamics of Hot QCD Matter

    hep-ph 2024-12 conditional novelty 7.0 of 10

    A doctoral thesis deriving the QCD correlation functions that control quarkonium dissociation and recombination in the quark-gluon plasma, and showing that hydrodynamization in a simplified QCD kinetic theory matches ...

  3. Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.

  4. Non-extensive Hard Thermal Loop Resummation and Its Applications: Analysis in Zero and Finite Magnetic Fields

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Non-extensive HTL corrections increase the Debye mass, weaken the heavy quark potential, and lower the predicted melting temperatures of J/Ψ and Υ, with a magnetic field opposing the effect.

  5. Perturbative and nonperturbative properties of heavy quark transport in a thermal SU(3) gluon plasma

    hep-ph 2025-10 conditional novelty 5.0 of 10

    In a gluon plasma near Tc, a temperature-dependent background color field suppresses heavy-quark collisional energy loss and momentum diffusion relative to perturbative QCD.

  6. Heavy quark suppression and anisotropic flow at intermediate momentum

    hep-ph 2025-01 conditional novelty 4.0 of 10

    Heavy quark suppression and elliptic flow in noncentral heavy-ion collisions are computed with a unified collisional plus radiative energy-loss model, showing a collisional-to-radiative transition and weaker pT depend...

  7. What is the Quark-Gluon Plasma made of?

    nucl-th 2025-06 accept novelty 2.0 of 10

    The quark-gluon plasma is best described as a strongly coupled liquid of massive, very short-lived quark and gluon quasiparticles, with sound (phonon) modes becoming the most well-defined collective excitation at low momenta.

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