A T-Matrix Calculation for in-Medium Heavy-Quark Gluon Scattering

Abstract

The interactions of charm and bottom quarks in a Quark-Gluon Plasma (QGP) are evaluated using a thermodynamic 2-body T-matrix. We specifically focus on heavy-quark (HQ) interactions with thermal gluons with an input potential motivated by lattice-QCD computations of the HQ free energy. The latter is implemented into a field-theoretic ansatz for color-Coulomb and (remnants of) confining interactions. This, in particular, enables to discuss corrections to the potential approach, specifically hard-thermal-loop corrections to the vertices, relativistic corrections deduced from pertinent Feynman diagrams, and a suitable projection on transverse thermal gluons. The resulting potentials are applied to compute scattering amplitudes in different color channels and utilized for a calculation of the corresponding HQ drag coefficient in the QGP. A factor of ~2-3 enhancement over perturbative results is obtained, mainly driven by the resummation in the attractive color-channels.

References in corpus (6)

• The QCD Equation of State with almost Physical Quark Masses
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• Equation of State for physical quark masses
• Quarkonia and Heavy-Quark Relaxation Times in the Quark-Gluon Plasma
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
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