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Heavy quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature. (English) Zbl 1291.81383

Summary: We calculate the heavy quarkonium energy levels and decay widths in a quark-gluon plasma, whose temperature \(T\) and screening mass \(m_{D}\) satisfy the hierarchy \(m{\alpha}_{s} \gg T \gg m{\alpha}_{s}^{2} \gg m_{D}\) (\(m\) being the heavy-quark mass), at order \(m{\alpha}_{s}^{5}\) . We first sequentially integrate out the scales \(m, m{\alpha}_{s}\) and \(T\), and, next, we carry out the calculations in the resulting effective theory using techniques of integration by regions. A collinear region is identified, which contributes at this order. We also discuss the implications of our results concerning heavy quarkonium suppression in heavy ion collisions.

MSC:

81V05 Strong interaction, including quantum chromodynamics
81T28 Thermal quantum field theory
81V35 Nuclear physics
82D20 Statistical mechanics of solids
81U05 \(2\)-body potential quantum scattering theory
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