Heavy Quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature
Keywords
quarkonium: heavy | quark gluon: plasma | quarkonium: energy levels | heavy quark: mass | mass: screening | heavy ion: scattering | temperature | quarkonium: width | quantum chromodynamics: finite temperature | effective field theory | gluon: transverse | gluon: longitudinal | hard thermal loop approximation
Abstract
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 >> T >> m alpha_s^2 >> 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.
