Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature

A bstract Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for evolution of heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in ratio binding energy state temperature medium. The resulting NLO can be used more reliably describe quark-gluon plasma at low temperatures compared leading-order truncation. For phenomenological application, numerically solve using trajectories algorithm. To achieve this, map solution three-dimensional an ensemble one-dimensional Schrödinger evolutions with Monte-Carlo sampled jumps. Averaging over jumps, obtain without truncation angular momentum number states considered. We also consider system only complex Hamiltonian stochastic jumps and find this provides reliable approximation ground survival probability LO NLO. Finally, make comparisons our prior pNRQCD results experimental data available from ATLAS, ALICE, CMS collaborations.