Effective Field Theories for Heavy Quarkonium

TL;DR

This paper reviews how nonrelativistic effective field theories define QCD potentials and provide a systematic framework for calculating heavy quarkonium properties based on QCD parameters.

Contribution

It offers a coherent field theory approach to heavy quarkonium, connecting potential forms with low-energy QCD dynamics and systematically including nonpotential corrections.

Findings

Heavy quarkonium properties depend only on quark masses and $\ar{\alpha}_s$.

Nonperturbative potentials relate to low-energy QCD dynamics.

Systematic inclusion of nonpotential corrections enhances predictive accuracy.

Abstract

We briefly review how nonrelativistic effective field theories give us a definition of the QCD potentials and a coherent field theory derived quantum mechanical scheme to calculate the properties of bound states made by two or more heavy quarks. In this framework heavy quarkonium properties depend only on the QCD parameters (quark masses and $\als$) and nonpotential corrections are systematically accounted for. The relation between the form of the nonperturbative potentials and the low energy QCD dynamics is also discussed.