Effective Field Theories for Heavy Quarkonium

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.

Invited Plenary talk at The 20th European Conference on Few-Body Problems in Physics. September 10-14 2007. Pisa, Italy. To be published on Few-Body Systems

References in corpus (22)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• The HQET/NRQCD Lagrangian to order alpha/m^3
• The infrared behaviour of the static potential in perturbative QCD
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Nonperturbative determination of the QCD potential at O(1/m)
• The QCD Potential at $O(1/m)$
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Potential NRQED: The Positronium Case
• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$
• Positronium S state spectrum: analytic results at O(m alpha^6)
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Inclusive Decays of Heavy Quarkonium to Light Particles
• The static potential: lattice versus perturbation theory in a renormalon-based approach
• Poincare' invariance constraints on NRQCD and potential NRQCD
• The logarithmic contribution to the QCD static energy at NNNNLO
• Poincare' invariance and the heavy-quark potential
• The $\sqrt{mΛ_{QCD}$ scale in heavy quarkonium

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• Non-relativistic and potential non-relativistic effective field theories for scalar mediators
• Bound-state formation, dissociation and decays of darkonium with potential non-relativistic Yukawa theory for scalar and pseudoscalar mediators
• Mixed heavy-quark-gluon condensate in the stochastic vacuum model and dual superconductor
• Conformal Anomaly in Yang-Mills Theory and Thermodynamics of Open Confining Strings