Hybrid potentials versus gluelumps

A potential model description of heavy quarkonium can be rigorously deduced from QCD under some circumstances. The potentials can be unambiguously related with Wilson loops with gluonic insertions, the spectral decomposition of which is a function of the spectrum and matrix elements solution of the static limit of NRQCD. This spectrum is nothing but the static singlet potential and the hybrid potentials (which correspond to the gluonic excitations). We will quantitatively show that the latter unambiguously relate to the gluelumps at short distances using effective field theories.Comment: 7 pages, 2 figures, Invited Plenary talk at the Conference ``Quark Confinement and the Hadron SpectrumVII''. 2-7th Sept. 2006. Ponta Delgada, Azores Islands. Portuga

Large order behavior in perturbation theory of the pole mass and the singlet static potential

We discuss upon recent progress in our knowledge of the large order behavior in perturbation theory of the pole mass and the singlet static potential. We also discuss about the renormalon subtracted scheme, a matching scheme between QCD and any effective field theory with heavy quarks where, besides the usual perturbative matching, the first renormalon in the Borel plane of the pole mass is subtracted.Comment: 6 pages, LaTeX, AIP proceedings style. Talk given at QCD@work conference, Martina Franca, Italy, 16-20 Jun 2001. One reference adde

Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation

In the framework of potential NRQCD, we obtain the next-to-leading-log renormalization-group running of the matching coefficients for the heavy quarkonium production currents near threshold. This allows to obtain S-wave heavy-quarkonium production/annihilation observables with next-to-leading-log accuracy within perturbative QCD. In particular, we give expressions for the decays of heavy quarkonium to e^+e^- and to two photons. We also compute the O(m\alpha^8\ln^3\alpha) corrections to the Hydrogen spectrum.Comment: 15 pages, 4 figures, LaTeX, more detailed explanations, added references, computation of the O(m\alpha^8\ln^3\alpha) corrections to the Hydrogen spectrum included. Final versio