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

Abstract

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(mα^8\ln^3α) corrections to the Hydrogen spectrum.

15 pages, 4 figures, LaTeX, more detailed explanations, added references, computation of the O(mα^8\ln^3α) corrections to the Hydrogen spectrum included. Final version

References in corpus (3)

• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• Nonabelian alpha_s^3/(m_q r^2) heavy-quark-antiquark potential
• The Running Coulomb Potential and Lamb Shift in QCD

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