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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, 4 figures, LaTeX, more detailed explanations, added references, computation of the O(m\alpha^8\ln^3\alpha) correctio

Scientific paper

10.1103/PhysRevD.66.054022

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.

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