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(mα83α) corrections to the Hydrogen spectrum.

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