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

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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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PINEDA, Antonio (Pineda Ruiz). Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation. Physical Review D. 2002. Vol. 66, num. 5, pags. 054022-1-054022-8. ISSN 0556-2821. [consulted: 25 of May of 2026]. Available at: https://hdl.handle.net/2445/12464

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