Order-alpha_s corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity

Abstract

We compute in order alpha_s the nonrelativistic QCD (NRQCD) short-distance coefficients that match quark-antiquark operators of all orders in the heavy-quark velocity v to the electromagnetic current. We employ a new method to compute the one-loop NRQCD contribution to the matching condition. The new method uses full-QCD expressions as a starting point to obtain the NRQCD contribution, thus greatly streamlining the calculation. Our results show that, under a mild constraint on the NRQCD operator matrix elements, the NRQCD velocity expansion for the quark-antiquark-operator contributions to the electromagnetic current converges. The velocity expansion converges rapidly for approximate J/psi operator matrix elements.

35 pages, minor corrections, version published in Phys. Rev. D

References in corpus (12)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Asymptotic expansion of Feynman integrals near threshold
• Two-loop Correction to the Leptonic Decay of Quarkonium
• Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near the threshold
• Order-v^4 Corrections to S-wave Quarkonium Decay
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Annihilation of S-wave quarkonia and the measurement of alpha_s
• QCD Radiative Corrections to the Leptonic Decay Rate of the B_c Meson
• Power Counting in Dimensionally Regularized NRQCD
• Electromagnetic quarkonium decays at order v^7
• Renormalon Ambiguities in NRQCD Operator Matrix Elements

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• $O({\alpha }_s{v}^2)$ correction to pseudoscalar quarkonium decay to two photons
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s
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• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
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