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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.79.014007

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.

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