TY - JOUR

T1 - Order-αs corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity

AU - Bodwin, Geoffrey T.

AU - Chung, Hee Sok

AU - Lee, Jungil

AU - Yu, Chaehyun

N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2009/1/5

Y1 - 2009/1/5

N2 - We compute in order αs 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/ψ operator matrix elements.

AB - We compute in order αs 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/ψ operator matrix elements.

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U2 - 10.1103/PhysRevD.79.014007

DO - 10.1103/PhysRevD.79.014007

M3 - Article

AN - SCOPUS:59249107368

VL - 79

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 1

M1 - 014007

ER -