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

Geoffrey T. Bodwin, Hee Sok Chung, Jungil Lee, Chaehyun Yu

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number014007
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume79
Issue number1
DOIs
Publication statusPublished - 2009 Jan 5

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quantum chromodynamics
quarks
electromagnetism
operators
streamlining
expansion
coefficients

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Order-αs corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity. / Bodwin, Geoffrey T.; Chung, Hee Sok; Lee, Jungil; Yu, Chaehyun.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 79, No. 1, 014007, 05.01.2009.

Research output: Contribution to journalArticle

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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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