One-loop scalar integrals contributing to resummation of relativistic corrections to Γ[J/ψ → e+e-]

Jungil Lee, Hyeon Kyun Noh, Chaehyun Yu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We evaluate the scalar integrals that are necessary to compute the relativistic corrections to the QCD one-loop vertex corrections to the leptonic decay of the spin-triplet S-wave heavy quarkonium H resummed to all orders in the heavy-quark velocity v. Ultraviolet and infrared divergences are regularized by using dimensional regularization. A relativistic expansion of the results reproduces previous results for the order-v2 corrections. Our results will be very useful in determining the color-singlet nonrelativistic quantum chromodynamics matrix elements for the spin-triplet S-wave heavy quarkonia.

Original languageEnglish
Pages (from-to)403-408
Number of pages6
JournalJournal of the Korean Physical Society
Volume50
Issue number2
Publication statusPublished - 2007 Feb 1

Fingerprint

scalars
S waves
quantum chromodynamics
divergence
apexes
quarks
color
expansion
decay
matrices

Keywords

  • NRQCD
  • Relativistic corrections
  • Resummation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

One-loop scalar integrals contributing to resummation of relativistic corrections to Γ[J/ψ → e+e-]. / Lee, Jungil; Noh, Hyeon Kyun; Yu, Chaehyun.

In: Journal of the Korean Physical Society, Vol. 50, No. 2, 01.02.2007, p. 403-408.

Research output: Contribution to journalArticle

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AB - We evaluate the scalar integrals that are necessary to compute the relativistic corrections to the QCD one-loop vertex corrections to the leptonic decay of the spin-triplet S-wave heavy quarkonium H resummed to all orders in the heavy-quark velocity v. Ultraviolet and infrared divergences are regularized by using dimensional regularization. A relativistic expansion of the results reproduces previous results for the order-v2 corrections. Our results will be very useful in determining the color-singlet nonrelativistic quantum chromodynamics matrix elements for the spin-triplet S-wave heavy quarkonia.

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