QCD radiative corrections to J/ψ leptonic decay by using the scalar-integral reduction method

Jungil Lee, Chaehyun Yu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study the scalar-integral reduction method, which uses the integration-by-parts method, in calculating α s corrections to heavy-quarkonium amplitudes. We apply this method to leptonic decay of the spin-triplet S-wave heavy quarkonium as an illustrative example. All possible scalar integrals are reduced into a single master integral in the J/ψ → ℓ +- decay at this order. One drawback of this method is that one cannot avoid a mixture of ultraviolet (UV) and infrared (IR) poles during the reduction. We show a way to classify the origin of divergences in loop integrals in the scalar-integral reduction method. We expect this method to be useful in constructing a fast algebraic algorithm for QCD radiative corrections to quarkonium processes.

Original languageEnglish
Pages (from-to)1384-1388
Number of pages5
JournalJournal of the Korean Physical Society
Volume49
Issue number4
Publication statusPublished - 2006 Oct 1

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quantum chromodynamics
scalars
decay
S waves
divergence
poles

Keywords

  • QCD radiative correction
  • Scalar-integral reduction

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

QCD radiative corrections to J/ψ leptonic decay by using the scalar-integral reduction method. / Lee, Jungil; Yu, Chaehyun.

In: Journal of the Korean Physical Society, Vol. 49, No. 4, 01.10.2006, p. 1384-1388.

Research output: Contribution to journalArticle

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AB - We study the scalar-integral reduction method, which uses the integration-by-parts method, in calculating α s corrections to heavy-quarkonium amplitudes. We apply this method to leptonic decay of the spin-triplet S-wave heavy quarkonium as an illustrative example. All possible scalar integrals are reduced into a single master integral in the J/ψ → ℓ +ℓ - decay at this order. One drawback of this method is that one cannot avoid a mixture of ultraviolet (UV) and infrared (IR) poles during the reduction. We show a way to classify the origin of divergences in loop integrals in the scalar-integral reduction method. We expect this method to be useful in constructing a fast algebraic algorithm for QCD radiative corrections to quarkonium processes.

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