### 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 ^{+}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 language | English |
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Pages (from-to) | 1384-1388 |

Number of pages | 5 |

Journal | Journal of the Korean Physical Society |

Volume | 49 |

Issue number | 4 |

Publication status | Published - 2006 Oct 1 |

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### Keywords

- QCD radiative correction
- Scalar-integral reduction

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Korean Physical Society*,

*49*(4), 1384-1388.

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

Research output: Contribution to journal › Article

*Journal of the Korean Physical Society*, vol. 49, no. 4, pp. 1384-1388.

}

TY - JOUR

T1 - QCD radiative corrections to J/ψ leptonic decay by using the scalar-integral reduction method

AU - Lee, Jungil

AU - Yu, Chaehyun

PY - 2006/10/1

Y1 - 2006/10/1

N2 - 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.

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.

KW - QCD radiative correction

KW - Scalar-integral reduction

UR - http://www.scopus.com/inward/record.url?scp=33751065965&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751065965&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33751065965

VL - 49

SP - 1384

EP - 1388

JO - Journal of the Korean Physical Society

JF - Journal of the Korean Physical Society

SN - 0374-4884

IS - 4

ER -