### 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.