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.
|Number of pages||5|
|Journal||Journal of the Korean Physical Society|
|Publication status||Published - 2006 Oct 1|
- QCD radiative correction
- Scalar-integral reduction
ASJC Scopus subject areas
- Physics and Astronomy(all)