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.
|Number of pages||6|
|Journal||Journal of the Korean Physical Society|
|Publication status||Published - 2007 Feb 1|
- Relativistic corrections
ASJC Scopus subject areas
- Physics and Astronomy(all)