H. Khan et P. Hoodbhoy, SYSTEMATIC GAUGE-INVARIANT APPROACH TO HEAVY QUARKONIUM DECAYS, Physical review. D. Particles and fields, 53(5), 1996, pp. 2534-2540
We present a method which, starting directly from QCD, permits a syste
matic gauge-invariant expansion to be made for all hard processes invo
lving quarkonia in powers of the quark relative velocity, a small natu
ral parameter for heavy quark systems. Our treatment automatically int
roduces soft gluons in the expansion. Corrections arising from the inc
orporation of gauge symmetry turn out to be important for decay and fr
agmentation processes involving <Q(Q)over bar> systems. The contributi
on of soft gluons is shown to be of higher order in v and so is neglec
ted for calculations done up to and including O(v(2)).