Ewn. Glover et Dj. Miller, THE ONE-LOOP QCD CORRECTIONS FOR GAMMA-ASTERISK-]Q(Q)OVER-BAR-Q(Q)OVER-BAR, Physics letters. Section B, 396(1-4), 1997, pp. 257-263
We present the first calculation of the one-loop QCD corrections for t
he decay of an off-shell vector boson with vector couplings into two p
airs of quarks of equal or unequal flavours keeping all orders in the
number of colours. These matrix elements are relevant for the calculat
ion of the next-to-leading order O(alpha(s)(3)) corrections to four je
t production in electron-positron annihilation, the production of a ga
uge boson accompanied by two jets in hadron-hadron collisions and thre
e jet production in deep inelastic scattering. We compute the interfer
ence of one-loop and tree level Feynman diagrams, and organise the mat
rix elements in terms of combinations of scalar loop integrals that ar
e well behaved in the limit of vanishing Gram determinants. The result
s are therefore numerically stable and ready to be implemented in next
-to-leading order Monte Carlo calculations of the e(+)e(-) --> 4 jet,
e(+/-)p --> e(+/-)+3 jet and p (p) over bar --> V+2 jet processes. (C)
1997 Elsevier Science B.V.