Three jet cross-sections to next-to-leading order

One- and two-jet inclusive quantities in hadron collisions have already been calculated to next-to-leading order accuracy, using both the subtraction and the cone method. Since the one-loop corrections have recently been obtained for all five-parton amplitudes, three-jet inclusive quantities can also be predicted to next-to-leading order. The subtraction method presented in the literature is based on a systematic use of boost-invariant kinematical variables, and therefore its application to three-jet production is quite cumbersome. In this paper we re-analyze the subtraction method and point out the advantage of using angle and energy variables. This leads to simpler results and it has complete generality, extending its validity to

n

-jet production. The formalism is also applicable to

n

-jet production in

e~+e~-

annihilation and in photon-hadron collisions. All the analytical results necessary to construct an efficient numerical program for next-to-leading order three-jet inclusive quantities in hadroproduction are given explicitly. As new analytical result, we also report the collinear limits of all the two-to-four processes.

Note:

48 pages (Latex, macros are included) Report-no: ETH-TH/95-42, SLAC-PUB-95-7073

13.87.Ce
12.38.Bx
jets
QCD
hadron hadron: inclusive reaction
jet: hadroproduction
hadroproduction: jet
final state: (3jet)
(3jet): final state
quantum chromodynamics

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