We present a new general algorithm for calculating arbitrary jet cross sections in arbitrary scattering processes to next-to-leading accuracy in perturbative QCD. The algorithm is based on the subtraction method. The key ingredients are new factorization formulae, called dipole formulae, which implement in a Lorentz covariant way both the usual soft and collinear approximations, smoothly interpolating the two. The corresponding dipole phase space obeys exact factorization, so that the dipole contributions to the cross section can be exactly integrated analytically over the whole of phase space. We obtain explicit analytic results for any jet observable in any scattering or fragmentation process in lepton, lepton-hadron or hadron-hadron collisions. All the analytical formulae necessary to construct a numerical program for next-to-leading order QCD calculations are provided. The algorithm is straightforwardly implementable in general purpose Monte Carlo programs.
Nuclear Physics B
- Pub Date:
- February 1997
- High Energy Physics - Phenomenology
- Resubmitted version corrects an error in the definitions of the Lorentz boosts used in sections 5.5 and 5.6. No other results are affected. 120 pages, 4 figures. This paper can also be obtained from http://surya11.cern.ch/users/seymour/pubs/nlo.html