Large Multiplicity Gluon Production in QCD
arXiv:hep-ph/9304238 · doi:10.1016/0370-2693(94)91026-X
Abstract
We compute the approximate cross section for producing {\it resolved} gluons in a gluon-gluon collision, using the Parke-Taylor formula regularized in a Lorentz invariant manner. We find, in double leading logarithm approximation, that \[ σ_{n}^{(0)} \approx \frac{1}{s} \left( \frac{N_cα_s}{2 π\sqrt{12}} \ \ln^{2} (s/s_{cut})\right)^{n-2}\ \ , \] where is the minimum invariant mass for a resolved gluon pair. There is no factor of multiplying the expression. We present additional numerical results, and comment on their implications for perturbative calculations of -jet cross sections at colliders.
13 pages, LaTex, NUB-3061/93-TH