Large Multiplicity Gluon Production in QCD

Details Large Multiplicity Gluon Production in QCD Large Multiplicity Gluon Production in QCD

1993-04-08

arxiv.org/abs/hep-ph/9304238v1

Phys. Lett. B333 (1994) 178-183

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTex, NUB-3061/93-TH

Scientific paper

10.1016/0370-2693(94)91026-X

We compute the approximate cross section $\sigma_n^{(0)}$ for producing $n-2$ {\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 \[ \sigma_{n}^{(0)} \approx \frac{1}{s} \left( \frac{N_c\alpha_s}{2 \pi \sqrt{12}} \ \ln^{2} (s/s_{cut})\right)^{n-2}\ \ , \] where $\sqrt{s_{cut}}$ is the minimum invariant mass for a resolved gluon pair. There is no factor of $1/(n-2)!$ multiplying the expression. We present additional numerical results, and comment on their implications for perturbative calculations of $n$-jet cross sections at colliders.

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