Three-jet cross section in hadron collisions at next-to-leading order: pure gluon processes

TL;DR

The next-to-leading order three-jet cross section in hadron collisions is calculated in the simplified case when the matrix elements of all QCD subprocesses are approximated by the pure gluon matrix element.

Abstract

The next-to-leading order three-jet cross section in hadron collisions is calculated in the simplified case when the matrix elements of all QCD subprocesses are approximated by the pure gluon matrix element. The longitudinally-invariant $k_\perp$ jet-clustering algorithm is used. The important property of reduced renormalization and factorization scale dependence of the next-to-leading order physical cross section as compared to the Born cross section is demonstrated.

Figures (3)

• Figure 1: Total three-jet cross section $\sigma(d_{\rm cut}=70\,{\rm GeV})$ vs $\mu$ at the Born and $\alpha_s^4$ level.
• Figure 2: Differential three-jet cross section $d_{\rm cut}^3{\rm d}\sigma/{\rm d}d_{\rm cut}$ vs $d_{\rm cut}$ for $0.5d_{\rm cut}<\mu<2d_{\rm cut}$ at Born level (gray band) and at next-to-leading order (black band).
• Figure 3: Differential three-jet cross section $d_{\rm cut}^3{\rm d}\sigma/{\rm d}d_{\rm cut}$ vs $d_{\rm cut}$ for $\mu=d_{\rm cut}$ at Born level (crosses) and the higher order correction to it (histogram). The errobars indicate the statistical error of the Monte Carlo integration.