Multi-jet Production in Hadron Collisions

TL;DR

The paper develops a Dyson–Schwinger recursion-based framework to compute tree-level QCD amplitudes for high-multiplicity jet production with massless quarks, avoiding explicit diagram enumeration. It replaces discrete colour and helicity sums with Monte Carlo sampling over continuous colour space and polarisation phases, enabling efficient evaluation of multi-jet processes. A FORTRAN implementation demonstrates jet production rates up to eight jets at the LHC energy, includes phase-space generation tailored to antenna structures, and validates flavour integration against established tools, while outlining pathways to fragmentation-stage integration. The work provides a practical, scalable approach for realistic multi-jet simulations and their use as backgrounds in collider analyses.

Abstract

The advent of high-energy hadron colliders necessitates efficient and accurate computation of multi-jet production processes, both as QCD processes in their own right and as backgrounds for other physics. The algorithm that performs these tasks and a brief numerical study of multi-jet processes are presented.

Figures (3)

• Figure 1: Maximum $p_T$ distributions for $gg \to gggg$ (top plot) and $q\bar{q} \to r\bar{r} s\bar{s}$ (bottom plot)
• Figure 2: $p_T$ distributions for 5,6 and 7 jet production
• Figure 3: Invariant mass distributions for 5,6 and 7 jet production