The four jet production at LHC and Tevatron in QCD

TL;DR

This paper analyzes four-jet production in high-energy collisions, showing suppression in certain kinematics, deriving a QCD-based equation, and comparing theoretical predictions with experimental data, revealing the importance of multiparton correlations.

Contribution

It introduces a convolution-based QCD equation for four-jet production and highlights the need to include multiparton correlations beyond the independent parton approximation.

Findings

Four-jet production is suppressed in back-to-back kinematics.

Independent parton approximation fails to match experimental data.

Multiparton correlations are significant in proton wave functions.

Abstract

We demonstrate that in the back-to-back kinematics the production of four jets in the collision of two partons is suppressed in the leading log approximation of pQCD, compared to the hard processes involving the collision of four partons. We derive the basic equation for four-jet production in QCD in terms of the convolution of generalized two-parton distributions of colliding hadrons in the momentum space representation. Our derivation leads to geometrical approach in the impact parameter space close to that suggested within the parton model and used before to describe the four-jet production. We develop the independent parton approximation to the light-cone wave function of the proton. Comparison with the CDF and D0 data shows that the independent parton approximation to the light-cone wave function of the proton is insufficient to explain the data. We argue that the data indicate the presence of significant multiparton correlations in the light-cone wave functions of colliding protons.