Abstract

We study the production of two forward jets with a large interval of rapidity at hadron colliders, which was proposed by Mueller and Navelet as a possible test of the high energy dynamics of QCD, within a complete next-to-leading logarithm framework. We show that using the Brodsky-Lepage-Mackenzie procedure to fix the renormalization scale leads to a very good description of the recent CMS data at the LHC for the azimuthal correlations of the jets. We show that the inclusion of next-to-leading order corrections to the jet vertex significantly reduces the importance of energy-momentum non-conservation which is inherent to the BFKL approach, for an asymmetric jet configuration. Finally, we argue that the double parton scattering contribution is negligible in the kinematics of actual CMS measurements.

Highlights

  • The dijet production with large rapidity separation, as proposed by Mueller and Navelet [1], is one of the most promising observables in order to reveal the high energy dynamics of QCD, described by the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach [2]

  • We study the production of two forward jets with a large interval of rapidity at hadron colliders, which was proposed by Mueller and Navelet as a possible test of the high energy dynamics of QCD, within a complete next-to-leading logarithm framework

  • We show that the inclusion of next-to-leading order corrections to the jet vertex significantly reduces the importance of energy-momentum non-conservation which is inherent to the BFKL approach, for an asymmetric jet configuration

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Summary

Introduction

The dijet production with large rapidity separation, as proposed by Mueller and Navelet [1], is one of the most promising observables in order to reveal the high energy dynamics of QCD, described by the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach [2]. It has demonstrated that the NLL corrections to the jet vertex have a very large effect, leading to a lower cross section and a much larger azimuthal correlation [7] These findings are very dependent on the choice of the scales, especially the renormalization scale μR and the factorization scale μF , a fact which remains true when using realistic kinematical cuts for LHC experiments [8]. This dependency can be reduced after using the Brodsky, Lepage and Mackenzie (BLM) scheme [9], leading to a very satisfactory description [10] of the most recent LHC data extracted by the CMS collaboration for the azimuthal correlations of these jets [11]. Our results are not affected, neither by energy-momentum conservation issues nor by potential contribution of multiparton interaction (MPI)

BFKL approach
Results: symmetric configuration and CMS data
Energy-momentum conservation
TeV and for a rapidity separation Y
Double parton scattering contribution to MN jets
Conclusions
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