The first complete NLL BFKL study of Mueller Navelet jets at LHC

TL;DR

This paper presents the first comprehensive next-to-leading order BFKL analysis of Mueller Navelet jets at the LHC, revealing significant corrections and similarities to DGLAP predictions, with notable differences in azimuthal ratios.

Contribution

It provides the first complete NLL BFKL calculation of Mueller Navelet jets, including both Green's function and vertex corrections, and compares results with DGLAP approaches.

Findings

Both NLL corrections significantly impact observables.

Results show similarity between BFKL and DGLAP predictions for most observables.

The ratio <cos 2φ>/<cos φ> remains a key difference.

Abstract

We report on the first next-to-leading BFKL study of the cross section and azimuthal decorrellation of Mueller Navelet jets. This includes next-to-leading corrections to the Green's function as well as next-to-leading corrections to the Mueller Navelet vertices. The obtained results for standard observables proposed for studies of Mueller Navelet jets show that both sources of corrections are of equal and big importance for final magnitude and final behavior of observables, in particular for the LHC kinematics investigated here in detail. The astonishing conclusion of our analysis is that the observables obtained within the complete next-lo-leading order BFKL framework of the present contribution are quite similar to the same observables obtained within next-to-leading logarithm DGLAP type treatment. The only noticeable difference is the ratio the azimuthal angular moments < cos 2 phi> / < cos phi > which still differs in both treatments.