First complete NLL BFKL calculation of Mueller Navelet jets at LHC

TL;DR

This paper presents the first complete next-to-leading order BFKL calculation of Mueller Navelet jets at the LHC, revealing significant corrections and a surprising similarity to DGLAP predictions in key observables.

Contribution

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

Findings

Both NLL corrections significantly impact observables.

Results show a strong similarity between BFKL and DGLAP predictions.

The azimuthal ratio <cos 2 phi>/<cos phi> differs notably between the two approaches.

Abstract

For the first time, a next-to-leading BFKL study of the cross section and azimuthal decorrellation of Mueller Navelet jets is performed, i.e. including 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 paper 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.