Abstract
Abstract More than 25 years ago, Mueller Navelet jets were proposed as a decisive test of BFKL dynamics at hadron colliders. We here study this process at NLL BFKL accuracy, taking into account NLL corrections to the Green’s function and to the jet vertices. We present detailed predictions for various observables that can be measured at LHC in ongoing experiments like ATLAS or CMS at $ \sqrt{s}=7 $ TeV: the cross-section, the azimuthal correlations and the angular distribution of these jets. For this purpose, we apply realistic kinematical cuts and binning, and study the dependence of our results with respect to several parameters. We then compare our results with those that can be obtained in a fixed order NLO treatment, and propose specific observables which could actually be used as a probe of BFKL dynamics.
Highlights
The Regge limit is expected to be governed by the soft perturbative dynamics of QCD, which we want to reveal, and not by its collinear dynamics
More than 25 years ago, Mueller Navelet jets were proposed as a decisive test of BFKL dynamics at hadron colliders
We compare our results with those that can be obtained in a fixed order NLO treatment, and propose specific observables which could be used as a probe of BFKL dynamics
Summary
We consider two hadrons (in practice protons) which collide at a center-of-mass energy s producing two very forward jets, whose transverse momenta are labeled by Euclidean two dimensional vectors kJ, and kJ,, and by their azimuthal angles φJ, and φJ,. The two partons produced by each of these two hadrons, which initiate the hard process, are treated in a collinear way. For large xJ, and xJ,, collinear factorization leads to a differential cross-section which reads dσ d|kJ,1| d|kJ,2| dyJ, dyJ,. Where fa,b are the parton distribution functions (PDFs) of a parton a (b) in the according proton, characterized by their longitudinal momentum fraction xi. The logarithmically enhanced contributions are taken care of by convoluting, in transverse momentum space, the BFKL Green’s function G with the two jet vertices, according to dσab d|kJ,1| d|kJ,2| dyJ, dyJ,. Combining the PDFs with the jet vertices, we can write dσ d|kJ,1| d|kJ,2| dyJ, dyJ,. In order to deal both with the cross-section and with the azimuthal decorrelation, it is convenient to define the coefficients.
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