Scale choice and collinear contributions to Mueller–Navelet jets at LHC energies

Abstract

We investigate the stability under variation of the renormalization, factorization and energy scales entering the calculation of the cross section, at next-to-leading order in the BFKL formalism, for the production of Mueller-Navelet jets at the Large Hadron Collider, following the experimental cuts on the tagged jets. To find optimal values for the scales involved in this observable it is possible to look for regions of minimal sensitivity to their variation. We show that the scales found with this logic are more natural, in the sense of being more similar to the squared transverse momenta of the tagged jets, when the BFKL kernel is improved with a resummation of collinear contributions than when the treatment is at a purely next-to-leading order. We also discuss the good perturbative convergence of the ratios of azimuthal angle correlations, which are quite insensitive to collinear resummations and well described by the original BFKL framework.

The high-energy radiation pattern from BFKLex

“…Application of the above resummation in various phenomenological works (not based on Monte Carlo techniques) show agreement with experimental analyses [26,27,28,29,30,31,32,33,34,35].…”

Monte Carlo study of double logarithms in the smallxregion

“…(2). In this case it was shown in [1] that this resums to a Bessel function of the first kind (this approach, in γ-space, has already been successfully applied in many phenomenological applications [23,24,25,26,27,28,29,30,31]). A similar conclusion has recently been reached in coordinate space in [32].…”

Sudakov resummations in Mueller-Navelet dijet production

“…In order to quantitatively compare with data for Mueller-Navelet jets, one needs to compute the oneloop diagrams and also include the next-to-leading order(NLO) contributions, besides the correction from the NLO BFKL evolution [5]. This has been intensively studied in the last two decades by several groups [6][7][8][9][10][11][12]. Reasonably good agreement between the NLO calculation and the CMS data has been achieved [13][14][15][16].…”