Next-to-leading BFKL evolution for dijets with large rapidity separation at different LHC energies

Abstract

The calculations based on the next-to-leading logarithm (NLL) approximation for the Balitsky-Fadin-Kuraev-Lipatov (BKFL) evolution are presented for the Mueller-Navelet (MN) dijet production cross section, as well as for their ratios at different collision energies. The MN dijet denotes the jet pair consists of jets, which were selected with $p_{\perp }>p_{\perp \min }$ and with maximal rapidity separation in the event. The NLL BFKL predictions for the MN cross sections are given for the $pp$ collisions at $\sqrt{s}=2.76$, $8$, and $13$ TeV, for $p_{\perp \min }=20$ and $35$ GeV. The results are in agreement with the measurement by the CMS experiment in $pp$ collisions at $\sqrt{s}=2.76$ TeV and $p_{\perp \min }=35$ GeV within the theoretical and experimental uncertainties. The predictions of the NLL BFKL calculation of ratios of the MN cross sections at different collision energies and $p_{\perp \min }$ are also presented.

8 pages, 5 figures

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• Dijets with a large rapidity separation in the next-to-leading order BFKL formalism for searches of large extra dimensions at colliders