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New evidence for the BFKL dynamics in Mueller-Navelet dijet production via matching of the RG-invariant solution with high-energy factorization

A. A. Chernyshev, M. A. Nefedov, V. A. Saleev

Abstract

We study the effects of matching of the high-energy resummation based on the BFKL equation with initial state radiation effects, taken into account within the framework of high-energy factorization, in the production of Mueller-Navelet dijets at hadron colliders. We use the RG-invariant solution of the NLO BFKL equation built out of eigenfunctions perturbatively constructed up to NLO to avoid the need for special renormalization scale setting. We demonstrate that various data sets from the FNAL Tevatron and CERN LHC can be described in this way and both the initial state radiation effects of the high-energy factorization and the NLL BFKL resummation are crucial for the uniform description of the data across all values of the rapidity difference between the jets. The behaviour of angular distributions and ratios of angular coefficients with increasing rapidity separation between the jets provides clear evidence for the NLL BFKL dynamics at the Tevatron and LHC.

New evidence for the BFKL dynamics in Mueller-Navelet dijet production via matching of the RG-invariant solution with high-energy factorization

Abstract

We study the effects of matching of the high-energy resummation based on the BFKL equation with initial state radiation effects, taken into account within the framework of high-energy factorization, in the production of Mueller-Navelet dijets at hadron colliders. We use the RG-invariant solution of the NLO BFKL equation built out of eigenfunctions perturbatively constructed up to NLO to avoid the need for special renormalization scale setting. We demonstrate that various data sets from the FNAL Tevatron and CERN LHC can be described in this way and both the initial state radiation effects of the high-energy factorization and the NLL BFKL resummation are crucial for the uniform description of the data across all values of the rapidity difference between the jets. The behaviour of angular distributions and ratios of angular coefficients with increasing rapidity separation between the jets provides clear evidence for the NLL BFKL dynamics at the Tevatron and LHC.

Paper Structure

This paper contains 1 section, 13 equations, 4 figures.

Table of Contents

  1. End Matter materials

Figures (4)

  • Figure 1: Different observables related to the MN dijet production. Several contributions are shown: HEF (solid line with yellow band), BFKL${}^{(0)}$ (red dotted line), LO BFKL (dashed line), and NLO BFKL (dot-dashed line with blue band). The data are from CMS CMS:1CMS:2CMS:3 and D$\O$D0:1 Collaborations.
  • Figure 2: Different HSCs in Eq. (\ref{['eq:BFKL3']}) plotted on the rapidity axis. Dashed lines denotes Reggeized gluons.
  • Figure 3: The (a) characteristic function (\ref{['eq:GBFKL1']}) at $\text{Re}\,\gamma=1/2$ as function of $\text{Im}\,\gamma$ for $n = 0$ and $\bar{\alpha}_s = 0.2$ and (b) intercept dependence on $\mu_R$. Several options are shown: LO (dashed line), NLO (dot-dashed line), and CI NLO (solid line).
  • Figure 4: The plots of the LL and NLL Green's function (\ref{['eq:GBFKL']}). In all plots except the ones showing the $\Delta\psi$-dependence, the function is averaged over $\Delta\psi$ is plotted. The value $\mu_R = 10$ GeV is fixed, except the case of the dependence on it.