  We propose to study at the Large Hadron Collider (LHC) the inclusive
production of a pair of hadrons (a "di-hadron" system) in a kinematics where
two detected hadrons with high transverse momenta are separated by a large
interval of rapidity. This process has much in common with the widely discussed
Mueller-Navelet jet production and can also be used to access the dynamics of
hard proton-parton interactions in the Regge limit. For both processes large
contributions enhanced by logarithms of energy can be resummed in perturbation
theory within the Balitsky-Fadin-Kuraev-Lipatov (BFKL) formalism with
next-to-leading logarithmic accuracy (NLA). The experimental study of di-hadron
production would provide with an additional clear channel to test the BFKL
dynamics. We present here the first theoretical predictions for cross sections
and azimuthal angle correlations of the di-hadrons produced with LHC
kinematics.
