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Recently, new observables in LHC inclusive events with three tagged jets wereproposed. Here, we extend that proposal to events with four tagged jets. Theevents are characterised by one jet in the forward direction, one in thebackward direction with a large rapidity distance $Y$ from the first one andtwo more jets tagged in more central regions of the detector. In our setup,non-tagged associated mini-jet multiplicity is present and needs to beaccounted for by the inclusion of BFKL gluon Green functions. The projection ofthe cross section on azimuthal-angle components opens up the opportunity fordefining new ratios of correlation functions of the azimuthal angle differencesamong the tagged jets that can be used as probes of the BFKL dynamics.

Inclusive Four-jet Production at 7 and 13 TeV: Azimuthal Profile in Multi-Regge Kinematics