Diboson excess and $Z'$-predictions via left-right non-linear Higgs

Abstract: The excess events reported by the ATLAS Collaboration in the $WZ$-final state, and by the CMS Collaboration in the $e^+!e^- jj$, $Wh$ and $jj$-final states, may be induced by the decays of a heavy boson $W'$ in the 1.8-2 TeV mass range, here modelled via the larger local group $SU(2)L\times SU(2)_R\times U(1){B-L}$ in a non-linear dynamical Higgs scenario. The $W'$-production cross section at the 13 TeV LHC is around 700-1200 fb. This framework also predicts a heavy $Z'$ boson with a mass of 2.5-4 TeV, and some decay channels testable in the LHC Run II. We determine the cross section times branching fractions for the dijet, dilepton and top-pair $Z'$-decay channels at the 13 TeV LHC around 2.3, 7.1, 70.2 fb respectively, for $M_{Z'}= 2.5$ TeV, while one/two orders of magnitude smaller for the dijet/dilepton and top-pair modes at $M_{Z'}= 4$ TeV. Non-zero contributions from the effective operators, and the underlying Higgs sector of the model, will induce sizeable enhancement in the $W^+W^-$ and $Z h$-final states that could be probed in the future LHC Run II.