Signals of a 2 TeV $W'$ boson and a heavier $Z'$ boson

We construct an $SU(2)_L\times SU(2)_R\times U(1)_{B-L}$ model with a Higgs sector that consists of a bidoublet and a doublet, and with a right-handed neutrino sector that includes one Dirac fermion and one Majorana fermion. This model explains the Run 1 CMS and ATLAS excess events in the $e^+e^-jj$, $jj$, $Wh^0$ and $WZ$ channels in terms of a $W'$ boson of mass near 1.9 TeV and of coupling $g_R$ in the 0.4--0.5 range, with the lower half preferred by limits on $t \bar b$ resonances and Run 2 results. The production cross section of this $W'$ boson at the 13 TeV LHC is in the 700--900 fb range, allowing sensitivity in more than 17 final states. We determine that the $Z'$ boson has a mass in the 3.4--4.5 TeV range and several decay channels that can be probed in Run 2 of the LHC, including cascade decays via heavy Higgs bosons.