Signals of a 2 TeV $W^{\mathrm{\prime }}$ boson and a heavier $Z^{\mathrm{\prime }}$ 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 $e^{+}{e}^{-}jj$, $jj$, $W{h}^0$ and $WZ$ channels in terms of a $W^{\mathrm{\prime }}$ 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 $W^{\mathrm{\prime }}$ 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 $Z^{\mathrm{\prime }}$ 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.