We present a renormalizable theory that includes a $W$ boson of mass in the 1.8-2 TeV range, which may explain the excess events reported by the ATLAS Collaboration in a $WZ$ final state, and by the CMS Collaboration in $e^+!e^- jj$, $Wh^0$ and $jj$ final states. The $W$ boson couples to right-handed quarks and leptons, including Dirac neutrinos with TeV-scale masses. This theory predicts a $Z$ boson of mass in the 3.4-4.5 TeV range. The cross section times branching fractions for the narrow $Z$ dijet and dilepton peaks at the 13 TeV LHC are 10 fb and 0.6 fb, respectively, for $M_{Z}= 3.4$ TeV, and an order of magnitude smaller for $M_{Z}= 4.5$ TeV.
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