$W^{\prime }$ Boson near 2 TeV: Predictions for Run 2 of the LHC

We present a renormalizable theory that includes a $W^{\prime }$ 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 $e^{+}{e}^{-}jj$, $W{h}^0$, and $jj$ final states. The $W^{\prime }$ boson couples to right-handed quarks and leptons, including Dirac neutrinos with TeV-scale masses. This theory predicts a $Z^{\prime }$ boson of mass in the 3.4–4.5 TeV range. The cross section times branching fractions for the narrow $Z^{\prime }$ dijet and dilepton peaks at the 13 TeV LHC are 10 and 0.6 fb, respectively, for $M_{Z^{\prime }}=3.4\mathrm{TeV}$, and an order of magnitude smaller for $M_{Z^{\prime }}=4.5\mathrm{TeV}$.

Figure 1

Next-to-leading order cross sections for $W^{\prime }$ production at $\sqrt{s}=8$, 13, and 14 TeV, for $g_{\mathit{R}}=0.5$. The cross sections scale as $g_{\mathit{R}}^2$.

Figure 2

$Z^{\prime }$ production cross section times branching fractions as a function of $M_{Z^{\prime }}$, for $M_{W^{\prime }}=1.9\mathrm{TeV}$ at the 13 TeV LHC. Shaded bands correspond to $M_{W^{\prime }}$ in the 1.8–2.0 TeV range.