Interpreting the 3 TeV $WH$ Resonance as a $W^{\prime }$ boson

Abstract

Motivated by a local $3.2-3.4$ sigma resonance in $WH$ and $ZH$ in the ATLAS Run 2 data, we attempt to interpret the excess in terms of a $W^{\prime }$ boson in a $SU(2{)}_1\times SU(2{)}_2\times U(1{)}_X$ model. We stretch the deviation from the alignment limit of the Equivalence Theorem, so as to maximize $WH$ production while keeping the $WZ$ production rate below the experimental limit. We found a viable though small region of parameter space that satisfies all existing constraints on $W^{\prime }\to jj,t\bar{b},WZ$, as well as the precision Higgs data. The cross section of $W^{\prime }\to WH$ that we obtain is about $5-6$ fb.

Comments: 14 pages, 2 figures