Simple non-Abelian extensions of the standard model gauge group and the diboson excesses at the LHC

The ATLAS collaboration reported excesses at around 2 TeV in the di-boson production decaying into hadronic final states. We consider the possibility of explaining the excesses with extra gauge bosons in two simple non-Abelian extensions of the Standard Model. One is the so-called $G(221)$ models with a symmetry structure of $SU(2{)}_1\otimes SU(2{)}_2\otimes U(1{)}_X$ and the other is the $G(331)$ models with an extended symmetry of $SU(3)_C\otimes SU(3)_L\otimes U(1)_X$\mathrm{.}The$W’$and$Z’$ bosons emerge after the electroweak symmetry is spontaneously broken. Two patterns of symmetry breaking in the $G(221)$ models are considered in this work: one is $SU(2)_L\otimes SU(2)_2 \otimes U(1)_X \to SU(2)_L\otimes U(1)_Y$,theotheris$SU(2)_1\otimes SU(2)_2 \otimes U(1)_Y \to SU(2)_L\otimes U(1)_Y$\mathrm{.}Thesymmetrybreakingofthe$G(331)$modelis$SU(3)_L\otimes U(1)_X \to SU(2)_L \otimes U(1)_Y$. We perform a global analysis of $W^{\mathrm{\prime }}$ and $Z^{\mathrm{\prime }}$ phenomenology in ten new physics models, including all the channels of $W^{\mathrm{\prime }}\mathrm{/}{Z}^{\mathrm{\prime }}$ decay. Our study shows that the leptonic mode and the dijet mode of $W^{\mathrm{\prime }}\mathrm{/}{Z}^{\mathrm{\prime }}$ decays impose a very stringent bound on the parameter space in several new physics models. Such tight bounds provide a useful guide for building new physics models to address on the diboson anomalies. We also note that the Left-Right and Lepton-Phobic models can explain the $3.4\sigma$ $WZ$ excess if the $2.6\sigma$ deviation in the $W^{+}{W}^{-}$ pair around 2~TeV were confirmed to be a fluctuation of the SM backgrounds.