ATLAS Diboson Excess from Stueckelberg Mechanism

Abstract

We discuss the diboson excess seen by the ATLAS detector around 2 TeV in the LHC run I at $\sqrt{s}=8$ TeV. We explore the possibility that such an excess can arise from a $Z^{\prime }$ boson which acquires mass through a $U(1{)}_X$ Stueckelberg extension. The corresponding $Z^{\prime }$ gauge boson is leptophobic with a mass of around 2 TeV and has interactions with $SU(2{)}_L$ Yang-Mills fields and gauge fields of the hypercharge. The analysis predicts $Z^{\prime }$ decays into $WW$ and $ZZ$ as well as into $Z\gamma$. Further three-body as well as four-body decays of the $Z^{\prime }$ such as $WWZ,WW\gamma ,WWZZ$ etc are predicted. In the analysis we use the helicity formalism which allows us to exhibit the helicity structure of the $Z^{\prime }$ decay processes in an transparent manner. In particular, we are able to show the set of vanishing helicity amplitudes in the decay of the massive $Z^{\prime }$ into two vector bosons due to angular momentum conservation with a special choice of the reference momenta. The residual set of non-vanishing helicity amplitudes are identified. The parameter space of the model compatible with the diboson excess seen by the ATLAS experiment at $\sqrt{s}=8$ TeV is exhibited. Estimate of the diboson excess expected at $\sqrt{s}=13$ TeV with 20 fb${}^{-1}$ of integrated luminosity at LHC run II is also given. It is shown that the $WW$, $ZZ$ and $Z\gamma$ modes are predicted to be in the approximate ratio $1:{\cos }^2{\theta }_W(1+\alpha {\tan }^2{\theta }_W{)}^2/2:(1-\alpha {)}^2{\sin }^2{\theta }_W/2$ where $\alpha$ is the relative strength of the couplings of hypercharge gauge fields to the couplings of the Yang-Mills gauge fields. Thus observation of the $Z\gamma$ mode as well as three-body and four-body decay modes of the $Z^{\prime }$ will provide a definite test of the model and of a possible new source of interaction beyond the standard model.

arXiv comment12 pages, 6 figures

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