Unitarity sum rules, three site moose model, and the ATLAS 2 TeV diboson anomalies

Abstract

We investigate $W^{\prime }$ interpretations for the ATLAS 2 TeV diboson anomalies. The roles of the unitarity sum rules, which ensure the perturbativity of the longitudinal vector boson scattering amplitudes, are emphasized. We find the unitarity sum rules and the custodial symmetry are powerful enough to predict various nontrivial relations among $WW{Z}^{\prime }$, $WZ{W}^{\prime }$, $WWh$, $W{W}^{\prime }h$ and $Z{Z}^{\prime }h$ coupling strengths in a model independent manner. We also perform surveys in the general parameter space of $W^{\prime }$ models and find the ATLAS 2 TeV diboson anomalies may be interpreted as a $W^{\prime }$ particle of the three site moose model, i.e., a Kaluza-Klein like particle in a deconstructed extra dimension model. It is also shown that the non standard-model-like Higgs boson is favored by the present data to interpret the ATLAS diboson anomalies as the consequences of the $W^{\prime }$ and $Z^{\prime }$ bosons.

14 pages, 5 figures; EWPT analysis added, references improved, version accepted in PRD

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