On a possibility of a consistent interpretation of diboson excesses at LHC

Abstract

Recently reported diboson and diphoton excesses at LHC are interpreted to be connected with heavy $WW$ zero spin resonances. The resonances appears due to the wouldbe anomalous triple interaction of the weak bosons, which is defined by well-known coupling constant $\lambda$. The $2\, TeV$ anomaly tentatively corresponds to weak isotopic spin 2 scalar state and the $\gamma\gamma\,\,750\, GeV$ anomaly corresponds to weak isotopic spin 0 pseudoscalar state. We obtain estimates for the effect, which qualitatively agree with ATLAS data. Effects are predicted in a production of $W^+ W^-, (Z,\gamma) (Z,\gamma)$ via resonance $X_{PS}$ with $M_{PS} \simeq 750\,GeV$, which could be reliably checked at the upgraded LHC at $\sqrt{s}\,=\,13\, TeV$. In the framework of an approach to the spontaneous generation of the triple anomalous interaction its coupling constant is estimated to be $\lambda = -\,0.02\pm 0.005$ in an agreement with existing restrictions. Specific predictions of the hypothesis are significant effects in decay channels $X_{PS} \to \gamma\,l^+\,l^-\,, X_{PS} \to l^+\,l^-\,\,l^+\,l^-\,(l = e,\,\mu)$.