LHC would-be $\gamma \gamma$ excess as a non-perturbative effect of the electro-weak interaction

Abstract

The recently reported would-be excess at $125GeV$ in invariant mass distribution of $\gamma \gamma$ and of $l^{+}{l}^{+}{l}^{-}{l}^{-}$ obtained in the course of the Higgs boson search at LHC is tentatively interpreted as a scalar bound state of two $W$. Non-perturbative effects of EW interaction obtained by application of Bogoliubov compensation approach lead to such bound state due to existence of anomalous three-boson gauge-invariant effective interaction. The application of this scheme gives satisfactory agreement with existing data without any adjusting parameter but the bound state mass $125GeV$, while $\sigma BR$ for $\gamma \gamma$ resonance is predicted to be twice more as the value for the SM Higgs. Decay channel $\gamma l^{+}{l}^{-}$ may serve as a decisive check of the interpretation.

6 pages, 4 figures. arXiv admin note: text overlap with arXiv:1110.3137

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