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

TL;DR

This paper proposes that the 125 GeV gamma-gamma excess observed at the LHC could be a non-perturbative bound state of W bosons, arising from anomalous EW interactions, offering an alternative to the Higgs boson interpretation.

Contribution

It introduces a non-perturbative approach using Bogoliubov compensation to explain the excess as a W-boson bound state, matching data without adjustable parameters except for the bound state mass.

Findings

Predicted gamma-gamma resonance cross-section is twice that of the SM Higgs.

Bound state mass is consistent with 125 GeV without parameter tuning.

Decay channel gamma + l+ l- provides a test for the hypothesis.

Abstract

The recently reported would-be excess at $125\, GeV$ 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 $125\,GeV$, 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.