Diphoton decay of the Higgs boson and new bound states of top and anti-top quarks

We consider the constraints, provided by the LHC results on Higgs boson decay into 2 photons and its production via gluon fusion, on the previously proposed Standard Model (SM) strongly bound state $S$ of 6 top quarks and 6 anti-top quarks. A correlation is predicted between the ratios $\kappa_{\gamma}$ and $\kappa_g$ of the Higgs diphoton decay and gluon production amplitudes respectively to their SM values. We estimate the contribution to these amplitudes from one loop diagrams involving the 12 quark bound state $S$ and related excited states using an atomic physics based model. We find two regions of parameter space consistent with the ATLAS and CMS data on ($\kappa_{\gamma}$, $\kappa_g$) at the 3 sigma level: a region close to the SM values ($\kappa_{\gamma}=1$, $\kappa_g =1$) with the mass of the bound state $m_S > 400$ GeV and a region with ($\kappa_{\gamma} \sim 3/2$, $\kappa_g \sim -3/4$) corresponding to a bound state mass of $m_S \sim 220$ GeV.