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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 $κ_γ$ and $κ_g$ 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 ($κ_γ$, $κ_g$) at the 3 sigma level: a region close to the SM values ($κ_γ=1$, $κ_g =1$) with the mass of the bound state $m_S > 400$ GeV and a region with ($κ_γ \sim 3/2$, $κ_g \sim -3/4$) corresponding to a bound state mass of $m_S \sim 220$ GeV.