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

Abstract

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.

Comments: 27 pages and 4 figures