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Cartan's Supersymmetry and the Decay of a $h^0$ with the mass $m_{h^0}\simeq 11$GeV to $Υ(1S)γ$ and to $Υ(nS)γ(n=1,2,3)$

In the LHCb detector at CERN, decays of $χ_b(3P)$ meson to $Υ(1S)γ$ and $Υ(2S)γ$ are reported at centre-of-mass energy of $\sqrt s=7$ and 8 TeV. Following the success of the assignment of $χ_b(1P)\toΥ(1S)γ$ of the mass of $m(χ_b(1P))=9.8923$ GeV and $χ_b(2P)\toΥ(1S)γ$ of the mass of $m(χ_b(2P))=10.2547$ GeV, the new state $χ_b(3P)$ of the mass of 10.5157 GeV was assigned, but its $J^{P}$ was not fixed. We study the possibility that this boson is the light Higgs boson $h^0(0^+)$, and study its decay modes to a $b\bar b$ which reduces to an $Υ(mS)$ ($m=1,2$ or 3) and $\bar q q$ which reduces to a $γ$, using the Cartan's supersymmetry. Recent non observation of polarizations of $Υ(nS)$ by the CMS collaboration is consistent with the theory.