Triality selection rules of Octonion and Quantum Mechanics
  We apply the Cartan's supersymmetric model to the electromagnetic and weak interaction of leptons and hadrons, and study dynamics of $\pi^0,\eta,\eta'$ meson and Higgs boson. We adopt the Clifford algebra, express Pauli spinors by quaternions, Dirac spinors by octonions, and take into account the supersymmetric transformations $G_{ij}$ and $G_{ijk}$ of Cartan.   When Higgs boson is assigned as Cartan's spinor pairs $\Psi=\bar\psi\psi$ or $\Phi=\bar\phi\phi$, its decay into $\gamma\gamma\gamma\gamma$ does not occur, but there appear 8 diagrams of $\Psi\to\gamma\gamma$ and 8 diagrams of $\Phi\to\gamma\gamma$.   If our world matter makes 4.6\% of the total matter, and we can interpret the matter transformed by $G_{23},G_{12},G_{123},G_{13}, G_{132}$ or about 5 times of our matter, i.e. 23\% corresponds to dark matter.   We can assign the world transformed by $G_{12}, G_{123}, G_{13}$ and $G_{132}$, which make about 2/3 of the total corresponds to the dark energy. Experimentally, 72\% of the total matter corresponds to dark energy. 
Sadataka Furui
hep-ph