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arXiv · 1511.07774

Departure from the Standard Model of Meson Decays and Cartan's Supersymmetry

Sadataka Furui
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Abstract

The experimental decay branching ratios of mesons like $B_s\to \ell\bar \ell$ and $B_d\to \ell\bar \ell$ ($\ell=e$ or $μ$) do not agree completely with the standard model (SM). Cartan's supersymmetry predicts relation of the coupling of vector particles $x_μ, x_μ'$, ($μ=1,2,3,4$) to Dirac spinors of large components $ψ, ϕ$ and small components $\mathcal Cψ, \mathcal Cϕ$. In the decay of $B_d=\bar b d$, the Cabibbo-Kobayashi-Maskawa(CKM) model suggests that the contribution of $t$ quark dominates, while in the decay of $B_s=\bar b s$, contribution of $c$ quark in the intermediate state is expected to be large, since $s$ and $c$ quark belong to the same CKM sector. The relative strength of the $t$ quark and $c$ quark contribution in Cartan's supersymmetric model has more freedom than that of the SM. Together with the problem of enhancement of $B_d\to J/ΨK_0$ in high $Δt$ region, we can understand the problem of branching ratios of $B$ decay into $e\bar e$ and $μ\barμ$, if the Nature follows Cartan's supersymmetry.

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Sadataka Furui. 2015-10-23. Departure from the Standard Model of Meson Decays and Cartan's Supersymmetry. https://arxiv.org/abs/1511.07774

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