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Cartan’s Supersymmetry and Weak and Electromagnetic Interactions

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Abstract

We apply the Cartan’s supersymmetric model to the weak interaction of hadrons. The electromagnetic currents are transformed by G 12, G 123, G 13, G 132 and the factor\({(1-\gamma_5)}\) is inserted between \({l \bar\nu}\) or \({\bar l \nu}\) when the photon is replaced by \({W^\pm}\), and between \({l \bar l}\) or \({\nu\bar \nu}\) when the photon is replaced by Z. Electromagnetic currents in the Higgs boson H 0 decay into 2\({\gamma}\) and \({D_s(0^+)}\) decay into \({D_s(0^-)\pi}\) and \({D_s(0^-)\gamma}\) in which leptons are replaced by quarks are also studied. A possibility that the boson near the \({B\bar B}\) theshold \({\chi_b(3P, 10.53}\) GeV) is the Higgs boson partner h 0 is discussed. We adopt Dirac lepton neutrinos and Majorana quark neutrinos, and construct a model that satisfy the Z 3 symmetry of the lepton sector and the quark sector, by adding two right-handed neutrinos whose left-handed partner cannot be detected by our electro-magnetic detectors.

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  1. Graduate School of Teikyo University, 2-17-12 Toyosatodai, Utsunomiya, 320-0003, Japan

    Sadataka Furui

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  1. Sadataka Furui
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Furui, S. Cartan’s Supersymmetry and Weak and Electromagnetic Interactions. Few-Body Syst 56, 703–711 (2015). https://doi.org/10.1007/s00601-015-1016-6

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  • DOI: https://doi.org/10.1007/s00601-015-1016-6

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