Cartan超对称性与弱相互作用和电磁相互作用
Cartan's Supersymmetry and Weak and Electromagnetic Interactions
摘要：
本文将Cartan超对称模型应用于强子的弱相互作用。电磁流通过$G_{12},G_{123},G_{13},G_{132}$变换，并且当光子被$W^\pm$替换时，因子$(1-γ_5)$插入在$l \barν$或$\bar l ν$之间，并且当光子被$Z$替换时，因子$(1-γ_5)$插入在$l \bar l$或$ν\bar ν$之间。研究了Higgs玻色子$H^0$衰变为2 $γ$和$D_s(0^+)$衰变为$D_s(0^-)π$和$D_s(0^-)γ$的电磁流。讨论了$B\bar B$附近的玻色子是Higgs玻色子伙伴$h^0$的可能性。我们采用Dirac轻子中微子和Majorana夸克中微子，通过加入两个左手中微子而左手中微子不能被我们的电磁探测器探测到的右手中微子，构造了一个满足轻子扇区和夸克扇区的$Z_3$对称性的模型.
英文摘要：
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$(1-γ_5)$ is inserted between $l \barν$ or $\bar l ν$ when the photon is replaced by $W^\pm$, and between $l \bar l$ or $ν\bar ν$ when the photon is replaced by $Z$. Electromagnetic currents in the Higgs boson $H^0$ decay into 2$γ$ and $D_s(0^+)$ decay into $D_s(0^-)π$ and $D_s(0^-)γ$ in which leptons are replaced by quarks are also studied. A possibility that the boson near the $B\bar B$ theshold $χ_b(3P, 10.53$ 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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