Cartan's Supersymmetry and Weak and Electromagnetic Interactions

TL;DR

This paper applies Cartan's supersymmetric model to weak and electromagnetic interactions, exploring decay processes, symmetry considerations, and the potential identification of a Higgs boson partner near the B meson threshold.

Contribution

It introduces a novel application of Cartan's supersymmetry to hadronic weak interactions and decay processes, proposing new symmetry structures and particle identifications.

Findings

Electromagnetic currents are transformed by specific operators.

Decay processes of Higgs and D_s particles are analyzed with quark-lepton replacements.

A hypothesis that a boson near the B meson threshold is a Higgs partner is discussed.

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.