Decay Correlations of Heavy Leptons in e + + e − → l + + l −
Decay Correlations of Heavy Leptons in e + + e − → l + + l −
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DOI：
10.1103/physrevd.4.2821
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发表时间：
1971-11
影响因子：
5
通讯作者：
Y. Tsai
中科院分区：
文献类型：
--
作者：
Y. Tsai
Assuming that leptons heavier than muons exist in nature, we consider their decay modes and the correlations between the decay products of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ in the colliding-beam experiment: ${e}^{+}+{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{l}^{+}+{l}^{\ensuremath{-}}$. Far above the threshold, the helicities of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ tend to be opposite to each other. Near the threshold the directions of spins of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ prefer to be parallel to each other, and the sum of the two spins prefers to be either parallel or anti-parallel to the direction of the incident electron. Because the parity conservation is violated maximally in the decays of ${l}^{+}$ and ${l}^{\ensuremath{-}}$, the angular distributions of decay products depend strongly on the spin orientation of the heavy leptons. Since the spins of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ are strongly correlated in the production, we found a strong correlation between the energy-angle distributions of the decay products of ${l}^{+}$ and ${l}^{\ensuremath{-}}$. The decay widths of ${l}^{\ensuremath{-}}$ into channels ${\ensuremath{\nu}}_{l}{\overline{\ensuremath{\nu}}}_{e}{e}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}{\ensuremath{\mu}}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{K}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{\ensuremath{\rho}}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{K}^{*}$, ${\ensuremath{\nu}}_{l}{A}_{1}$, ${\ensuremath{\nu}}_{l}Q$, and ${\ensuremath{\nu}}_{l}+\mathrm{hadron}$ continuum as functions of the mass of ${l}^{\ensuremath{-}}$ are estimated.
Assuming that leptons heavier than muons exist in nature, we consider their decay modes and the correlations between the decay products of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ in the colliding-beam experiment: ${e}^{+}+{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{l}^{+}+{l}^{\ensuremath{-}}$. Far above the threshold, the helicities of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ tend to be opposite to each other. Near the threshold the directions of spins of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ prefer to be parallel to each other, and the sum of the two spins prefers to be either parallel or anti-parallel to the direction of the incident electron. Because the parity conservation is violated maximally in the decays of ${l}^{+}$ and ${l}^{\ensuremath{-}}$, the angular distributions of decay products depend strongly on the spin orientation of the heavy leptons. Since the spins of ${l}^{+}$ and ${l}^{\ensuremath{-}}$ are strongly correlated in the production, we found a strong correlation between the energy-angle distributions of the decay products of ${l}^{+}$ and ${l}^{\ensuremath{-}}$. The decay widths of ${l}^{\ensuremath{-}}$ into channels ${\ensuremath{\nu}}_{l}{\overline{\ensuremath{\nu}}}_{e}{e}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}{\ensuremath{\mu}}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{K}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{\ensuremath{\rho}}^{\ensuremath{-}}$, ${\ensuremath{\nu}}_{l}{K}^{*}$, ${\ensuremath{\nu}}_{l}{A}_{1}$, ${\ensuremath{\nu}}_{l}Q$, and ${\ensuremath{\nu}}_{l}+\mathrm{hadron}$ continuum as functions of the mass of ${l}^{\ensuremath{-}}$ are estimated.