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Is the lepton flavour changing observable in $Z \to \mu^\pm + \tau^\mp$ decay?
High Energy Physics - Phenomenology · Submitted 10 Sep 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The ratio $\Gamma$(Z $\to \mu^{\mp} + \tau^{\pm})/\Gamma($Z $ \to \mu^{-} + \mu^{+})$ could be about $10^{-5}-10^{-6}$, in sharp contrast with the vanishingly small rate $\tau^{\pm}\to \mu^{\pm} + \gamma$ strongly suppressed by a quadratic power $(m_3^2-m_2^2)/ M_{\rm W}^2$.
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The abstract, sentence by sentence
Neutrino oscillations as suggested by the recent Super-Kamiokande result imply that lepton numbers could be violated, and Z$\to \mu^{\mp} +\tau^{\pm}$ is a typical manifestation. We point out that for this mode, the GIM cancelation is much milder with only a logarithmic behavior $\log (m_3 /m_2)$ where $m_j$ is the neutrino mass. The ratio $\Gamma$(Z $\to \mu^{\mp} + \tau^{\pm})/\Gamma($Z $ \to \mu^{-} + \mu^{+})$ could be about $10^{-5}-10^{-6}$, in sharp contrast with the vanishingly small rate $\tau^{\pm}\to \mu^{\pm} + \gamma$ strongly suppressed by a quadratic power $(m_3^2-m_2^2)/ M_{\rm W}^2$. Being complementary to neutrino oscillation experiments, measurements of Z$\to \mu^{\mp} +\tau^{\pm}$ -- which are at hand with the present colliders -- would give one more constraint to the lepton mixing angle $\sin 2\theta_{jk}$ and the neutrino mass ratio $m_j/m_k$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Neutrino oscillations as suggested by the recent Super-Kamiokande result imply that lepton numbers could be violated, and Z$\to \mu^{\mp} +\tau^{\pm}$ is a typical manifestation. | background 1.00 | 0.05 | 0.12 | hedged possibility 0.99 |
| s1 | We point out that for this mode, the GIM cancelation is much milder with only a logarithmic behavior $\log (m_3 /m_2)$ where $m_j$ is the neutrino mass. | result 0.88 | 0.75 | 0.13 | asserted 1.00 |
| s2 | The ratio $\Gamma$(Z $\to \mu^{\mp} + \tau^{\pm})/\Gamma($Z $ \to \mu^{-} + \mu^{+})$ could be about $10^{-5}-10^{-6}$, in sharp contrast with the vanishingly small rate $\tau^{\pm}\to \mu^{\pm} + \gamma$ strongly suppressed by a quadratic power $(m_3^2-m_2^2)/ M_{\rm W}^2$. | result 1.00 | 0.71 | 0.46 | hedged possibility 1.00 |
| s3 | Being complementary to neutrino oscillation experiments, measurements of Z$\to \mu^{\mp} +\tau^{\pm}$ -- which are at hand with the present colliders -- would give one more constraint to the lepton mixing angle $\sin 2\theta_{jk}$ and the neutrino mass ratio $m_j/m_k$. | interpretation 0.48 | 0.14 | 0.29 | hedged possibility 0.80 |
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Original abstract
Neutrino oscillations as suggested by the recent Super-Kamiokande result imply that lepton numbers could be violated, and Z$\to \mu^{\mp} +\tau^{\pm}$ is a typical manifestation. We point out that for this mode, the GIM cancelation is much milder with only a logarithmic behavior $\log (m_3 /m_2)$ where $m_j$ is the neutrino mass. The ratio $\Gamma$(Z $\to \mu^{\mp} + \tau^{\pm})/\Gamma($Z $ \to \mu^{-} + \mu^{+})$ could be about $10^{-5}-10^{-6}$, in sharp contrast with the vanishingly small rate $\tau^{\pm}\to \mu^{\pm} + \gamma$ strongly suppressed by a quadratic power $(m_3^2-m_2^2)/ M_{\rm W}^2$. Being complementary to neutrino oscillation experiments, measurements of Z$\to \mu^{\mp} +\tau^{\pm}$ -- which are at hand with the present colliders -- would give one more constraint to the lepton mixing angle $\sin 2\theta_{jk}$ and the neutrino mass ratio $m_j/m_k$.
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