Rare Z-decay into light pseudoscalar bosons in the simplest little Higgs model

Abstract

The simplest little Higgs model predicts a light pseudoscalar boson $\eta$ and opens up some new decay modes for $Z$-boson, such as $Z\to \bar{f}f\eta$, $Z\to \eta \eta \eta$, $Z\to \eta \gamma$ and $Z\to \eta gg$. We examine these decay modes in the parameter space allowed by current experiments, and find that the branching ratios can reach $10^{-7}$ for $Z\to \bar{b}b\eta$, $10^{-8}$ for $Z\to \bar{\tau }\tau \eta$, and $10^{-8}$ for $Z\to \eta \gamma$, which should be accessible at the GigaZ option of the ILC. However, the branching ratios can reach $10^{-12}$ for $Z\to \eta \eta \eta$, and $10^{-11}$ for $Z\to \eta gg$, which are hardly accessible at the GigaZ option.

12 pages, 5 figures

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• Hunting physics beyond the standard model with unusual $W^{\pm }$ and $Z$ decays
• On the $ZH\eta$ vertex in the simplest Little Higgs Model
• The lepton flavor violating decays $Z\to l_i{l}_j$ in the simplest little Higgs model