Lepton flavor-violating processes in the simplest little Higgs model: ${e}^{+}{e}^{\ensuremath{-}}(\ensuremath{\gamma}\ensuremath{\gamma})\ensuremath{\rightarrow}{l}_{i}{\overline{l}}_{j}$ under new bound from ${l}_{i}\ensuremath{\rightarrow}{l}_{j}\ensuremath{\gamma}$

Lepton flavor-violating processes in the simplest little Higgs model: $e^{+} e^{-} (γ γ) \to l_{i} {\bar{l}}_{j}$ under new bound from $l_{i} \to l_{j} γ$

Lei Wang and Xiao-Fang Han

Phys. Rev. D 85, 013011 – Published 13 January 2012

Abstract

We study the lepton flavor-violating processes in the simplest little Higgs model. First, we examine the constraints on the relevant parameters from the rare decays $l_{i} \to l_{j} γ$ ( $i \neq j$ and $l_{i} = e, μ, τ$ ), especially for the latest data of $B r (μ \to e γ)$ . Then, we calculate the lepton flavor-violating processes $e^{+} e^{-} \to l_{i} {\bar{l}}_{j}$ and $γ γ \to l_{i} {\bar{l}}_{j}$ at the International Linear Collider and find that the simplest little Higgs model can produce significant contributions to these processes. The rates of $γ γ \to l_{i} {\bar{l}}_{j}$ can reach $O (1) fb$ in the parameter space allowed by the experimental data, which implies that these processes may be observed at the International Linear Collider.