Lepton flavor violating signals of the neutral top-pion in future lepton colliders

Abstract

The presence of the top-pions $\ddot{I}{€}_t^{0,\pm }$ in the low-energy spectrum is an inevitable feature of the topcolor scenario. Taking into account the constraints of the present experimental limit of the lepton flavor violating($LFV$) process $\hat{I}¼\to e{\hat{I}}^3$ on the free parameters of topcolor-assisted techicolor(TC2) models, we study the contributions of the neutral top-pion $\ddot{I}{€}_t^0$ to the $LFV$ processes $\hat{I}{¼}^{+}\hat{I}{¼}^{-}\to \ddot{I}„\hat{I}¼$ (or $\ddot{I}„e$), ${\hat{I}}^3{\hat{I}}^3\to \ddot{I}„\hat{I}¼$ (or $\ddot{I}„e$), $e^{+}{e}^{-}\to \ddot{I}„\hat{I}¼$, and $e{\hat{I}}^3\to e\ddot{I}{€}_t^0\to e\ddot{I}„\hat{I}¼(e)$ via the flavor changing ($FC$) couplings $\ddot{I}{€}_t^0{l}_i{l}_j$ and discuss the possibility of searching for the $LFV$ signals via these processes in future lepton colliders.

References added, some typos corrected. Version to be published in Phys. Rev. D