2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182552The presence of the top-pions $π_{t}^{0,\pm}$ 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 $μ\to eγ$ on the free parameters of topcolor-assisted techicolor(TC2) models, we study the contributions of the neutral top-pion $π^{0}_{t}$ to the $LFV$ processes $μ^{+}μ^{-}\toτμ$ (or $τe$), $ γγ\toτμ$ (or $τe$), $e^{+} e^{-}\toτμ$, and $e γ\to e π_{t}^{0}\to e τμ(e)$ via the flavor changing ($FC$) couplings $π_{t}^{0}l_{i}l_{j}$ 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. DHigh Energy Physics - Phenomenologytext