We study a new method for detecting non-universal gauge bosons Z ′ via considering their effects on rare top decays. We calculate the contributions of the nonuniversal gauge bosons Z ′ predicted by topcolor-assisted technicolor (TC2) models and flavor-universal TC2 models on the rare top decays t −→ cV (V = g, γ, Z) and t −→ cl i l j (l i , l j = τ, µ, or e). We show that the branching ratios of these processes can be significantly enhanced. Over a sizable region of the parameter space, we have Br(t −→ cg) ∼ 10 −5 and Br(t −→ cτ τ ) ∼ 10 −7 , which may approach the observable threshold of near future experiments. Non-universal gauge bosons Z ′ may be detected via the rare top decay processes at the top-quark factories such as the CERN LHC.
In the framework of the topcolor-assisted technicolor (TC2) models, we study the production of the top-pions π 0 t , π ± t via the processes ep → γc → π 0 t c and ep → γc → π ± t b mediated by the anomalous top coupling tcγ. We find that the production cross section of the process ep → γc → π 0 t c is very small. With reasonable values of the parameters in TC2 models, the production cross section of the process ep → γc → π ±
In the context of topcolor-assisted technicolor (TC2) models, we consider the process e + e − → ννγ and calculate the cross section of this process at leading order.It is shown that the extra U (1) gauge boson Z ′ predicted by TC2 models can give significant contributions to the process e + e − → ν τντ γ, which may be detected in the future high energy linear e +
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