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The top-pions($\Pi^{0,\pm}$) and the top-Higgs($H_{TC}$) are the typicalparticles predicted by the topcolor-assisted technicolor (TC2) model and theobservation of these particles can be regarded as the direct evidence of theTC2 model. In this paper, we study two pair production processes of these newparticles, i.e., $e^ + e^ - \to H_{TC}\Pi^0$ and $e^+e^-\to \Pi^+\Pi^-$. Theresults show that the production rates are at the level of serval fb for $e^ +e^ - \to H_{TC}\Pi^0$ and tens fb for $e^+e^-\to \Pi^+\Pi^-$. These processescan produce the adequate distinct multi-jet final states and the SM backgroundcan be efficiently reduced. So, with the high luminosity at the planned linearcolliders, the top-pions and top-Higgs can be observable via these two pairproduction processes without double.Comment: 15 pages, 3 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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HTCΠ0andΠ+Π−pair production at the planned