Search for the singlet vector-like lepton in Wντ channel at the TeV e+e− colliders

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In this paper, we perform a search for the vector-like leptons (VLLs) in [Formula: see text] channel at the future TeV [Formula: see text] colliders such as the International Linear Collider (ILC) with 1[Formula: see text]TeV and Compact Linear Collider (CLIC) with 1.5[Formula: see text]TeV. We divide the signal into two decay channels, that is the pure leptonic channel and the fully hadronic channel. Through a detailed detector simulation, we display the excluding and discovering capability of VLLs at the ILC and CLIC. Compared to the pure leptonic channel, we find that it is more promising to detect the VLLs in the fully hadronic channel.