The Study of Triple Gauge Boson Anomalous Interactions via Process e\gamma\to W\nu. Leptonic W Decay Mode

We study possibilities to measure the triple anomalous W-boson couplings to photon in the $e\gamma \to W\nu$ process via its lepton decay channel (with the simplest signature). We found that in the study of the $W$ quadruple momentum $\lambda$ one can limit himself within a small region in phase space. A way to find this region is proposed. The obtained estimates for $\lambda$ at TESLA project are roughly twice better than anticipated for $e+e-$ mode. For $W$ anomalous magnetic momentum the discussed mode gives no improvements as compared $e+e-$ mode.