Leptonic anomalous gauge couplings detection on electron positron colliders

We studied the dimension-6 leptonic anomalous gauge couplings in the formulation of linearly realized gauge symmetry effective Lagrangian and investigated the constraints on these anomalous couplings from the existed experimental data including LEP2 and $W$/$Z$ boson decay. Some bounds of $O(0.1-10){\mathrm{T}\mathrm{e}\mathrm{V}}^{-2}$ on four relevant anomalous couplings are given by the Z factories. We studied the sensitivity of testing the leptonic anomalous couplings via the process $e^{+}{e}^{-}\to W^{+}{W}^{-}$ at future $e^{+}{e}^{-}$ linear colliders. We discussed different sensitivities to anomalous couplings at polarized and unpolarized $e^{+}{e}^{-}$ colliders, respectively, with 500 GeV and 1 TeV collision energy. Our results show that the a 500 GeV ILC can provide a test of the anomalous couplings, with the same relative uncertainty of cross section measurement, of $O(0.1-1){\mathrm{T}\mathrm{e}\mathrm{V}}^{-2}$, and a 1 TeV ILC can test the anomalous couplings of $O(0.01-0.1){\mathrm{T}\mathrm{e}\mathrm{V}}^{-2}$.