Leptonic anomalous gauge couplings detection on electron positron colliders

Abstract

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 existing experimental data, including LEP2 and $W/Z$ boson decay. Some loose bounds of $O(0.1--10)\text{ }\text{ }{\mathrm{TeV}}^{\ensuremath{-}2}$ on four relevant anomalous couplings are given by the $Z$ factories. We studied the sensitivity of testing the leptonic anomalous couplings via the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{W}^{+}{W}^{\ensuremath{-}}$ at future ${e}^{+}{e}^{\ensuremath{-}}$ linear colliders. We discussed different sensitivities to anomalous couplings at polarized and unpolarized ${e}^{+}{e}^{\ensuremath{-}}$ colliders, respectively, with 500 GeV and 1 TeV collision energy. Our results show that the 500 GeV International Linear Collider (ILC) can provide a test of the anomalous couplings, with the same relative uncertainty of cross section measurement, of $O({10}^{\ensuremath{-}3}--{10}^{\ensuremath{-}2})\text{ }\text{ }{\mathrm{TeV}}^{\ensuremath{-}2}$, and a 1 TeV ILC can test the anomalous couplings of $O({10}^{\ensuremath{-}4}--{10}^{\ensuremath{-}3})\text{ }\text{ }{\mathrm{TeV}}^{\ensuremath{-}2}$.