CP-violating gauge-boson couplings in the process e(+)e(-)->mu(+)mu(-)nu(nu)over-bar at a next linear collider

We study the sensitivity of a 500-GeV e(+)e(-) linear collider to CP-violat ing anomalous gauge-boson couplings. We find that, with an integrated lumin osity of 50 fb(-1), and with only one nonzero coupling at a time, the proce ss e(+)e(-) --> W+W- can be used to set the 95%-confidence-level bounds \(k ) over tilde(gamma)\ less than or equal to 01, \(k) over tilde(Z)\ less tha n or equal to 0.1, and \g(4)(Z)\ less than or equal to 0.1 from CP-even obs ervables. By studying certain distributions in the process e(+)e(-) --> mu( +)mu(-)nu<(nu)over bar>, one of the bounds can be improved to \g4Z\ less th an or equal to 0.06. This process also allows the construction of a CP-odd observable that can be used to set bounds on CP-violating new physics. At a 95% confidence level, we have obtained \(k) over tilde(gamma)\ less than o r equal to 0,3, \(k) over tilde(Z)\ less than or equal to 0.2, and a much w eaker bound on \g(4)(Z)\.