A search for leptophilic Zl boson at future linear colliders

We study the possible dynamics associated with leptonic charge in future linear colliders. Leptophilic massive vector boson, Z(l), have been investigated through the process e(+)e(-) --> mu(+)mu(-). We have shown that ILC and CLIC will give opportunity to observe Z(l) with masses up to the center of mass energy if the corresponding coupling constant g(l) exceeds 10(-3).