  In this work, the possible dynamics associated with leptophilic Z_l boson at
CLIC (Compact Linear Collider) have been investigated by using artificial
neural networks (ANNs). These hypotetic massive boson Z_l have been shown
through the process e+e- -> M+M-. Furthermore, the invariant mass distributions
for final muons have been consistently predicted by using ANN. For these highly
non-linear data, we have constructed consistent empirical physical formulas
(EPFs) by appropriate feed- forward ANN. These ANN-EPFs can be used to derive
further physical functions which could be relevant to studying Z_l.
