  In this work, the possible dynamics of the massive leptonic photon \(Z_{l}\)
are reconsidered via the process \(e^{+}e^{-} \ rightarrow \mu^{+}\mu^{-}\) at
Compact Linear Collider (CLIC) with updated center of mass energies (\(380\
GeV,\ 1500\ GeV\ and\ 3000\ GeV\)). We show that the new generation colliders
as CLIC can observe massive leptophilic vector boson Z_l with mass up to the
center of mass energy, provided that leptonic coupling constant is \(g_{l} \geq
10^{- 3}\). In this study, we also estimated the cross-sections by artificial
neural networks using the theoretical results we obtained for CLIC. According
to the results obtained, it was seen that these predictions could be made
through machine learning.
