Searching for a leptophilic Z${}^{\prime }$ and a 3-3-1 symmetry at CLIC

We derive the discovery potential of a leptophilic Z${}^{\prime }$, and a Z${}^{\prime }$ rising from a SU(3)${}_C$ × SU(3)${}_L$ × U(1)${}_N$ symmetry at the Compact Linear Collider (CLIC), which is planned to host $e^{+}{e}^{-}$ collisions with 3 TeV center-of-mass energy. We perform an optimized selection cut strategy on the transverse momentum, pseudorapidity, and invariant mass of the dileptons in order to enhance the collider sensitivity. We find that CLIC can potentially reach a 5σ signal of a 1-5 TeV leptophilic Z${}^{\prime }$ with less than 1 fb${}^{-1}$ of integrated luminosity in the most favorable cases. As for the Z${}^{\prime }$ belonging to a 3-3-1 symmetry, CLIC will offer a complementary probe with the potential to impose M${}_{Z^{\prime }}$ > 3 TeV with $L$ = 2 fb${}^{-1}$.