Searching for the light leptophilic gauge boson $Z_x$ via four-lepton final states at the CEPC

Abstract

We investigate the possibility of detecting the leptophilic gauge boson $Z_x$ predicted by the $U(1{)}_{L_e-L_{\mu }}$ model via the processes $e^{+}{e}^{-}\to {\ell }^{+}{\ell }^{-}{Z}_x(Z_x\to {\ell }^{+}{\ell }^{-})$ and $e^{+}{e}^{-}\to {\ell }^{+}{\ell }^{-}{Z}_x(Z_x\to {\nu }_{\ell }\overline{{\nu }_{\ell }})$ at the Circular Electron Positron Collider (CEPC) with the center of mass energy $\sqrt{s}=240$ GeV and the luminosity $\mathcal{L}=5.6$ $\mathrm{a}{\mathrm{b}}^{-1}$. We give the expected sensitivities of the CEPC to the parameter space at $1\sigma$, $2\sigma$, $3\sigma$ and $5\sigma$ levels.

arXiv comment20 pages, 22 figures

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