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We have searched for a light vector boson $U$, the possible carrier of a"dark force", with the KLOE detector at the DA$\Phi$NE \epm\ collider,motivated by astrophysical evidence for the presence of dark matter in theuniverse. Using \epm\ collisions collected with an integrated luminosity of$239.3$~pb$^{-1}$, we look for a dimuon mass peak in the reaction \epm\to$\mu^+\mu^-$\gam, corresponding to the decay $U\to\mu^+\mu^-$. We find no evidencefor a $U$ vector boson signal. We set a 90\% CL upper limit for the mixingparameter squared between the photon and the $U$ boson of 1.6$\times$10$^{-5}$to 8.6$\times$10$^{-7}$ for the mass region $520<m_{\rm U}<980$ MeV.

Search for light vector boson production in $e^+e^- \rightarrow \mu^+ \mu^- \gamma$ interactions with the KLOE experiment