Sleptons at LEP2 and Tevatron in R-Parity Violating SUSY

In supersymmetric theories with R-parity breaking, sleptons could be produced singly in $e^{+}{e}^{-}$ collisions at LEP2 and in $q\bar{q}$ annihilation at the Tevatron through interactions in which two quark or two lepton fields are coupled to a slepton field. At LEP they could manifest themselves in Bhabha scattering, and in the annihilation to ${\mu }^{+}{\mu }^{-}$, \taus, and $q\bar{q}$ pairs. The formation of sneutrinos, $e^{+}{e}^{-}\text{ra}\text{ti}\nu$, and their signals for a mass within the reach of this machine, is an exciting speculation which can be investigated in the coming LEP2 runs with energies close to $\sqrt{s}=200$ GeV. At the Tevatron the sleptons can be searched for as resonances in $p\bar{p}\to \tilde{\nu }\to {\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ and $\tilde{\mathrm{\ell }}\to \mathrm{\ell }\nu$ final states. Existing LEP2 and Tevatron data can be exploited to derive bounds on the Yukawa couplings of sleptons to quark and lepton pairs.