  Future Circular Collider is one of the next generation energy-frontier
proton-proton colliders with 100 TeV center of mass energy and promising very
high luminosity. FCC will be an extraordinary machine for searching Beyond the
Standard Model physics because of its very high center of mass energy and
luminosity. Searching supersymmetric particles via R-parity violated
interactions could be listed in promising BSM physics at the FCC. Scalar tau
neutrino is one of the most interesting predictions. A search for
$\widetilde{\nu}_{\tau}$ neutrino decaying into $e\mu$ final state via R-parity
violated interactions has been conducted at the FCC-pp. It is seen from this
research that FCC-pp will be able to discover $\widetilde{\nu}_{\tau}$ up to
28.8 TeV, observe 32.0 TeV and exclude 34.5 TeV mass values by taking
$\lambda_{311}^{\prime}=0.11$ and $\lambda_{312}=\lambda_{321}=0.07$ at
$\mathcal{L}_{int}=17500\,fb^{-1}$. FCC-pp, also, will allow to examine very
low values of the Yukawa coupling constants which cause R-parity violation
interactions. It is obviously seen that FCC-pp will give an opportunity for
detailed research on scalar tau neutrino production and decay via R-parity
violated interactions.
