Almost sure local wellposedness of energy critical fractional Schr\"odinger equations with hartree nonlinearity

We consider a Cauchy problem of energy-critical fractional Schr"odinger equation with Hartree nonlinearity below the energy space. Using a method of randomization of functions on ${\mathbb{R}}^d$ associated with the Wiener decomposition, introduced by '{A}. B'{e}nyi, T. Oh, and O. Pocovnicu \cite{beohpo1,beohpo2}, we prove that the Cauchy problem is almost surely locally well-posed. Our result includes Hartree Schr"odinger equation ($\alpha = 2$).