Constraints of the $B_{\mu}/\mu$ solution due to the hidden sector renormalization

We investigate the validity of an idea that the $B_{\mu}$ problem is solvable via the renormalization effect in the strongly interacting hidden sector within the gauge mediated supersymmetry breaking scenario. Our analysis starts with a naive boundary condition, which is that the squared scalar masses experience $16\pi^2$ suppression. We use \texttt{softsusy} to get the low energy spectra of superparticles with the boundary condition at the scale ($\Lambda_{CFT}$) where the hidden sector is integrated out. We visit the low energy spectra and return to $\Lambda_{CFT}$ where the boundary conditions are given. We find that there is a sign problem, which seems to be generic.