Y_EY_\nu^\dagger Y_\nu Y_E^\dagger
  \\
  &\delta m_{H_d}^2=-\frac{B_N^2}{(4 \pi)^4} {\rm Tr}[Y_EY_\nu^\dagger Y_\nu Y_E^\dagger].\end{split}$$]{}

By replacing $Y_E \to Y_E(1+\delta A_E)$, $Y_U \to Y_U(1+\delta A_U)$, and $Y_D \to Y_D(1+\delta A_D)$, we have following soft terms at one loop level, [$$\begin{split}&\delta A_E = -\delta Z_L \vert_{\theta^2},~~~\delta A_U = - \mathbb{I} \delta Z_{H_u} \vert_{\theta^2},
 \\
 &\delta A_D = 0,~~~\delta B = -  \delta Z_{H_u} \vert_{\theta^2}.\label{eq:msoft}\end{split}$$]{} Unlike gauge mediation, right-handed neutrino mediation generates one-loop $A-$terms, [$$\begin{split}&A_E = \frac{B_N}{16 \pi^2 } Y_{\nu}^\dagger Y_{\nu}
 \\
 &A_U = - {\rm Tr} A_E \times \mathbb{I}_{3 \times 3}
 \\
 &B = {\rm Tr} A_E.\end{split}$$]{}

While gauge mediation contributions are flavor universal, See-Saw Yukawa mediation is flavor dependent and one of the virtue of the gauge mediaion would disappear. In the absence of See-Saw Yukawa mediation, cLFV can appear when the messenger scale is higher than the right-handed neutrino Majorana mass scale. See-Saw Yukawa contributes to the slepton soft mass through the renormalization group equation (RGE) , [$$\begin{split}\mu\frac{d}{d\mu}m_L^2=\mu\frac{d}{d\mu}m_L^2\Big|_{\rm MGM}+\frac{1}{16\pi^2}\Big[(m_L^2 Y_\nu^\dagger Y_\nu+Y_\nu^\dagger Y_\nu m_L^2)+2(Y_\nu^\dagger m_N^2 Y_\nu +m_{H_u}^2Y_\nu^\dagger Y_\nu +\tilde{A}_\nu^\dagger \tilde{A}_\nu)\Big]\end{split}$$]{} which should be restricted by cLFV constraints [@Grossman:2011fz]. Here $\tilde{A}_\nu=A_\nu Y_\nu$ is used. Since $m_L^2$ is two-loop generated, cLFV effects are further loop suppressed (at three loop level). Unlike mSUGRA, this effect is known 