is set to be $5 \times 10^5 {\,\textrm{GeV}}$. []{data-label="fig:phase"}](phase10.eps "fig:"){width="70.00000%"} ![ Phase diagrams indicating stop tachyonic and no EWSB region for $\tan \beta = 10$, $\tan \beta = 30$, respectively. $B_N$ is set to be $5 \times 10^5 {\,\textrm{GeV}}$. []{data-label="fig:phase"}](phase30.eps "fig:"){width="70.00000%"}

Higgs-messenger mixing through Higgs-messenger-messenger coupling or Higgs-Higgs-messenger coupling has been considered in [@Kang:2012ra; @Craig:2012xp]. In this case, we often encounter $A/m^2$ problem. To understand this, it is worth to emphasize that, the two-loop soft mass squared of the Higgs field $H_u$ which has direct coupling to messenger $\Phi$ has a structure of $m_{H_u}^2 \sim c \lambda^4-c^\prime \lambda^2 g^2$ where $\lambda$ is a coupling constant of Higgs and messenger fields and $g$ is the gauge coupling(s). On the other hand, the two-loop soft mass squared of fields $Q,\bar{U}$ which does not have a direct coupling with messenger has a form of $m_{Q_3,\bar{U}_3}^2 \sim -c_3\lambda^2 y_t^2$. This fact was extensively studied in [@Kang:2012ra]. For sufficiently large $\lambda$, large one-loop A terms are generated. At the same time, $m_{H_u}^2$ becomes positive so the soft mass of $H_u$ can be much larger than that in the pure gauge mediation. Moreover, the soft mass of $Q_3,\bar{U}_3$ can be much smaller. If the Higgs $H_u$ 