aid of $N > 1$. If tachyonic stop appears as $y_\nu$ gets larger, it would be easy to realise the maximal stop mixing by making the stop soft scalar mass sufficiently small.

![ $X_t / M_{\tilde t}$ as a function of $y_{\nu}$ for $B_N = 5  \times 10^{5} {\,\textrm{GeV}}$, $\rho = 0.1$, $\tan \beta = 10$. []{data-label="fig:XtMt"}](LambdaMt.eps){width="50.00000%"}

![ $X_t / M_{\tilde t}$ as a function of $y_{\nu}$ for $B_N = 5  \times 10^{5} {\,\textrm{GeV}}$, $\rho = 0.1$, $\tan \beta = 10$. []{data-label="fig:XtMt"}](LambdaXtMt.eps){width="50.00000%"}

Fig. \[fig:Higgsmass\] shows the contribution assisted by neutrino messengers, compared to the minimal gauge mediation which corresponds to $y_\nu=0$ with stop mass at around 1 TeV. In the minimal gauge mediation, the Higgs mass is computed to be at around $121 \sim 122$ GeV for $\tan \beta = 10 \sim 30$. For $y_\nu = 0.7$, the Higgs mass can be as large as $125 \sim 126$ GeV. 4 to 5 GeV gain in the Higgs mass is obtained in neutrino assisted gauge mediation. The gain does not look impressive but has an impact on allowed superparticle spectrum. In the absence of $A_t$ at the messenger scale as is the case in minimal gauge mediation, this extra 5 to 