The pair $(X_{t},B_{t})$ is klt for $0<|t|\ll 1$. Further, there exist $\kappa_{\min}\in{\mathbb{Q}}$ and $d\in{\mathbb{N}}^{*}$ such that the rescaled measures

$$\mu_{t}:=\frac{e^{2\psi_{t}}}{|t|^{2\kappa_{\min}}(2\pi\log|t|^{-1})^{d}},$$

viewed as measures on $X^{\mathrm{hyb}}$, converge weakly, as $t\to 0$, to a finite positive measure $\mu_{0}$ on $X^{\mathrm{hyb}}_{0}=X_{{\mathbb{C}}(\!({t})\!)}^{\mathrm{an}}$.