The rate of $\mathbb{F}$-convergence for Ricci flows with closed and smooth tangent flows

This article is a continuation of [CMZ21b], where we proved that a Ricci flow with a closed and smooth tangent flow has unique tangent flow, and its corresponding forward or backward modified Ricci flow converges in the rate of $t^{-\beta }$ for some $\beta >0$. In this article, we calculate the corresponding $\mathbb{F}$-convergence rate: after being scaled by a factor $\lambda >0$, a Ricci flow with closed and smooth tangent flow is $|\log \lambda|^{-\theta}$closetoitstangentflowinthe$$\mathbb{F}$$-sense,where$\theta$isapositivenumber,$\lambda\gg 1$intheblow-upcase,and$\lambda\ll 1$ in the blow-down case.