Derivative of self-intersection local time for multidimensional fractional Brownian motion

The existence condition $H<1\mathrm{/}d$ for first-order derivative of self-intersection local time for $d\ge 3$ dimensional fractional Brownian motion can be obtained in Yu (2021). In this paper, we show a limit theorem under the non-existence critical condition $H=1\mathrm{/}d$.