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We systematically calculate the isospin violating decay, $D_s^*\to D_s\pi^0$,with the heavy meson chiral perturbation theory up to $\mathcal{O}(p^3)$including the loop diagrams. The $\mathcal{O}(p^3)$ tree level amplitudescontain four undetermined LECs. We use two strategies to estimate them. Withthe nonanalytic dominance approximation, we get $\Gamma[D_s^\ast\toD_s\pi^0]=(3.38\pm0.12)$ eV. With the naturalness assumption, we give apossible range of the isospin violating decay width, $[1.11-6.88]$ eV. We findthat the contribution of the $\mathcal{O}(p^3)$ corrections might besignificant.

Isospin violating decay $D^*_s \to D_s \pi^0$ in chiral perturbation theory