Measurement of branching fraction of ${D}_{s}^{*+}\to {D}_{s}^{+}{\pi }^{0}$ relative to ${D}_{s}^{*+}\to {D}_{s}^{+}\gamma $

Based on $7.33\text{}\text{}{\mathrm{fb}}^{-1}$ of ${e}^{+}{e}^{-}$ collision data taken at center-of-mass energies between 4.128 and 4.226 GeV with the BESIII detector, we measure the branching fraction of ${D}_{s}^{*+}\to {D}_{s}^{+}{\pi }^{0}$ relative to that of ${D}_{s}^{*+}\to {D}_{s}^{+}\gamma $ to be $\left(6.16±0.43±0.18\right)%$. The first uncertainty is statistical and the second one is systematic. By using the world average value of the branching fraction of ${D}_{s}^{*+}\to {D}_{s}^{+}{e}^{+}{e}^{-}$, we determine the branching fractions of ${D}_{s}^{*+}\to {D}_{s}^{+}\gamma $ and ${D}_{s}^{*+}\to {D}_{s}^{+}{\pi }^{0}$ to be $\left(93.57±0.38±0.22\right)%$ and $\left(5.76±0.38±0.16\right)%$, respectively.