We present a study of the semileptonic decay D^0\rightarrow \pi^-\pi^0e^{+}\nu_{e} using an e^+e^- annihilation data sample of 7.93~\mathrm{fb}^{-1} collected at the center-of-mass energy of 3.773 GeV with the BESIII detector. The branching fraction of D^0\to \rho(770)^-e^+\nu_e is measured to be (1.439 \pm 0.033(\rm stat.) \pm 0.027(\rm syst.)) \times10^{-3}, which is... Show more