Hadronic spectrum of the $\tau^-\rightarrow \pi^-\pi^0\nu$ decay

We describe a study of the invariant mass spectrum of the hadronic system in the $\tau^- \to \pi^-\pi^0\nu$ decay, using the BaBar detector at SLAC. We describe how the $\pi^-\pi^0$ spectral function inferred from the invariant mass spectrum can be used as a test of the Conserved Vector Current hypothesis. We also discuss the implications of our study in estimating the hadronic contribution to the muon anomalous magnetic moment.