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The Hidden Local Symmetry (HLS) Model provides a framework able to encompassseveral physical processes and gives a unfied description of these in an energyrange extending up to the $\phi$ mass. Supplied with appropriate symmetrybreaking schemes, the HLS Model gives a broken Effective Lagrangian (BHLS). TheBHLS Lagrangian gives rise to a fit procedure in which a simultaneousdescription of the $e^+ e^-$ annihilations to $\pi^+\pi^-$, $\pi^0 \gamma$,$\eta \gamma$, $\pi^+\pi^- \pi^0$, $K^+ K^-$, $K_L K_S$ and of the dipionspectrum in the decay $\tau^\pm \rightarrow \pi^\pm \pi^0 \nu$ can beperformed.  Supplemented with a few pieces of information on the $\rho^0-\omega-\phi$system, the $\tau$ dipion spectrum is shown to predict accurately the pion formfactor in $e^+ e^-$ annihilations. Physics results derived from global fitsinvolving or excluding the $\tau$ dipion spectra are found consistent with eachothers. Therefore, no obvious mismatch between the $\tau$ and $e^+e^- $ physicsproperties arises and the $\tau-e^+e^- $ puzzle vanishes within the broken HLSModel.

The HLS approach to $(g-2)_\mu$~: A Solution to the "$\tau$ versus $e^+e^- $" Puzzle