  The Hidden Local Symmetry (HLS) Model provides a framework able to encompass
several physical processes and gives a unfied description of these in an energy
range extending up to the $\phi$ mass. Supplied with appropriate symmetry
breaking schemes, the HLS Model gives a broken Effective Lagrangian (BHLS). The
BHLS Lagrangian gives rise to a fit procedure in which a simultaneous
description 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 dipion
spectrum in the decay $\tau^\pm \rightarrow \pi^\pm \pi^0 \nu$ can be
performed.
  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 form
factor in $e^+ e^-$ annihilations. Physics results derived from global fits
involving or excluding the $\tau$ dipion spectra are found consistent with each
others. Therefore, no obvious mismatch between the $\tau$ and $e^+e^- $ physics
properties arises and the $\tau-e^+e^- $ puzzle vanishes within the broken HLS
Model.
