  In view of the recent measurement of the $F_L^{D^*}$ magnitude in the
$\bar{B} \to D^{*} \bar{\nu}_\tau \tau$ reaction we evaluate this magnitude
within the standard model and for a family of models with the $\gamma^\mu
-\alpha\gamma^\mu \gamma_5$ current structure for the quarks for different
values of $\alpha$. At the same time we evaluate also the transverse
contributions, $M=-1$, $M=+1$, and find that the difference between the $M=-1$
and $M=+1$ contributions is far more sensitive to changes in $\alpha$ than the
longitudinal component.
