  We propose a new type of Z polarization asymmetry in bottom-Z production at
LHC that should be realistically measurable and would provide the determination
of the so-called $A_b$ parameter, whose available measured value still appears
to be in disagreement with the Standard Model prediction. This polarization can
be measured independently of a possible existence of Supersymmetry. If
Supersymmetry is found, a second polarization, i.e. the top longitudinal
polarization in top-charged Higgs production, would neatly identify the $\tan
\beta$ parameter. In this case, the value of $A_b$ should be in agreement with
the Standard Model. If Supersymmetry does not exist, a residual disagreement of
$A_b$ from the Standard Model prediction would be a clean signal of New Physics
of "non Supersymmetric" origin.
