  Just in months ahead, the first high luminosity collisions of two polarized
proton beams are expected to occur at RHIC in BNL at sqrt{s} up to 500 GeV,
bringing a new quality to the collider physics. In collisions of polarized
particles, the presence of two axial vectors of initial polarizations, fully
controlled by experimenters, may dramatically increase the number of available
for tests correlations between participating vectors, generating asymmetries
that could relatively easily be measured. In frame of Standard Model (SM), many
of these asymmetries are either strongly suppressed or strictly prohibited.
Therefore, if some of them were found nonzero, this could be an indication of a
new physics beyond SM. If certain criteria met, it might be difficult to
explain the observed nonzero correlations in theories without CP- and/or
T-violation.
