Subject: Could there be new forces found due to SUSY?

The "dark matter" doesn't interact with our baryonic matter other than with
gravity.  Perhaps dark matter is composed of supersymmetric partners of the
Standard Model particles.  In any case, it is commonly presumed that these
particles don't interact with each other, either.  

I wonder: could these mystery particles indeed interact with each other--but not
with our normal stuff--using forces that don't affect our normal stuff?  That
is, the electric, strong, and weak forces don't affect dark matter so it behaves
in a ghostly way with respect to us.  But might there be X, Y, and Z forces
that, in an analogous way, affect dark matter but not ordinary matter?

If dark matter is indeed made up of SYSY particles, wouldn't the new Bosons cary
forces?

Re: Could there be new forces found due to SUSY?