Quote Originally Posted by E-Stat
Why do you suppose there are zero high performance cars available today using CVTs?

rw
I have no answer for that question, however this blog from wikipedia makes it quite clear that it is not because of performance, specifically it says
F500 uses an advanced Continuously Variable Transmission (CVT), similar to that used in F1 racing snowmobiles.
These advanced belt driven automatic transmissions are tuned to optimize the power curve of a two stroke engine, constantly keeping the engine at its peak power. One of the key benefits of the CVT is that it is a stepless transmission. This allows all of the engine's power to be transmitted to the drive wheels at all times
Therefore, there is no reason to suppose that the transmission cannot be adapted for F1 if they were not banned.