IF a particle were created in the collision which left through the 'cloud chamber' at greater than the speed of light, how would it be registered on the recording devices?The amount of energy needed to get that last fraction of the velocity of light exceeds the energy needed to get it to that near-light velocity in the first place (according to Albert). So it won't happen in this device. Probably. Even if the streams were headed in the same direction, crossing the streams would do something completely anti-intuitive, rather than imparting momentum to the frontmost billiard ball (as it were) and producing a tachyon which would register before the interaction took place. That would in itself be a monumental discovery -- but I'm pretty sure that, after a few years, we'll all be glad that the LHC was built in Europe with mostly European money.
F-theory will topple the Standard Model within the next ten years and be proven, too.