As the existence of those particles goes, there were already understood to be metals which decayed, they had been tested for quite a while, and are found rather plentiful on earth. What they're into a CERN may be plentiful, and maybe now that we've seen them a few times, we'll learn how to find them.
But my first instinct is to suggest that you're trying to pry under an elephant with a sippy straw.
It's not that there isn't anything down there, it's that the tools we can concoct simply don't look like they'll be holding against the "weight" of this order of the universe, in any fashion as to get more than the straw under his outside skin. Obviously, if we learn to levitate the elephant, or can tickle him to move, maybe we'll see more. Then again, bending in front of an elephant's foot you're tickling may have consequences you didn't want.