Ok, I'll declare immediately my utter ignorance in these matters, which (for good or bad) goes along with great interest. So I'd like to ask for a clarification.
When I briefly studied black holes at high school, what I understood f their nature is that they're born of the gravitational collapse of stars at the end of their "life", which would create an enormous gravitational force sucking in even light.Is this more or less right?
That's true for astrophysical black holes, ones we find evidence by looking around the sky. There are those born in the gravitational collapse of stars, like you say, which are typically about the same mass as our sun (to maybe a dozen or so times that). There are also supermassive black holes at the centers of galaxies (it's thought pretty much all decent-size galaxies have them, and we have very good evidence that there is indeed one at the center of our Milky Way galaxy) that are millions of solar masses. No one knows precisely how these were formed, but it probably happened in the early universe.
So my understanding was that a Vast amount of matter, translated into gravitational energy, is needed for a black hole to come in existance. How come they can be created by the collision of such a small quantity of matter?
The question is, when is a certain amount of mass required by gravity to collapse into a point-like object, which is the black hole. The answer is that getting a certain amount of mass within a fixed radius causes collapse; this radius is bigger for bigger mass, and it's the radius of the final black hole. So a more massive black hole is larger in physical size.
So, you can have a black hole with a small mass if you can cram it into a tiny distance. With normal theories of gravity, this distance is incredibly tiny for subatomic particles (and more to the point, the energy/mass scales reached at the LHC). There are some proposed models in which gravity is actually secretly stronger than we thought (though still weaker than all the other forces) at the subatomic level. In that case, the distance needed wouldn't be quite so small, and black holes could be formed at the LHC. But, to put it mildly, these models are a real longshot to be good descriptions of reality.
One more comment. I'm not a "fanatic", nor an obscurantist, on the contrary I do study the nature of the world in my own, different, ways, and I am very curious about the new frontiers of science; I also understand there's not a reasonably chance that this experiment in particular will be immediately dangerous; but the fact, acknowledged, that scientists do not wish for the end of the world, does not render certain researches less potentially dangerous. After all, Einstein was a really nice guy, but his researches indirectly led to Atomic bombs, among other useful things.
Oh, sure, but the point is that these scientists have made quite sure that this work isn't dangerous. In addition, even if someone had an idea to make LHC-type research dangerous, it would be much harder to do this than, say, make an atomic bomb. For example, building the LHC took a multi-national effort about 20 years to build, and that was built using some pre-existing facilities.