For the record, they didn't actually find the Higgs Boson particle, they just found what they believe to be evidence that it exists.
Basically they smashed some really small particles together at the speed of light and found that they broke (No crap, right?) and that they can trace this Higgs Boson particle from the crash. They know it decays very fast because it is so unstable.
It is dubbed "The God Particle" because it supposedly proves how everything else in the universe got its mass. Whether or not it disproves religion is something these guys give zero shits about.
Basically, they found Bigfoot's footprint, so they claim Bigfoot exists, but they also know they'll never actually see or catch him.