Well, they have gotten a piece of metal visible to the naked eye to be in two places at once (behave quantumly), so in the next 10-20 years should yield a lot of new insights.
BTW, with regards to cancer, it's easy to reduce cancer levels. Reduce cancer levels by approximately 30% by eliminating smoking. Reduce cancer rates another 10 to 15% by eliminating processed foods. There you go. You don't even need to prove the God Particle to do that.