As more evidence comes out showing that the Large Hadron Collider has located the Higgs boson (or some general Higgs-like particle), the next few years will focus largely on sifting through this evidence and refining the Standard Model of Particle Physics. They will conduct measurements from millions of particle collisions in the effort to more precisely define the physical properties of these Higgs-like particles (and the related Higgs field, which is the real object of interest).
But we humans are always looking toward the future, so a natural question is: What next?
Fortunately, the next thing is something that physics has been investigating since the 1970's, developed less than a decade after Peter Higgs came up with his Higgs mechanism. That thing?
Under this theory, all of the Standard Model particles (listed above in the graphic) would contain a counterpart. For each of the fermions (the leptons and quarks) there would be a counterpart that's a boson, and for each of the bosons (the force carriers) there would be a fermion counterpart. These "superpartners" as they are called would presumably (since we don't run into them in the normal course of existence) be unstable and rapidly decay, but it is certainly possible that the Large Hadron Collider could create them.
In fact, it's even possible that the refinements made based on our growing understanding of the Higgs boson & Higgs field parameters will tell us more precisely what energy levels to check out for some of these particles.
So don't worry, true believers ... there's still plenty of things for particle physicists to look for. That giant particle accelerator out in Switzerland isn't going to run out of work anytime soon.