The idea of unparticles comes from conjecturing that there may be "stuff" that does not necessarily have zero mass but is still scale-invariant, with the same physics regardless of a change of length (or equivalently energy).
One of the great hopes for the LHC is that it might come up with some discoveries that will help us update or replace our best description of the particles that make up matter and the forces that glue them together.
By looking at the same interaction many times, a probability distribution is built up that tells more specifically how many and what sort of neutrinos are involved.
This scale invariant sector would interact very weakly with the rest of the Standard Model, making it possible to observe evidence for unparticle stuff, if it exists.
Unparticle physics has been proposed as an explanation for anomalies in superconducting cuprate materials,[4] where the charge measured by ARPES appears to exceed predictions from Luttinger's theorem for the quantity of electrons.