I wonder if some quantum gravity effects could be detected at LHC. In particular my understanding is that relativistic energy will add up to the gravity interaction between protons. I am curious if it could be detected by an experiment.
The energies generated at LHC are far too low to detect any direct quantum gravity effects. The recent discovery of Higgs boson at LHC can be related to the following quantum gravity theory in the sense that this is the only quantum gravity theory that can generate the entire table of standard model particles (including Higgs boson) from a single formula.