A new generation of large underground neutrino detectors will be constructed in the coming years with heightened sensitivity to a wide range of possible proton and neutron decay modes, including many suggested by supersymmetric grand unified theory models. On the other hand, searches at the LHC have pushed up the experimental lower limits on the masses of many sparticle species, while direct searches have improved upper limits on dark matter scattering cross sections, at least in models with some simplifying assumptions. These developments have a relevant implication: the absence of direct evidence of supersymmetry gives an added motivation to indirect searches, e.g., via proton decay.
We uncover the requirements in SU(5) supersymmetric models to be in agreement with all of the current observations. In many cases, we find that the next generation of underground detectors should be able to probe models with sparticle masses that are O(10) TeV, beyond the reach of the LHC.
(The slides will be available here)