>>12760707Neutrino physics still seems to be really open in some things, legitimately the only gate to new physics at the moment, we don't know the origin of its mass, the mass orderings, the nature of their mass (whether it is Dirac or Majorana) and there are some anomalies coming from reactors.
There are other few things, but there are no clear leads on to where to go. There's the hierarchy problem, the cosmological constant problem, strong CP problem, baryogenesis, leptogenesis. There are probably more, but I don't know any others.
After the LHC, we will have the HL-LHC which might give us a more precise measurement of certain quantities, but I don't see anyone speaking about new potential physics from it. Then there's the FCC-ee, which might begin to operate once the HL-LHC finishes, it seems that long-lived particles (specifically right-handed neutrinos) coming from Z decays to be the most probable new physics since its sensitivity will touch a whole new area of the parameter space. Its discovery might bring a solution to the neutrino mass problem, leptogenesis and a keV right-handed neutrino is a candidate for warm dark matter. Then there's the FCC-hh which will explore whole new energy levels that the LHC could never reach, maybe we will see stuff like some grand unified theories SO(10) for example, even supersymmetry, and in the case that there are signals of right-handed neutrinos, we could probe them even more at the FCC-hh, I think that you would get even a clearer signal, I don't think there is a lot of background from a KS-process.
There's a lot of work to be done in HEP, although it seems that a lot of people are working mostly on dark matter or some gravitational waves signals that could give us new information about particle physics.
