The LHC has produced an enormous dataset. I'm curious to know if any analyses could be (or have been?) performed on this data to search for signatures related to neutrinos that decoupled from matter in the early universe.
Specifically, since neutrino observatories have extremely low cross-sections due to the weak interaction of neutrinos with matter, it's challenging to detect them directly. However, I'm wondering if the LHC events could be searched for deviations or fluctuations that might be used as a "neutrino telescope" to gain insights into the lepton epoch?
For clarity, the idea is that cosmic neutrinos should have a higher cross section with the high-energy particles produced by the LHC than with static matter in the current neutrino observatories.