A Wavelet Based Pile-Up Mitigation Method for the LHC Upgrade

Collision experiments at the Large Hadron Collider suffer from the problem of pile-up, which is the read-out of multiple simultaneous background proton-proton collisions per beam-crossing. We introduce a pile-up mitigation technique based on wavelet decomposition. Pile-up is treated as a form of white noise, which can be removed by filtering beam-crossing events in the wavelet domain. The particle-level performance of the method is evaluated using a sample of simulated proton-proton collision events that contain Z bosons decaying to a pair of neutrinos, overlaid with pile-up. In the wavelet representation, the pile-up noise level is found to grow with the square root of the number of background proton-proton collisions.