$\alpha$-event Characterization and Rejection in Point-Contact HPGe Detectors.

P-type point contact HPGe detectors are a leading technology for rare event searches in germanium due to their excellent energy resolution, low thresholds, and multi-site event rejection capabilities. $\alpha$ particles incident on the passivated surface of these detectors lead to a previously poorly understood background. We have characterized a PPC detector's response to $\alpha$ particles incident on the sensitive passivated and p$^+$ surfaces. The detector studied is identical to those in the MAJORANA DEMONSTRATOR experiment, a search for neutrinoless double-beta decay ($0\nu\beta\beta$) in $^{76}$Ge. $\alpha$ decays on most of the passivated surface exhibit significant energy loss due to charge trapping. These waveforms are also distorted, with a delayed charge signature caused by the slow recovery of a fraction of the trapped charge. This signature can be used to reliably identify $\alpha$ background events on the passivated surface of the detector. In this measurement, this method is complementary to existing rising-edge-based analysis methods of $\alpha$ identification. We demonstrate effective rejection of all surface $\alpha$ events (to within statistical uncertainty) with a loss of only 0.2% of bulk events by combining the delayed charge recovery (DCR) discriminator with previously-used methods. The DCR discriminator has been used to reduce the background rate in the $0\nu\beta\beta$ region of interest window by an order of magnitude in the MAJORANA DEMONSTRATOR, and is planned for use in the upcoming LEGEND-200 experiment.