In this talk, I first explain how, after the Nobel-prize winning discovery of the Higgs boson, unsupervised group anomaly detection has become a new frontier of fundamental physics (where the motivation is to find new particles and forces). Then I will discuss a realistic synthetic benchmark dataset (LHCO2020) for the development of group anomaly detection algorithms. Finally, I will introduce multiple statistically-sound techniques for unsupervised group anomaly detection, and demonstrate their performance on the LHCO2020 dataset.