At the EPS-HEP conference last summer, I gave a talk about statistical properties of
#FeynmanIntegrals at large loop order. These integrals appear in many places in
#physics , I had looked at the special case of scalar theories with quartic self-interaction. The
#proceedings of my talk have now been accepted for PoS. The original papers are, as usual, much more detailed and longer, but I believe that the proceedings can be a good way for readers to quickly get a feeling for the type of phenomena one can observe in Feynman integrals at large order in perturbation theory: There are very many integrals, but most of them behave similarly, in a rather structured way with many correlations and only a few outliers.
https://doi.org/10.22323/1.485.0462