Aspects of Galileon Non-Renormalization
  We discuss non-renormalization theorems applying to galileon field theories and their generalizations. Galileon theories are similar in many respects to other derivatively coupled effective field theories, including general relativity and $P(X)$ theories. In particular, these other theories also enjoy versions of non-renormalization theorems that protect certain operators against corrections from self-loops. However, we argue that the galileons are distinguished by the fact that they are not renormalized even by loops of other heavy fields whose couplings respect the galileon symmetry. 
Garrett Goon, Kurt Hinterbichler, Austin Joyce, Mark Trodden
hep-th gr-qc hep-ph