We study the renormalization group of generic effective field theories that
include gravity. We follow the on-shell amplitude approach, which provides a
simple and efficient method to extract anomalous dimensions avoiding
complications from gauge redundancies. As an invaluable tool we introduce a
modified helicity $\tilde{h}$ under which gravitons carry one unit instead of
two. With this modified helicity we easily explain old and uncover new
non-renormalization theorems for theories including gravitons. We provide
complete results for the one-loop gravitational renormalization of a generic
minimally coupled gauge theory with scalars and fermions and all orders in
$M_{Pl}$, as well as for the renormalization of dimension-six operators
including at least one graviton, all up to four external particles.

Authors

Pietro Baratella, Dominik Haslehner, Maximilian Ruhdorfer, Javi Serra, Andreas Weiler