RG of GR from on-shell amplitudes

Author:

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

Abstract

Abstract 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 $$ \tilde{h} $$ 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 MPl, as well as for the renormalization of dimension-six operators including at least one graviton, all up to four external particles.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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