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arXiv · 2109.06191

RG of GR from On-shell Amplitudes

Pietro Baratella·Dominik Haslehner·Maximilian Ruhdorfer·Javi Serra·Andreas Weiler
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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 $\tilde{h}$ 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.

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Pietro Baratella, Dominik Haslehner, Maximilian Ruhdorfer, Javi Serra, Andreas Weiler. 2021-09-13. RG of GR from On-shell Amplitudes. https://doi.org/10.1007/jhep03(2022)156

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