Abstract
We complete the so-called Universal One-Loop Effective Action (UOLEA) with effects of gravity and provide a systematic approach to incorporate higher dimensional operators in curved spacetime. The functional determinant stemming from the path integral is computed using the Covariant Derivative Expansion (CDE), in a momentum representation that does not rely on a specific choice of coordinate to be defined, as it often is. This efficient approach manifests an interesting novelty as it allows to integrate out chiral fermions in curved spacetime in a direct manner leading to new operators involving the curvature, and provides a new alternative to the use of Feynman diagrams in that regard. The method presented would very well fit in a code that performs CDE, offering the possibility to integrate out at one-loop fields on a curved spacetime background, including spin-2 fields, like the graviton. Eventually these results should provide an interesting way to study low energy effects of UV completions of gravity.
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Acknowledgments
The authors are grateful to Pham Ngoc Hoa Vuong for useful discussions, Rodrigo Alonso, Philippe Brax, Baptiste Filoche and Tevong You for helpful comments on the manuscript. This work is supported by the IN2P3 Master projects A2I and BSMGA and by the Programme National GRAM of CNRS/INSU with INP and IN2P3 co-funded by CNES. R.L. acknowledges the support of the European Consortium for Astroparticle Theory in the form of an Exchange Travel Grant.
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Larue, R., Quevillon, J. The universal one-loop effective action with gravity. J. High Energ. Phys. 2023, 45 (2023). https://doi.org/10.1007/JHEP11(2023)045
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DOI: https://doi.org/10.1007/JHEP11(2023)045