Abstract
We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff’s analysis [1] to include parity-odd terms and explicit symmetry breaking. The constraints imply the absence of the parity-odd \( R\overset{\sim }{R} \) and \( F\overset{\sim }{F} \) terms, for theories whose symmetries are compatible with dimensional regularisation, in a model-independent way. Remarkably, even in the case of explicit symmetry breaking the □R-anomaly is found to be finite and unambiguous after applying the symmetry constraints. We compute mixed gravity-gauge anomalies at leading order and deduce phenomenological consequences for vector bosons associated with global chiral symmetries.
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Acknowledgments
The authors are grateful to Latham Boyle, Franz Herzog and Neil Turok for helpful discussions, and we acknowledge valuable comments by the referee. The work of RL and JQ is supported by the project AFFIRM of the Programme National GRAM of CNRS/INSU with INP and IN2P3 co-funded by CNES and by the project EFFORT supported by the programme IRGA from UGA. JQ and RZ acknowledge the support of CERN associateships. The work of RZ is supported by the STFC Consolidated Grant, ST/P0000630/1. Many manipulations were carried out with the help of Mathematica and the package xAct [76].
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Larue, R., Quevillon, J. & Zwicky, R. Gravity-gauge anomaly constraints on the energy-momentum tensor. J. High Energ. Phys. 2024, 307 (2024). https://doi.org/10.1007/JHEP05(2024)307
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DOI: https://doi.org/10.1007/JHEP05(2024)307