U(1) mixing and the Weak Gravity Conjecture

Abstract

Tiny values for gauge couplings of dark photons allow to suppress their kinetic mixing with ordinary photons. We point out that the Weak Gravity Conjecture predicts consequently low ultraviolet cut-offs where new degrees of freedom might appear. In particular, a mixing angle of $\mathcal{O}(10^{-15})$, required in order to fit the excess reported by XENON1T, corresponds to new physics below $\mathcal{O}(100)$ TeV, thus accessible at a Future Circular Collider. We show that possible realizations are provided by compactifications with six large extra dimensions and a string scale of order $\mathcal{O}(100)$ TeV.

arXiv comment9 pages. A few comments and references improved. This version matches the one published

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Cited by in corpus (9)

• The Weak Gravity Conjecture: A Review
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Weak Gravity Conjecture from Conformal Field Theory: A Challenge from Hyperscaling Violating and Kerr-Newman-AdS Black Holes
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• Cosmologically Varying Kinetic Mixing
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• Low Scale String Theory Benchmarks for Hidden Photon Dark Matter Interpretations of the XENON1T Anomaly
• Anomalous $U(1)$ extension of the Standard Model