Abstract
We develop an effective field theory to describe the coupling of non-thermal quantum black holes to particles such as those of the Standard Model. The effective Lagrangian is determined by imposing that the production cross section of a non-thermal quantum black hole be given by the usual geometrical cross section. Having determined the effective Lagrangian, we estimate the contribution of a virtual hole to the anomalous magnetic moment of the muon, μ→eγ transition and to the electric dipole moment of the neutron. We obtain surprisingly weak bounds on the Planck mass due to a chiral suppression factor in the calculated low energy observables. The tightest bounds come from μ→eγ and the limit on the neutron electric dipole moment. These bounds are in the few TeV region.
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Calmet, X., Fragkakis, D. & Gausmann, N. The flavor of quantum gravity. Eur. Phys. J. C 71, 1781 (2011). https://doi.org/10.1140/epjc/s10052-011-1781-4
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DOI: https://doi.org/10.1140/epjc/s10052-011-1781-4