Festina lente:^{1} EFT constraints from charged black hole evaporation in de Sitter
Abstract
In the Swampland philosophy of constraining EFTs from black hole mechanics we study charged black hole evaporation in de Sitter space. We establish how the black hole mass and charge change over time due to both Hawking radiation and Schwinger pair production as a function of the masses and charges of the elementary particles in the theory. We find a lower bound on the mass of charged particles by demanding that large charged black holes evaporate back to empty de Sitter space, in accordance with the thermal picture of the de Sitter static patch. This bound is satisfied by the charged spectrum of the Standard Model. We discuss phenomenological implications for the cosmological hierarchy problem and inflation. Enforcing the thermal picture also leads to a heuristic remnant argument for the Weak Gravity Conjecture in de Sitter space, where the usual kinematic arguments do not work. We also comment on a possible relation between WGC and universal bounds on equilibration times. All in all, charged black holes in de Sitter should make haste to evaporate, but they should not rush it.^{2}
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2020
 DOI:
 10.1007/JHEP01(2020)039
 arXiv:
 arXiv:1910.01648
 Bibcode:
 2020JHEP...01..039M
 Keywords:

 Black Holes;
 Black Holes in String Theory;
 Classical Theories of Gravity;
 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 38 pages + references, 5 figures, 1 conjecture v2: references added, minor modifications to text v3: corrected minor typos v4: corrected one typo