For charged, massive scalar fields around Reissner-Nordström de Sitter black holes, the effective potential has a single barrier for ℓ≥1, and the critical mass below which damping is anomalous is ℓ-independent for zero field charge.
Festina-Lente Bound on Higgs Vacuum Structure and Inflation
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abstract
The recently suggested Festina-Lente (FL) bound provides a lower bound on the masses of ${\rm U(1)}$ charged particles in terms of the positive vacuum energy. Since the charged particle masses in the Standard Model (SM) are generated by the Higgs mechanism, the FL bound provides a testbed of consistent Higgs potentials in the current dark energy-dominated universe as well as during inflation. We study the implications of the FL bound on the UV behavior of the Higgs potential for a miniscule vacuum energy, as in the current universe. We also present values of the Hubble parameter and the Higgs vacuum expectation value allowed by the FL bound during inflation, which implies that the Higgs cannot stay at the electroweak scale during this epoch.
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Quasinormal frequencies in Reissner-Nordstr\"om de Sitter black holes: constraints from space-time and scalar field parameters
For charged, massive scalar fields around Reissner-Nordström de Sitter black holes, the effective potential has a single barrier for ℓ≥1, and the critical mass below which damping is anomalous is ℓ-independent for zero field charge.