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Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure

Recently, the anomalous decay rate of quasinormal modes has been studied for some geometries under scalar field perturbations, which occurs when the longest-lived modes are the ones with higher angular number, as well as, the existence of a critical scalar field mass, i.e the value of scalar field mass such that the decay rate does not depend appreciably on the angular number, and beyond which the behaviour of the decay rate is inverted. Here, we consider the propagation of fermionic fields in the background of Schwarzschild de Sitter black holes, and we show that the anomalous decay rate behaviour and the fine structure, related to the coupling between the chirality and the mass of the field, can be observed in the fermionic spectrum.