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In this work, we compute the time-dependent masses that govern the dynamicsof scalar and tensor perturbations propagating on an effective flat,homogeneous, and isotropic background within the framework of loop quantumcosmology, regularized according to the procedure put forward by Dapor andLiegener. To do so, we follow the two main approaches that, in the field ofloop quantum cosmology, lead to hyperbolic equations for the perturbations inthe ultraviolet sector: the hybrid and dressed metric formalisms. This allowsus to compare the masses resulting from both proposals and analyze theirpositivity in regimes of physical interest: the big bounce and the contractingde Sitter phase in the asymptotic past that is a defining feature of the modelunder consideration.

The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization