Hybrid loop quantum cosmology and predictions for the cosmic microwave background Castelló Gomar, Laura Martín de Blas, Daniel Mena Marugán, Guillermo A. Olmedo, Javier We investigate the consequences of the hybrid quantization approach for primordial perturbations in loop quantum cosmology, obtaining predictions for the cosmic microwave background and comparing them with data collected by the Planck mission. In this work, we complete previous studies about the scalar perturbations and incorporate tensor modes. We compute their power spectrum for a variety of vacuum states. We then analyze the tensor-to-scalar ratio and the consistency relation between this quantity and the spectral index of the tensor power spectrum. We also compute the temperature-temperature, electric-electric, temperature-electric, and magnetic-magnetic correlation functions. Finally, we discuss the effects of the quantum geometry in these correlation functions and confront them with observations. 2024-02-05T09:11:44Z 2024-02-05T09:11:44Z 2017-11-21 journal article Published version: Phys. Rev. D 96, 103528 (2017). doi:https://doi.org/10.1103/PhysRevD.96.103528 https://hdl.handle.net/10481/88228 10.1103/PhysRevD.96.103528 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional