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The cosmological primordial power spectrum is known to be one of the mostpromising observable to probe quantum gravity effects. In this article, weinvestigate how the tensor power spectrum is modified by Loop Quantum Gravitycorrections. The two most important quantum terms, holonomy and inverse volume,are explicitly taken into account in a unified framework. The equation ofpropagation of gravitational waves is derived and solved for one set ofparameters.

Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation