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Recent work in the literature has found a suppression or, instead, anenhancement of the Cosmic Microwave Background power spectrum in quantumgravity, although the effect is too small to be observed, in both cases. Thepresent paper studies in detail the equations recently proposed for aBorn-Oppenheimer-type analysis of the problem. By using a perturbative approachto the analysis of the nonlinear ordinary differential equation obeyed by thetwo-point function for scalar fluctuations, we find various explicit forms ofsuch a two-point function, with the associated power spectrum. In particular, anew family of power spectra is obtained and studied. The theoretical predictionof power enhancement at large scales is hence confirmed.

Perturbative evaluation of scalar two-point function in the cosmic microwave background power spectrum