We consider higher-derivative quantum gravity where renormalization groupimproved effective action beyond one-loop approximation is derived. Using thiseffective action, the quantum-corrected FRW equations are analyzed. De Sitteruniverse solution is found. It is demonstrated that such de Sitter inflationaryuniverse is instable. The slow-roll inflationary parameters are calculated. Thecontribution of renormalization group improved Gauss-Bonnet term toquantum-corrected FRW equations as well as to instability of de Sitter universeis estimated. It is demonstrated that in this case the spectral index andtensor-to-scalar ratio are consistent with Planck data.
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