Non-Minimal Two-Loop Inflation

Abstract

We investigate the chaotic inflationary model using the two-loop effective potential of a self-interacting scalar field theory in curved spacetime. We use the potential which contains a non-minimal scalar curvature coupling and a quartic scalar self-interaction. We analyze the Lyapunov stability of de Sitter solution and show the stability bound. Calculating the inflationary parameters, we systematically explore the spectral index $n_s$ and the tensor-to-scalar ratio $r$, with varying the four parameters, the scalar-curvature coupling ${\xi }_0$, the scalar quartic coupling ${\lambda }_0$, the renormalization scale $\mu$ and the e-folding number $N$. It is found that the two-loop correction on $n_s$ is much larger than the leading-log correction, which has previously been studied. We show that the model is consistent with the observation by Planck with WMAP and a recent joint analysis of BICEP2.

11pages, 7figures

References in corpus (15)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Higgs inflation still alive
• Spacetime curvature and the Higgs stability during inflation
• Higgs inflation from Standard Model criticality
• Predictions on mass of Higgs portal scalar dark matter from Higgs inflation and flat potential
• Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
• Chaotic inflation, radiative corrections and precision cosmology
• The double attractor behavior of induced inflation
• Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Does Current Data Prefer a Non-minimally Coupled Inflaton?
• One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result
• Extending Higgs Inflation with TeV Scale New Physics
• Inflation and Alternatives with Blue Tensor Spectra
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory

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