Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory

Abstract

Inflation models can be examined by the cosmological observations, WMAP, Planck, BICEP2 and so on. These observations directly constrain the spectral index, $n_s$, and the tensor-to-scalar ratio, $r$. Besides, from a theoretical point of view, it has been shown that any inflation models asymptote a universal attractor in $(n_s,r)$ plane for a larger scalar-gravity coupling. In this work we consider a simple chaotic inflation model with a scalar quartic and a scalar-curvature interactions. The quantum corrections are introduced for these interactions through the renormalization group. The inflationary parameters, $n_s$ and $r$, are numerically calculated with shifting the bare scalar-gravity coupling ${\xi }_0$, the quartic scalar bare coupling ${\lambda }_0$, the renormalization scale $\mu$ and the e-folding number $N$. The Planck data is consistent with the ${\varphi }^4$ theory with a finite scalar-curvature coupling. It is found that the RG running induces a non-universal contribution for $n_s$ and $r$. It can increase the tensor-to-scalar ratio, $r$, which is consistent with Planck data so that it may approach the BICEP2 data for a small renormalization scale.

10 pages, 6 figures, Published version

References in corpus (2)

• Predictions on mass of Higgs portal scalar dark matter from Higgs inflation and flat potential
• Conformal Higgs Inflation

Cited by in corpus (4)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Higgs inflation from Standard Model criticality
• Non-Minimal Two-Loop Inflation
• Quantum corrections to inflation: the importance of RG-running and choosing the optimal RG-scale