Chaotic inflation, radiative corrections and precision cosmology

Abstract

We employ chaotic (phi^2 and phi^4) inflation to illustrate the important role radiative corrections can play during the inflationary phase. Yukawa interactions of phi, in particular, lead to corrections of the form -kappa phi^4 ln(phi/mu), where kappa>0 and mu is a renormalization scale. For instance, phi^4 chaotic inflation with radiative corrections looks compatible with the most recent WMAP (5 year) analysis, in sharp contrast to the tree level case. We obtain the 95% confidence limits 2.4x10^-14<~kappa<~5.7x10^-14, 0.931<~n_s<~0.958 and 0.038<~r<~0.205, where n_s and r respectively denote the scalar spectral index and scalar to tensor ratio. The limits for phi^2 inflation are kappa<~7.7x10^-15, 0.929<~n_s<~0.966 and 0.023<~r<~0.135. The next round of precision experiments should provide a more stringent test of realistic chaotic phi^2 and phi^4 inflation.