The Observational Status of Simple Inflationary Models: an Update

We provide an update on five relatively well-motivated inflationary models in whichthe inflaton is a Standard Model singlet scalar field. These includei) the textbook quadratic and quartic potential models but with additionalcouplings of the inflaton to fermions and bosons, which enable reheating andalso modify the naive predictions for the scalar spectral index

n_s

and

r

, ii) models with Higgs and Coleman-Weinberg potentials, and finally iii) a quartic potential model with nonminimal coupling of the inflaton to gravity.For

n_s

values close to 0.96, as determined bythe WMAP9 and Planck experiments, most of the considered models predict

r\gtrsim0.02

. The running of the scalar spectral index, quantified by |\udn_s/\ud\ln k|, is predicted in these models to be of order

10^{-4}

-

10^{-3}

.

Note:

1+14 pages, 6 figures, 5 tables. v4: Title changed and manuscript revised taking into account Planck 2015 results

Physics of the early universe
inflation
inflation: model
power spectrum: scalar
inflaton: coupling
field theory: scalar
singlet: scalar
coupling: nonminimal
beam: polarization
potential model

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