Single Field Inflation models allowed and ruled out by the three years WMAP data

H. J. de Vega (1) , N. G. Sanchez

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We study the single field slow-roll inflation models that better fit the available CMB and LSS data including the three years WMAP data: new inflation and hybrid inflation. We study them as effective field theories in the Ginsburg-Landau context: a trinomial potential turns out to be a simple and well motivated model. The compute the spectral index n_s of the adiabatic fluctuations, the ratio r of tensor to scalar fluctuations and the running index d n_s/dln k, derive explicit formulae and provide relevant plots. In new inflation, and for the three years WMAP central value n_s = 0.95, we predict 0.03

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Théorie [hep-th]

H. J. de Vega, N. G. Sanchez. Single Field Inflation models allowed and ruled out by the three years WMAP data. Physical Review D, 2006, 74, pp.063519. ⟨hal-00102061⟩