\phi^2 inflation at its endpoint

PAOLO CREMINELLI; DIANA LÓPEZ NACIR; MARKO SIMONOVIC; GABRIELE TREVISAN; MATIAS ZALDARRIAGA

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2014 vol. 90 p. 1 - 5

1550-7998

In the simplest inflationary model V=m^2\phi^2/2, we provide a prediction accurate up to 1% for the spectral index ns and the tensor-to-scalar ratio r assuming instantaneous reheating and a standard thermal history: ns=0.9668±0.0003 and r=0.131±0.001. This represents the simplest and most informative point in the (ns,r) plane. The result is independent of the details of reheating (or preheating) provided the conversion to radiation is sufficiently fast. A slower reheating or a modified post-inflationary evolution push towards smaller ns (and larger r), so that our prediction corresponds to the maximum ns (and minimum r) for the quadratic potential. We also derive similar results for a general V \propto \phi^p potential.