## Abstract

We study a model of inflation with terms quadratic and logarithmic in the Ricci scalar, where the gravitational action is f(R)=R+αR^{2}+βR^{2} ln R. These terms are expected to arise from one loop corrections involving matter fields in curved space-time. The spectral index n_{s} and the tensor to scalar ratio yield 4 × 10^{-4}≲ r≲0.03 and 0.94≲ n_{s} ≲ 0.99. i.e. r is an order of magnitude bigger or smaller than the original Starobinsky model which predicted r ∼ 10^{-3}. Further enhancement of r gives a scale invariant n_{s} ∼ 1 or higher. Other inflationary observables are dn_{s}/dln k ≳ -5.2 × 10^{-4}, μ ≲ 2.1 × 10^{-8} , y ≲ 2.6 × 10^{-9}. Despite the enhancement in r, if the recent BICEP2 measurement stands, this model is disfavoured.

Original language | English |
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Article number | 005 |

Journal | Journal of Cosmology and Astroparticle Physics |

Volume | 2014 |

Issue number | 9 |

DOIs | |

State | Published - 1 Sep 2014 |

Externally published | Yes |

## Keywords

- cosmological perturbation theory
- infltion

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