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CMB and reheating constraints to α-attractor inflationary models

Mehdi Eshaghi1,2,*, Moslem Zarei3,4,†, Nematollah Riazi5,‡, and Ahmad Kiasatpour1,§

  • 1Department of Physics, Faculty of Science, University of Isfahan, Isfahan 81746-73441, Iran
  • 2Astrophysics Sector, SISSA, Via Bonomea 265, I-34136 Trieste, Italy
  • 3Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran
  • 4School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
  • 5Department of Physics, Shahid Beheshti University, Tehran 19839, Iran

  • *eshaghi249@gmail.com
  • m.zarei@cc.iut.ac.ir
  • n_riazi@sbu.ac.ir
  • §akiasat@sci.ui.ac.ir

Phys. Rev. D 93, 123517 – Published 13 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.123517

Abstract

After Planck 2013, a broad class of inflationary models called α-attractors was developed which has universal observational predictions. For small values of the parameter α, the models have good consistency with the recent cosmic microwave background data. In this work, we first calculate analytically (and verify numerically) the predictions of these models for spectral index, ns, and tensor-to-scalar ratio, r, and then, using BICEP2/Keck 2015 and Planck 2015 data, we impose constraints on α-attractors. Then, we study the reheating for α-attractors. The reheating temperature, Tre, and the number of e-folds during reheating, Nre, are calculated as functions of ns. Using these results, we determine the range of the free parameters of two classes of α-attractors which satisfy the constraints of recent cosmic microwave background data.

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