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Inflation with Whip-Shaped Suppressed Scalar Power Spectra

Dhiraj Kumar Hazra, Arman Shafieloo, George F. Smoot, and Alexei A. Starobinsky
Phys. Rev. Lett. 113, 071301 – Published 13 August 2014

Abstract

Motivated by the idea that inflation occurs at the grand unified theory symmetry breaking scale, in this Letter we construct a new class of large field inflaton potentials where the inflaton starts with a power law potential; after an initial period of relatively fast roll that lasts until after a few e folds inside the horizon it transits to the attractor of the slow roll part of the potential with a lower power. Because of the initial fast roll stages of inflation, we find a suppression in scalar primordial power at large scales and at the same time the choice of the potential can provide us a tensor primordial spectrum with a high amplitude. This suppression in scalar power with a large tensor-to-scalar ratio helps us to reconcile the Planck and BICEP2 data in a single framework. We find that a transition from a cubic to quadratic form of inflaton potential generates an appropriate suppression in the power of the scalar primordial spectrum that provides a significant improvement in fit compared to the power law model when compared with Planck and BICEP2 data together. We calculate the extent of non-Gaussianity, specifically, the bispectrum for the best fit potential, and show that it is consistent with Planck bispectrum constraints.

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  • Received 14 April 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.071301

© 2014 American Physical Society

Authors & Affiliations

Dhiraj Kumar Hazra*

  • Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784, Korea

Arman Shafieloo

  • Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784, Korea and Department of Physics, POSTECH, Pohang, Gyeongbuk 790-784, Korea

George F. Smoot

  • Université Sorbonne Paris Cité, Laboratoire APC-PCCP Université Paris Diderot 10, rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13, France and Physics Department & LBNL, University of California, Berkeley, California 94720, USA

Alexei A. Starobinsky§

  • Landau Institute for Theoretical Physics RAS, Moscow 119334, Russia

  • *dhiraj@apctp.org
  • arman@apctp.org
  • gfsmoot@lbl.gov
  • §alstar@landau.ac.ru

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Issue

Vol. 113, Iss. 7 — 15 August 2014

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