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Title: Inflection point inflation: WMAP constraints and a solution to the fine tuning problem

Abstract

We consider observational constraints and fine-tuning issues in a renormalizable model of inflection point inflation, with two independent parameters. We derive constraints on the parameter space of this model arising from the WMAP 7-year power spectrum. It has previously been shown that it is possible to successfully embed this potential in the MSSM. Unfortunately, to do this requires severe fine-tuning. We address this issue by introducing a hybrid field to dynamically uplift the potential with a subsequent smooth phase transition to end inflation at the necessary point. Large parameter regions exist where this drastically reduces the fine-tuning required without ruining the viability of the model. A side effect of this mechanism is that it increases the width of the slow-roll region of the potential, thus also alleviating the problem of the fine-tuning of initial conditions. The MSSM embedding we study has been previously shown to be able to explain the smallness of the neutrino masses. The hybrid transition does not spoil this feature as there exist parameter regions where the fine-tuning parameter is as large as 10{sup −1} and the neutrino masses remain small.

Authors:
 [1];  [2];  [3]
  1. Department of Physics, University of Helsinki and Helsinki Institute of Physics, P.O. Box 64, FIN-00014 University of Helsinki (Finland)
  2. Physics Department, Lancaster University, Lancaster LA1 4YB (United Kingdom)
  3. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP (United Kingdom)
Publication Date:
OSTI Identifier:
22277671
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2011; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGY; INFLATIONARY UNIVERSE; INFLATONS; MATHEMATICAL SOLUTIONS; NEUTRINOS; PHASE TRANSFORMATIONS; POTENTIALS; RENORMALIZATION; REST MASS; STANDARD MODEL; SUPERSYMMETRY

Citation Formats

Hotchkiss, Shaun, Mazumdar, Anupam, and Nadathur, Seshadri. Inflection point inflation: WMAP constraints and a solution to the fine tuning problem. United States: N. p., 2011. Web. doi:10.1088/1475-7516/2011/06/002.
Hotchkiss, Shaun, Mazumdar, Anupam, & Nadathur, Seshadri. Inflection point inflation: WMAP constraints and a solution to the fine tuning problem. United States. https://doi.org/10.1088/1475-7516/2011/06/002
Hotchkiss, Shaun, Mazumdar, Anupam, and Nadathur, Seshadri. Wed . "Inflection point inflation: WMAP constraints and a solution to the fine tuning problem". United States. https://doi.org/10.1088/1475-7516/2011/06/002.
@article{osti_22277671,
title = {Inflection point inflation: WMAP constraints and a solution to the fine tuning problem},
author = {Hotchkiss, Shaun and Mazumdar, Anupam and Nadathur, Seshadri},
abstractNote = {We consider observational constraints and fine-tuning issues in a renormalizable model of inflection point inflation, with two independent parameters. We derive constraints on the parameter space of this model arising from the WMAP 7-year power spectrum. It has previously been shown that it is possible to successfully embed this potential in the MSSM. Unfortunately, to do this requires severe fine-tuning. We address this issue by introducing a hybrid field to dynamically uplift the potential with a subsequent smooth phase transition to end inflation at the necessary point. Large parameter regions exist where this drastically reduces the fine-tuning required without ruining the viability of the model. A side effect of this mechanism is that it increases the width of the slow-roll region of the potential, thus also alleviating the problem of the fine-tuning of initial conditions. The MSSM embedding we study has been previously shown to be able to explain the smallness of the neutrino masses. The hybrid transition does not spoil this feature as there exist parameter regions where the fine-tuning parameter is as large as 10{sup −1} and the neutrino masses remain small.},
doi = {10.1088/1475-7516/2011/06/002},
url = {https://www.osti.gov/biblio/22277671}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 06,
volume = 2011,
place = {United States},
year = {2011},
month = {6}
}