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On the predictiveness of single-field inflationary models

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  • Published: 03 June 2014
  • Volume 2014, article number 10, (2014)
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On the predictiveness of single-field inflationary models
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  • C. P. Burgess1,2,
  • Subodh P. Patil3 &
  • Michael Trott3 

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A preprint version of the article is available at arXiv.

Abstract

We re-examine the predictiveness of single-field inflationary models and discuss how an unknown UV completion can complicate determining inflationary model parameters from observations, even from precision measurements. Besides the usual naturalness issues associated with having a shallow inflationary potential, we describe another issue for inflation, namely, unknown UV physics modifies the running of Standard Model (SM) parameters and thereby introduces uncertainty into the potential inflationary predictions. We illustrate this point using the minimal Higgs Inflationary scenario, which is arguably the most predictive single-field model on the market, because its predictions for A S , r and n s are made using only one new free parameter beyond those measured in particle physics experiments, and run up to the inflationary regime. We find that this issue can already have observable effects. At the same time, this UV-parameter dependence in the Renormalization Group allows Higgs Inflation to occur (in principle) for a slightly larger range of Higgs masses. We comment on the origin of the various UV scales that arise at large field values for the SM Higgs, clarifying cut off scale arguments by further developing the formalism of a non-linear realization of SU L (2) × U(1) in curved space. We discuss the interesting fact that, outside of Higgs Inflation, the effect of a non-minimal coupling to gravity, even in the SM, results in a non-linear EFT for the Higgs sector. Finally, we briefly comment on post BICEP2 attempts to modify the Higgs Inflation scenario.

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. Department of Physics & Astronomy, McMaster University, Hamilton, ON, Canada

    C. P. Burgess

  2. Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada

    C. P. Burgess

  3. Theory Division, Physics Department, CERN, CH-1211, Geneva 23, Switzerland

    Subodh P. Patil & Michael Trott

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  1. C. P. Burgess
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Correspondence to Michael Trott.

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ArXiv ePrint: 1402.1476

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Burgess, C.P., Patil, S.P. & Trott, M. On the predictiveness of single-field inflationary models. J. High Energ. Phys. 2014, 10 (2014). https://doi.org/10.1007/JHEP06(2014)010

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  • Received: 18 February 2014

  • Revised: 09 April 2014

  • Accepted: 08 May 2014

  • Published: 03 June 2014

  • DOI: https://doi.org/10.1007/JHEP06(2014)010

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Keywords

  • Beyond Standard Model
  • Cosmology of Theories beyond the SM
  • Renormalization Group
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