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Critical point Higgs inflation in the Palatini formulation

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 08 April 2021
  • volume 2021, Article number: 59 (2021)
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Journal of High Energy Physics Aims and scope Submit manuscript
Critical point Higgs inflation in the Palatini formulation
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  • Vera-Maria Enckell1,2,
  • Sami Nurmi2,3,
  • Syksy Räsänen2,4 &
  • …
  • Eemeli Tomberg5 

  • 193 Accesses

  • 19 Citations

  • 8 Altmetric

  • 1 Mention

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A preprint version of the article is available at arXiv.

Abstract

We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection point. Assuming that there is a threshold correction for the Higgs quartic coupling λ and the top Yukawa coupling yt, we scan the three-dimensional parameter space formed by the two jumps and the non-minimal coupling ξ.

The spectral index ns can take any value in the observationally allowed range. The lower limit for the running is αs > −3.5 × 10−3, and αs can be as large as the observational upper limit. Running of the running is small. The tensor-to-scalar ratio is 2.2×10−17 < r < 2 × 10−5. We find that slow-roll can be violated near the feature, and a possible period of ultra-slow-roll contributes to the widening of the range of CMB predictions. Nevertheless, for the simplest tree-level action, the Palatini formulation remains distinguishable from the metric formulation even when quantum corrections are taken into account, because of the small tensor-to-scalar ratio.

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Authors and Affiliations

  1. Department of Medical Imaging and Radiation Therapy, Kymenlaakso Central Hospital, Kymenlaakso Social and Health Services (Kymsote), Kotka, Finland

    Vera-Maria Enckell

  2. Helsinki Institute of Physics (HIP), University of Helsinki, P.O. Box 64, FIN-00014, Helsinki, Finland

    Vera-Maria Enckell, Sami Nurmi & Syksy Räsänen

  3. Department of Physics, University of Jyväskylä, P.O. Box 35, FIN-40014, Jyväskylä, Finland

    Sami Nurmi

  4. Department of Physics, University of Helsinki, P.O. Box 64, FIN-00014, Helsinki, Finland

    Syksy Räsänen

  5. Laboratory of High Energy and Computational Physics, National Institute of Chemical Physics and Biophysics, Rävala pst. 10, 10143, Tallinn, Estonia

    Eemeli Tomberg

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Enckell, VM., Nurmi, S., Räsänen, S. et al. Critical point Higgs inflation in the Palatini formulation. J. High Energ. Phys. 2021, 59 (2021). https://doi.org/10.1007/JHEP04(2021)059

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  • Received: 29 December 2020

  • Accepted: 03 March 2021

  • Published: 08 April 2021

  • DOI: https://doi.org/10.1007/JHEP04(2021)059

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Keywords

  • Cosmology of Theories beyond the SM
  • Renormalization Group
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