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Inflation with Gauss–Bonnet correction and Higgs potential.

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Title: Inflation with Gauss–Bonnet correction and Higgs potential.
Authors: Ahghari, Zahra1 (AUTHOR) z_ahghari@sbu.ac.ir, Farhoudi, Mehrdad1 (AUTHOR) m-farhoudi@sbu.ac.ir
Source: European Physical Journal C -- Particles & Fields. Jun2026, Vol. 86 Issue 6, p1-13. 13p.
Subjects: Einstein-Hilbert action, Potential functions, Gauss-Bonnet theorem, Dilaton, Inflationary universe
Abstract: We investigate the cosmological inflation for the Einstein–Hilbert action plus the Higgs potential function and the Gauss–Bonnet term coupled with the Higgs scalar field through a dilaton-like coupling. Then, using the Friedmann–Lemaître–Robertson–Walker metric and considering the appropriate slow-roll parameters, we derive the necessary equations of motion. In the proposed model, since the e-folding integral cannot be easily solved analytically, we first utilize a well-known Taylor expansion. Then, with a certain range of values derived for the model parameters, utilizing several plots and numerical analysis methods, we obtain results for the tensor-to-scalar ratio and the scalar spectral index that are in good agreement with the latest observational data, particularly from ACT DR6, within the acceptable range of the e-folding values. Meanwhile, a key aspect of this work, crucial for achieving reliable values of the inflationary observables, lies in the adopted functional forms for the potential and coupling functions. Also, in the absence of the Gauss–Bonnet term, we find that the inflationary observables are roughly the same as the predictions of the chaotic inflation model. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Inflation with Gauss–Bonnet correction and Higgs potential.
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  Data: <searchLink fieldCode="AR" term="%22Ahghari%2C+Zahra%22">Ahghari, Zahra</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> z_ahghari@sbu.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Farhoudi%2C+Mehrdad%22">Farhoudi, Mehrdad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> m-farhoudi@sbu.ac.ir</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jun2026, Vol. 86 Issue 6, p1-13. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Einstein-Hilbert+action%22">Einstein-Hilbert action</searchLink><br /><searchLink fieldCode="DE" term="%22Potential+functions%22">Potential functions</searchLink><br /><searchLink fieldCode="DE" term="%22Gauss-Bonnet+theorem%22">Gauss-Bonnet theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Dilaton%22">Dilaton</searchLink><br /><searchLink fieldCode="DE" term="%22Inflationary+universe%22">Inflationary universe</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We investigate the cosmological inflation for the Einstein–Hilbert action plus the Higgs potential function and the Gauss–Bonnet term coupled with the Higgs scalar field through a dilaton-like coupling. Then, using the Friedmann–Lemaître–Robertson–Walker metric and considering the appropriate slow-roll parameters, we derive the necessary equations of motion. In the proposed model, since the e-folding integral cannot be easily solved analytically, we first utilize a well-known Taylor expansion. Then, with a certain range of values derived for the model parameters, utilizing several plots and numerical analysis methods, we obtain results for the tensor-to-scalar ratio and the scalar spectral index that are in good agreement with the latest observational data, particularly from ACT DR6, within the acceptable range of the e-folding values. Meanwhile, a key aspect of this work, crucial for achieving reliable values of the inflationary observables, lies in the adopted functional forms for the potential and coupling functions. Also, in the absence of the Gauss–Bonnet term, we find that the inflationary observables are roughly the same as the predictions of the chaotic inflation model. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1140/epjc/s10052-026-15854-2
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 1
    Subjects:
      – SubjectFull: Einstein-Hilbert action
        Type: general
      – SubjectFull: Potential functions
        Type: general
      – SubjectFull: Gauss-Bonnet theorem
        Type: general
      – SubjectFull: Dilaton
        Type: general
      – SubjectFull: Inflationary universe
        Type: general
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      – TitleFull: Inflation with Gauss–Bonnet correction and Higgs potential.
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              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – TitleFull: European Physical Journal C -- Particles & Fields
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