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<p>This work explores the possibility of inflation in a scale-symmetric extension of the Standard Model Higgs sector, where the Higgs field <i>ϕ</i><sub>1</sub> is coupled to a singlet scalar, the dilaton <i>ϕ</i><sub>0</sub>. The two-scalar theory is formulated within Weyl geometry, which modifies the Einstein frame form of the resulting single-field inflationary potential. We extend the analysis to include quantum corrections, incorporating curvature effects in the one-loop effective potential. We find that the resulting spectral index <i>n</i><sub><i>s</i></sub> and tensor-to-scalar ratio <i>r</i><sub>0.002</sub> can be consistent with the observational constraints. The predicted value <i>r</i><sub>0.002</sub> ≲ 10<sup>−3</sup> is sufficient to yield a detectable gravitational wave signal. We find the unitarity cutoff in the large-field background, Λ<sub>UV</sub> ∼ <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>M</mi> <mi>P</mi> </msub> <mo>/</mo> <msqrt> <msub> <mi>ξ</mi> <mn>1</mn> </msub> </msqrt> </math></EquationSource> <EquationSource Format="TEX">\( {M}_P/\sqrt{\xi_1} \)</EquationSource> </InlineEquation>, which lies below the energy scales relevant during inflation.</p>

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Inflation in the scale symmetric Standard Model and Weyl geometry

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月3日

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  • Z. Lalak,
  • P. Michalak

摘要

This work explores the possibility of inflation in a scale-symmetric extension of the Standard Model Higgs sector, where the Higgs field ϕ1 is coupled to a singlet scalar, the dilaton ϕ0. The two-scalar theory is formulated within Weyl geometry, which modifies the Einstein frame form of the resulting single-field inflationary potential. We extend the analysis to include quantum corrections, incorporating curvature effects in the one-loop effective potential. We find that the resulting spectral index ns and tensor-to-scalar ratio r0.002 can be consistent with the observational constraints. The predicted value r0.002 ≲ 10−3 is sufficient to yield a detectable gravitational wave signal. We find the unitarity cutoff in the large-field background, ΛUV ∼ M P / ξ 1 \( {M}_P/\sqrt{\xi_1} \) , which lies below the energy scales relevant during inflation.