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More accurate slow-roll approximations for inflation in scalar-tensor theories

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Ekaterina O. Pozdeeva, Maria A. Skugoreva, Alexey V. Toporensky, Sergey Yu. Vernov

General Relativity and Quantum Cosmology · Submitted 18 Feb 2025

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We investigate the inflationary dynamics in the Jordan frame and come to the conclusion that the proposed versions of the slow-roll approximation are not only more accurate at the end of inflation, but also give essentially more precise estimations for the tensor-to-scalar ratio $r$ and the amplitude of scalar perturbations $A_s$.

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arXiv ID2502.13008 (version 2)
Pith IDLTOX7TYQ, Pith's permanent record of this paper and its review
CitationAlexey V. Toporensky, Ekaterina O. Pozdeeva, Maria A. Skugoreva, Sergey Yu. Vernov. "More accurate slow-roll approximations for inflation in scalar-tensor theories." arXiv:2502.13008 (2025). https://pith.science/paper/LTOX7TYQ
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,271 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.24 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.66 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We propose new versions of the slow-roll approximation for inflationary models with nonminimally coupled scalar fields. We derive more precise expressions for the standard slow-roll parameters as functions of the scalar field. To verify the accuracy of the proposed approximations, we consider inflationary models with the induced gravity term and the fourth-order monomial potential. For specific values of the model parameters, this model is the well-known Higgs-driven inflationary model. We investigate the inflationary dynamics in the Jordan frame and come to the conclusion that the proposed versions of the slow-roll approximation are not only more accurate at the end of inflation, but also give essentially more precise estimations for the tensor-to-scalar ratio $r$ and the amplitude of scalar perturbations $A_s$.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We propose new versions of the slow-roll approximation for inflationary models with nonminimally coupled scalar fields. contribution 1.00 0.94 0.07 asserted 0.99
s1 We derive more precise expressions for the standard slow-roll parameters as functions of the scalar field. contribution 0.92 0.96 0.07 asserted 1.00
s2 To verify the accuracy of the proposed approximations, we consider inflationary models with the induced gravity term and the fourth-order monomial potential. method 0.98 0.92 0.04 asserted 0.95
s3 For specific values of the model parameters, this model is the well-known Higgs-driven inflationary model. background 0.59 0.17 0.03 asserted 1.00
s4 We investigate the inflationary dynamics in the Jordan frame and come to the conclusion that the proposed versions of the slow-roll approximation are not only more accurate at the end of inflation, but also give essentially more precise estimations for the tensor-to-scalar ratio $r$ and the amplitude of scalar perturbations $A_s$. result 0.97 0.95 0.94 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.64 · evidence from proof or derivation 0.93.

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  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We propose new versions of the slow-roll approximation for inflationary models with nonminimally coupled scalar fields. We derive more precise expressions for the standard slow-roll parameters as functions of the scalar field. To verify the accuracy of the proposed approximations, we consider inflationary models with the induced gravity term and the fourth-order monomial potential. For specific values of the model parameters, this model is the well-known Higgs-driven inflationary model. We investigate the inflationary dynamics in the Jordan frame and come to the conclusion that the proposed versions of the slow-roll approximation are not only more accurate at the end of inflation, but also give essentially more precise estimations for the tensor-to-scalar ratio $r$ and the amplitude of scalar perturbations $A_s$.

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References
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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 44 sentences without a confident label

Uses the method or tool of 3 papers
Uses data or values from 4 papers
  • The main inflationary parameters: amplitude of scalar perturbations $A_s$, their spectral index $n_s$, and the tensor-to-scalar ratio of the density perturbations $r$ are constrained by the combined analysis of Planck [ref] , BICEP/Keck [ref] and other observations as follows [ref] : [equation]

    Updated constraints on amplitude and tilt of the tensor primordial spectrum · Introduction · 0.92

  • The main inflationary parameters: amplitude of scalar perturbations $A_s$, their spectral index $n_s$, and the tensor-to-scalar ratio of the density perturbations $r$ are constrained by the combined analysis of Planck [ref] , BICEP/Keck [ref] and other observations as follows [ref] : [equation]

    Planck 2018 results. X. Constraints on inflation · Introduction · 0.92

  • The main inflationary parameters: amplitude of scalar perturbations $A_s$, their spectral index $n_s$, and the tensor-to-scalar ratio of the density perturbations $r$ are constrained by the combined analysis of Planck [ref] , BICEP/Keck [ref] and other observations as follows [ref] : [equation]

    2110.00483 · Introduction · 0.92

Cites as background 42 papers

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