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High Energy Physics - Phenomenology · arXiv:1308.2244 v2 · submitted 9 Aug 2013

Higgs Inflation at NNLO after the Boson Discovery

Alberto Salvio

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The paper says

“Higgs inflation, however, is not excluded at the moment as the measured values of the Higgs and top masses are close enough to the bound once experimental and theoretical uncertainties are taken into account.”

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The paper

Abstract

We obtain the bound on the Higgs and top masses to have Higgs inflation (where the Higgs field is non-minimally coupled to gravity) at full next-to-next-to-leading order (NNLO). Comparing the result obtained with the experimental values of the relevant parameters we find some tension, which we quantify. Higgs inflation, however, is not excluded at the moment as the measured values of the Higgs and top masses are close enough to the bound once experimental and theoretical uncertainties are taken into account.

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

How the main claim is stated: asserted 0.68

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.82 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.41 · compares with prior results 0.21 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
We obtain the bound on the Higgs and top masses to have Higgs inflation (where the Higgs field is non-minimally coupled to gravity) at full next-to-next-to-leading order (NNLO). contribution 0.76 0.95 0.28 asserted 1.00
Comparing the result obtained with the experimental values of the relevant parameters we find some tension, which we quantify. result 0.85 0.95 0.12 asserted 1.00
Higgs inflation, however, is not excluded at the moment as the measured values of the Higgs and top masses are close enough to the bound once experimental and theoretical uncertainties are taken into account. interpretation 0.96 0.76 0.69 asserted 0.68

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.60

What was examined, and what was not

Sources read

  • arXiv listing abstract v2

Not examined

  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers

Levels run

  • P abstract

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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,973 input tokens, $0.0001 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

Cited by 21 Pith papers

Reviewed papers on Pith that cite this one. The full citation record

  1. Quasi-Conformal Models and the Early Universe hep-ph · Jul 2019
  2. Higgs inflation in the Palatini formulation with kinetic terms for the metric gr-qc · Nov 2018
  3. Planck scale black hole dark matter from Higgs inflation astro-ph.CO · Oct 2018
  4. Higgs inflation at the hilltop astro-ph.CO · Feb 2018
  5. Higgs inflation with loop corrections in the Palatini formulation astro-ph.CO · Sep 2017
  6. Inflationary Perturbations in No-Scale Theories astro-ph.CO · Mar 2017
  7. Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity hep-th · Oct 2015
  8. Minimal Higgs inflation hep-ph · Aug 2013
  9. Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis hep-ph · Jun 2013
  10. Critical point Higgs inflation in the Palatini formulation astro-ph.CO · Dec 2020
  11. On gravitational and thermal corrections to vacuum decay hep-ph · Aug 2016
  12. A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos hep-ph · Jan 2015
  13. Higgs Inflation as a Mirage hep-ph · Jan 2015
  14. Higgs inflation from Standard Model criticality hep-ph · Aug 2014
  15. Higgs Vacuum Stability in a Mass-Dependent Renormalisation Scheme hep-ph · May 2014
  16. Higgs inflation still alive hep-ph · Mar 2014
  17. Type II Seesaw Leptogenesis hep-ph · Apr 2022
  18. Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation astro-ph.CO · Nov 2021
  19. Bounce Inflation Cosmology with Standard Model Higgs Boson gr-qc · Sep 2015
  20. Classical and Quantum Initial Conditions for Higgs Inflation hep-ph · Jun 2015
  21. Dimensional Transmutation in Gravity and Cosmology hep-th · Dec 2020
How the literature uses it

23 arXiv papers cite this in 28 sentences

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

Papers citing it · 22 sentences without a confident label

Uses its method or tool 1 paper
  • When going beyond tree-level analysis of the renormalization-group(RG)-improved effective potential, we can actually follow the methods [ref] developed in the four-dimensional Higgs inflation.

    Higgs inflation in Gauss-Bonnet braneworld · Going Beyond Tree-level Analysis · 0.96

Cites it as background 5 papers
  • In the literature, Higgs field has been eagerly studied in cosmology [ref] , and in particular, see [ref] for the trial to build inflation models with Higgs field, which is proved to be quite economic and predictive, and see [ref] for using Higgs as curvatons.

    Bounce Inflation Cosmology with Standard Model Higgs Boson · Introduction · 0.95

  • For Higgs inflation [ref] , for a recent review see [ref] , the relevant parts of the quantum effective action are given by [equation] Here $M$ is the reduced Planck mass and one often neglects the flow of $ξ(h^†h/M^2)$.

    Quantum scale symmetry · Higgs inflation · 0.93

  • Extension of the original tree-level Higgs inflation proposal has been widely discussed from the point of view of quantum corrections [ref] , including the generation of higher order terms in the Riemann tensor [ref] .

    Higgs inflation in the Palatini formulation with kinetic terms for the metric · Conclusions · 0.92

What it cites · 36 sentences without a confident label

Uses the method or tool of 4 papers
  • We compute the running of the $MS$ SM couplings from $M_t$ up to $M_P/ξ$ by using the three loop beta functions available in the literature [ref] , and reproduced in a convenient form in the appendix of [ref] .

    Investigating the near-criticality of the Higgs boson · Renormalization group equations · 0.99

  • We compute the running of the $MS$ SM couplings from $M_t$ up to $M_P/ξ$ by using the three loop beta functions available in the literature [ref] , and reproduced in a convenient form in the appendix of [ref] .

    Gauge Coupling Beta Functions in the Standard Model to Three Loops · Renormalization group equations · 0.99

  • For energies larger than $M_P/ξ$ the physical Higgs field decouples and in this (relatively small) energy range we use the two loop RGE for $λ(μ̅)$, $y_t(μ̅)$, $g_3(μ̅)$, $g_2(μ̅)$ and $g_1(μ̅)$ and the one loop RGE for $ξ(μ̅)$ in the chiral EW theory; these equations can be found for example by setting $s=0$ in the RGE given in [ref] .

    Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis · Renormalization group equations · 0.91

Uses data or values from 3 papers
Compares with 5 papers
  • Indeed, if we were to use the theoretical uncertainty found in [ref] (see discussion below equation ([ref])) we would have a theoretical uncertainty about ten times bigger than the one in Eq. ([ref]), which would result in a blue stripe about four times thicker than the one in Fig. [ref] and we would not see any tension.

    Standard Model Higgs boson mass from inflation · Numerical studies · 0.80

  • The theoretical uncertainties on the quantities in ([ref]) are much lower than those [ref] used in previous determinations of the bound on $M_h$ from Higgs inflation (see a discussion on theoretical uncertainties in [ref] ).

    Cosmological implications of the Higgs mass measurement · Threshold corrections · 0.86

  • Regarding the proximity of ([ref]) to the above-mentioned bound in [ref] , we do not find any clear way to tell a priori that it should be so pronounced (within 1$σ$ uncertainty) and therefore we regard it as the result of explicit calculations.

    Investigating the near-criticality of the Higgs boson · Numerical studies · 0.98

Cites as support 2 papers
  • Once the background fields are taken into account, however, one can show [ref] that such energy is parametrically higher than all relevant scales during the history of the Universe.

    Higgs inflation: consistency and generalisations · Quantum corrections · 0.99

  • An inflaton with a non-minimal coupling of the form given in ([ref]), and in particular Higgs inflation, is perfectly consistent with recent Planck results [ref] , which favor a simple single field inflation.

    Planck 2013 results. XXII. Constraints on inflation · Introduction · 0.97

Cites as background 1 paper

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