High Energy Physics - Phenomenology · arXiv:1308.1242 v3 · submitted 6 Aug 2013
On the Veltman Condition, the Hierarchy Problem and High-Scale Supersymmetry
The paper says
“This fine-tuning (unrelated to quadratic divergences) is the entire responsibility of the ultraviolet theory and remains as the missing ingredient to provide a full solution to the hierarchy problem.”
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Abstract
In this paper we have considered the possibility that the Standard Model, and its minimal extension with the addition of singlets, merges with a high-scale supersymmetric theory at a scale satisfying the Veltman condition and therefore with no sensitivity to the cutoff. The matching of the Standard Model is achieved at Planckian scales. In its complex singlet extension the matching scale depends on the strength of the coupling between the singlet and Higgs fields. For order one values of the coupling, still in the perturbative region, the matching scale can be located in the TeV ballpark. Even in the absence of quadratic divergences there remains a finite adjustment of the parameters in the high-energy theory which should guarantee that the Higgs and the singlets in the low-energy theory are kept light. This fine-tuning (unrelated to quadratic divergences) is the entire responsibility of the ultraviolet theory and remains as the missing ingredient to provide a full solution to the hierarchy problem.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.90 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.35 · compares with prior results 0.09 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| In this paper we have considered the possibility that the Standard Model, and its minimal extension with the addition of singlets, merges with a high-scale supersymmetric theory at a scale satisfying the Veltman condition and therefore with no sensitivity to the cutoff. | contribution 0.99 | 0.80 | 0.25 | hedged possibility 0.95 |
| The matching of the Standard Model is achieved at Planckian scales. | result 0.93 | 0.65 | 0.09 | asserted 1.00 |
| In its complex singlet extension the matching scale depends on the strength of the coupling between the singlet and Higgs fields. | result 0.96 | 0.74 | 0.06 | asserted 1.00 |
| For order one values of the coupling, still in the perturbative region, the matching scale can be located in the TeV ballpark. | result 0.99 | 0.78 | 0.09 | hedged possibility 0.89 |
| Even in the absence of quadratic divergences there remains a finite adjustment of the parameters in the high-energy theory which should guarantee that the Higgs and the singlets in the low-energy theory are kept light. | result 0.60 | 0.57 | 0.28 | asserted 0.94 |
| This fine-tuning (unrelated to quadratic divergences) is the entire responsibility of the ultraviolet theory and remains as the missing ingredient to provide a full solution to the hierarchy problem. | interpretation 0.57 | 0.56 | 0.63 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.69
What was examined, and what was not
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- S sections
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- C citations
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How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,002 input tokens, $0.0002 reported.
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Cited by 10 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- On exponential suppression of the cosmological constant in non-SUSY strings at two loops and beyond hep-th · Jan 2017
- Eternal Higgs inflation and cosmological constant problem hep-ph · Jan 2015
- Minimal Higgs inflation hep-ph · Aug 2013
- Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system hep-th · Mar 2017
- A Scale-invariant Higgs Sector and Structure of the Vacuum hep-ph · Mar 2015
- Higgs inflation from Standard Model criticality hep-ph · Aug 2014
- Higgs inflation still alive hep-ph · Mar 2014
- Conformal Extensions of the Standard Model with Veltman Conditions hep-ph · Oct 2013
- Conformal vector dark matter and strongly first-order electroweak phase transition hep-ph · Jan 2019
- Two Component Higgs-Portal Dark Matter hep-ph · Aug 2013
How the literature uses it
19 arXiv papers cite this in 24 sentences
Papers citing it · 15 sentences without a confident label
Uses its method or tool 1 paper
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The figure is obtained using Eqs. [ref] and [ref] with $tanβ=5$, and running the SM parameter at NNLO with boundary conditions $m_h=125.1$ GeV, $M_t=172$GeV and $α_3=0.1196$ at the electroweak scale as explained in Ref. [ref] .
Electroweak vacuum stability and finite quadratic radiative corrections · A simple non-degenerate case · 0.81
Compares with it 2 papers
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While the paper [ref] argued that the SUSY can match with the SM at the scale $VC=0$.
RGE, the naturalness problem and the understanding of the Higgs mass term · Scale-dependent property of the Higgs mass on the complex two dimensional plane · 0.86
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Similarly, the Veltman conditions in $2HDM$ [ref] are reproduced when the couplings that fingerprint the scalar triplet in the Lagrangian, namely $λ_6$, $λ_7$, $λ_8$, $λ_9$, $λ̅_8$, $λ̅_9$, are removed from Eqs. ([ref], [ref], [ref]).
The two Higgs doublet type-II seesaw model: Naturalness and $\bar{B}\to X_s\gamma$ versus heavy Higgs masses · THE MODIFIED VELTMAN CONDITIONS · 0.80
Cites it as support 1 paper
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Indeed, even the Planck-scale supersymmetry (generating no quadratic correction by its nature and merging with the SM through an intermediate-scale singlet sector) destabilizes the Higgs boson mass as in ([ref]) [ref] .
Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord · QFT-GR Concord · 0.96
Cites it as background 5 papers
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In these models, typically the scale invariance is broken radiatively by the CW mechanism, which (in steps) leads to a generation of the electroweak scale as the Higgs VEV [ref] , or generates scales involving nonzero VEVs of other scalar fields [ref] .
A Scale-invariant Higgs Sector and Structure of the Vacuum · Introduction · 0.87
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The minimal model is to add the Higgs-portal interactions, such as the singlet scalar , fermionic or vector field as dark matter candidate [ref] .
Two Component Higgs-Portal Dark Matter · Two component dark matter · 0.86
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There are plenty of studies available which employ this bottom-up approach to yield the finite scalar mass [ref] .
Ameliorating the Higgs mass fine-tuning problem with multi-Higgs doublet models · Introduction · 0.82
What it cites · 17 sentences without a confident label
Uses the method or tool of 4 papers
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We have performed a NNLO running (three-loop for beta functions [ref] and two-loop for the matchings [ref] ) as discussed in [ref] .
Higgs boson mass and new physics · The Veltman condition in the Standard Model · 0.99
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We have performed a NNLO running (three-loop for beta functions [ref] and two-loop for the matchings [ref] ) as discussed in [ref] .
Gauge Coupling Beta Functions in the Standard Model to Three Loops · The Veltman condition in the Standard Model · 0.99
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We have performed a NNLO running (three-loop for beta functions [ref] and two-loop for the matchings [ref] ) as discussed in [ref] .
Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability · The Veltman condition in the Standard Model · 0.99
Uses data or values from 2 papers
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In order to make a link with the pole top mass value $M_t$, we note that: i) According to Ref. [ref] the pole top mass value is just about $10.0$ GeV larger than the running top mass; ii) According to the most recent analysis of Ref. [ref] the top pole mass mean value obtained by combining the latest data from ATLAS, CMS and CDF is $M_t = 173.36 ±0.65 ±0.3$ GeV at $1σ$, where the last uncertainty is of theoretical origin and it is due to non-perturbative effects of order $Λ_QCD$.
The top quark and Higgs boson masses and the stability of the electroweak vacuum · The Veltman condition in the Standard Model · 0.96
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In order to make a link with the pole top mass value $M_t$, we note that: i) According to Ref. [ref] the pole top mass value is just about $10.0$ GeV larger than the running top mass; ii) According to the most recent analysis of Ref. [ref] the top pole mass mean value obtained by combining the latest data from ATLAS, CMS and CDF is $M_t = 173.36 ±0.65 ±0.3$ GeV at $1σ$, where the last uncertainty is of theoretical origin and it is due to non-perturbative effects of order $Λ_QCD$.
Investigating the near-criticality of the Higgs boson · The Veltman condition in the Standard Model · 0.96
Cites as support 1 paper
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The introduction of a light singlet with Lagrangian given by the potential ([ref]) creates a second hierarchy problem even if the scalar singlet $S$ is heavier (at the TeV scale) than the SM Higgs and independently on whether or not it does acquire a VEV [ref] .
Controlling the fine-tuning problem with singlet scalar dark matter · SM extension with singlets · 0.97
Cites as background 1 paper
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We will consider a complex singlet, instead of a real one, to make it simpler the merging with the MSSM extended by a singlet superfield, a supersymmetric theory which has also been extensively studied in the literature [ref] and is usually dubbed as the NMSSM [The name NMSSM is usually reserved to the MSSM plus a singlet chiral superfield, when the scalar component of the singlet acquire a non-zero VEV which makes it possible to give a technical solution to the supersymmetric $μ$-problem.
The Next-to-Minimal Supersymmetric Standard Model · SM merging into high-scale MSSM · 0.84
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