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Relaxing neutrino mass bounds by a running cosmological constant
Astrophysics · Submitted 6 Nov 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We demonstrate that the resulting reduction of the relic neutrino abundance allows to largely evade current cosmological neutrino mass bounds and discuss how the scenario might be probed by the help of future large scale structure surveys and Planck data.
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The abstract, sentence by sentence
We establish an indirect link between relic neutrinos and the dark energy sector which originates from the vacuum energy contributions of the neutrino quantum fields. Via renormalization group effects they induce a running of the cosmological constant with time which dynamically influences the evolution of the cosmic neutrino background. We demonstrate that the resulting reduction of the relic neutrino abundance allows to largely evade current cosmological neutrino mass bounds and discuss how the scenario might be probed by the help of future large scale structure surveys and Planck data.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We establish an indirect link between relic neutrinos and the dark energy sector which originates from the vacuum energy contributions of the neutrino quantum fields. | contribution 0.97 | 0.88 | 0.12 | asserted 1.00 |
| s1 | Via renormalization group effects they induce a running of the cosmological constant with time which dynamically influences the evolution of the cosmic neutrino background. | method 0.52 | 0.52 | 0.08 | asserted 0.99 |
| s2 | We demonstrate that the resulting reduction of the relic neutrino abundance allows to largely evade current cosmological neutrino mass bounds and discuss how the scenario might be probed by the help of future large scale structure surveys and Planck data. | result 0.83 | 0.92 | 0.89 | asserted 0.94 |
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The paper
Original abstract
We establish an indirect link between relic neutrinos and the dark energy sector which originates from the vacuum energy contributions of the neutrino quantum fields. Via renormalization group effects they induce a running of the cosmological constant with time which dynamically influences the evolution of the cosmic neutrino background. We demonstrate that the resulting reduction of the relic neutrino abundance allows to largely evade current cosmological neutrino mass bounds and discuss how the scenario might be probed by the help of future large scale structure surveys and Planck data.
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References
How the literature uses it
3 arXiv papers cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 2 papers
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A very interesting proposal is the so-called mass varying neutrino (MaVaN) model [ref] in which a light scalar field couples to neutrinos, see also [ref] for background.
Neutrino Dark Energy With More Than One Neutrino Species · Introduction · 0.97
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Note that neutrino contributions to the effective cosmological constant have been discussed in a number of recent articles (see, e.g., Refs. [ref] ).
Dynamics of the quantum vacuum: Cosmology as relaxation to the equilibrium state · Fermion contributions to $ρ_vac$ at the mass scale of light neutrinos · 0.91
What it cites · 72 sentences without a confident label
Contests 2 papers
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The corresponding authors claim that in the work on the RGE running of the CC [ref] part of the one-loop corrections to the CC have been missed out, namely the explicit $μ$ dependent part of the full one-loop effective action.
On the scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom · Conclusions and Outlook · contest 0.82
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The corresponding authors claim that in the work on the RGE running of the CC [ref] part of the one-loop corrections to the CC have been missed out, namely the explicit $μ$ dependent part of the full one-loop effective action.
The scaling evolution of cosmological constant · Conclusions and Outlook · contest 0.82
Uses data or values from 3 papers
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Considering that the projected sensitivity of Planck data alone is $σ(∑m_ν)0.48$ eV for non-interacting neutrinos (see Ref. [ref] for a review), it thus seems feasible to verify the Heidelberg-Moscow claim of $∑m_ν>1.2$ eV for interacting neutrinos by CMB data alone.
Massive neutrinos and cosmology · Future cosmological probes and interacting neutrinos · 0.90
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Hence, the improvement of current mass limit from tritium $β$ decay experiments, $∑m_ν<6.6$ eV ($2σ$) [ref] , by the approved tritium experiment KATRIN with a projected sensitivity of $0.2$ eV [ref] , offers the exciting possibility to probe such new neutrino interactions in the near future.
KATRIN: A next generation tritium beta decay experiment with sub-eV sensitivity for the electron neutrino mass · Introduction · 0.89
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According to solar and atmospheric neutrino oscillation experiments the neutrino mass squared differences are given by $Δm^2_atm=|Δm^2_23|≃2.4×10^-3 eV^2$ and $Δm^2_sun=Δm^2_12≃7.9×10^-5 eV^2$ (e.g. Ref. [ref] ).
Neutrino masses and mixings and... · Future cosmological probes and interacting neutrinos · 0.94
Cites as background 20 papers
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Through the metric source term in the perturbed Einstein equation, this imbalance leads to a slow down of the growth of matter perturbations on small scales (cf. Ref. [ref] for a recent review).
Massive neutrinos and cosmology · Evading current neutrino mass bounds from LSS measurements · 0.81
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Structure formation is sensitive to neutrino masses through kinematic effects caused by the neutrino free streaming as characteristic for hot and warm dark matter [ref] .
Small Scale Perturbations in a General MDM Cosmology · Evading current neutrino mass bounds from LSS measurements · 0.97
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Structure formation is sensitive to neutrino masses through kinematic effects caused by the neutrino free streaming as characteristic for hot and warm dark matter [ref] .
Weighing Neutrinos with Galaxy Surveys · Evading current neutrino mass bounds from LSS measurements · 0.97
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