Clustering in massive neutrino cosmologies via Eulerian Perturbation Theory

Avilés, Alejandro; Banerjee, Arka; Niz, Gustavo; Slepian, Zachary

doi:10.1088/1475-7516/2021/11/028

Cited by 22 publications

(47 citation statements)

References 114 publications

(196 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our work extends previous studies [16,[73][74][75] for massive neutrinos within the EFT context in evaluating the power spectrum at NNLO (two-loop) order, and including the full scale-and timedependence of neutrinos imprinted on non-linear kernels. The EFT setup used in this work is based on [71], and we argue that it can be extended to the case of massive neutrinos in the limit k k FS 0.01h Mpc −1 , being satisfied for current and future galaxy surveys.…”

Section: Introductionsupporting

confidence: 66%

“…We indeed find deviations between the full 2F and approximate 1F scheme that strongly depend on the value of the neutrino mass, and reach more than one percent for k 0.08, 0.13, 0.16h Mpc −1 for either the cross-or velocity spectrum and M ν = 0.4, 0.2, 0.1 eV, respectively. Therefore, the 1F approximation is not sufficient to access the neutrino mass information encoded in redshift space [75,76].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-loop power spectrum with full time- and scale-dependence and EFT corrections: impact of massive neutrinos and going beyond EdS

Garny,

Taule

2022

Preprint

View full text Add to dashboard Cite

We compute the density and velocity power spectra at next-to-next-to-leading order taking into account the effect of time-and scale-dependent growth of massive neutrino perturbations as well as the departure from Einstein-de-Sitter (EdS) dynamics at late times non-linearly. We determine the impact of these effects by comparing to the commonly adopted approximate treatment where they are not included. For the bare cold dark matter (CDM)+baryon spectrum, we find percent deviations for k 0.17h Mpc −1 , mainly due to the departure from EdS. For the velocity and cross power spectrum the main difference arises due to time-and scale-dependence in presence of massive neutrinos yielding percent deviation above k 0.08, 0.13, 0.16h Mpc −1 for m ν = 0.4, 0.2, 0.1 eV, respectively. We use an effective field theory (EFT) framework at two-loop valid for wavenumbers k k FS , where k FS is the neutrino free-streaming scale. Comparing to Quijote N-body simulations, we find that for the CDM+baryon density power spectrum the effect of neutrino perturbations and exact time-dependent dynamics at late times can be accounted for by a shift in the one-loop EFT counterterm, ∆γ 1 −0.2 Mpc 2 /h 2 . We find percent agreement between the perturbative and N-body results up to k 0.12h Mpc −1 and k 0.16h Mpc −1 at one-and two-loop order, respectively, for all considered neutrino masses m ν ≤ 0.4 eV.

show abstract

Section: Introductionsupporting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Two-loop power spectrum with full time- and scale-dependence and EFT corrections: impact of massive neutrinos and going beyond EdS

Garny,

Taule

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Also, it seems that they have numerically solvesd the two-fluid equations for non-linear structure formation in presence of massive neutrinos. On the other hand, [2] studies the clustering of massive neutrinos in Eulerian perturbation theory and shows promising agreement with simulations on small scales.…”

Section: Introductionmentioning

confidence: 74%

“…Neutrino oscillation experiments only reveal the differences of the masses' squares. For instance [26]: ∆m 2 21 = (7.9 +1.0 −0.8 ) × 10 −5 eV 2 , |∆m 2 31 | = (2.2 +1.1 −0.8 ) × 10 −3 eV 2 .…”

Section: Introductionmentioning

confidence: 99%

A Two-Fluid Treatment of the Effect of Neutrinos on the Matter Density

Farshad¹,

Slepian²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

We study the linear effects of massive neutrinos on the matter density fluctuations on both large and small scales by solving the fluid equations that are obtained from Boltzmann hierarchy. These equations set the evolution of density and velocity perturbations of cold dark matter and neutrinos after the latter become non-relativistic. Due to the free-streaming effects, the massive neutrinos suppress the total matter power spectrum on small scales while leaving the large scales untouched. Approximating the neutrino distribution function as peaked at one value gives an equation of state that can then be used in an analytic solution of the fluid equations. We then test the validity of fluid approximation with full Boltzmann solvers such as class. We also comment on the effects of dark energy on our results.

show abstract

“…Current constraints on the total mass of neutrinos are M ν < 90 meV at 95% confidence level (CL) [10]. In this mass range, the scale-dependent suppression of f is at sub-percent level on linear scales [11].…”

Section: Dark Energy Equation Of Statementioning

confidence: 99%

Measuring dark energy with expansion and growth

Pèrenon¹,

Martinelli²,

Maartens³

et al. 2022

Preprint

View full text Add to dashboard Cite

We combine cosmic chronometer and growth of structure data to derive the redshift evolution of the dark energy equation of state w, using a novel agnostic approach. The background and perturbation equations lead to two expressions for w, one purely background-based and the other relying also on the growth rate of large-scale structure. We compare the features and performance of the growth-based w to the background w, using Gaussian Processes for the reconstructions. We find that current data is not precise enough for robust reconstruction of the two forms of w. By using mock data expected from next-generation surveys, we show that the reconstructions will be robust enough and that the growth-based w will out-perform the background w. Furthermore, any disagreement between the two forms of w will provide a new test for deviations from the standard model of cosmology.

show abstract

Clustering in massive neutrino cosmologies via Eulerian Perturbation Theory

Cited by 22 publications

References 114 publications

Two-loop power spectrum with full time- and scale-dependence and EFT corrections: impact of massive neutrinos and going beyond EdS

Two-loop power spectrum with full time- and scale-dependence and EFT corrections: impact of massive neutrinos and going beyond EdS

A Two-Fluid Treatment of the Effect of Neutrinos on the Matter Density

Measuring dark energy with expansion and growth

Contact Info

Product

Resources

About