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Loop corrections to the power spectrum are frequently computed using approximate non-linear kernels adopted from an Einstein de-Sitter (EdS) cosmology. We present an algorithm that allows us to take the full time- and scale-dependence of…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-04 Mathias Garny , Petter Taule

Massive neutrinos are well-known to cause a characteristic suppression in the growth of structures at scales below the neutrino free-streaming length. A detailed understanding of this suppression is essential in the era of precision…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-05 Sourav Pal , Rickmoy Samanta , Supratik Pal

We develop a higher-order perturbation theory for large-scale structure formation involving a free-streaming hot or warm dark matter species. We focus on the case of mixed cold dark matter and massive neutrinos, although our approach is…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-08 Florian Führer , Yvonne Y. Y. Wong

Future large scale structure observations are expected to be sensitive to small neutrino masses, of the order of 0.05 eV or more. However, forecasts are based on the assumption that by the time at which these datasets will be available, the…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-05 J. Lesgourgues , S. Matarrese , M. Pietroni , A. Riotto

In this work we introduce $\nu^2$-Flows, an extension of the $\nu$-Flows method to final states containing multiple neutrinos. The architecture can natively scale for all combinations of object types and multiplicities in the final state…

High Energy Physics - Phenomenology · Physics 2024-01-15 John Andrew Raine , Matthew Leigh , Knut Zoch , Tobias Golling

Velocity dispersion of the massive neutrinos presents a daunting challenge for non-linear cosmological perturbation theory. We consider the neutrino population as a collection of non-linear fluids, each with uniform initial momentum,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-18 Joe Zhiyu Chen , Amol Upadhye , Yvonne Y. Y. Wong

We present a novel method for implementing massive neutrinos in N-body simulations. Instead of sampling the neutrino velocity distribution by individual point particles we take neutrino free-streaming into account by treating it as an…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Steen Hannestad , Troels Haugbølle , Christian Schultz

We develop a formalism to analytically describe the clustering of matter in the mildly non-linear regime in the presence of massive neutrinos. Neutrinos, whose free streaming wavenumber ($k_{\rm fs}$) is typically longer than the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-24 Leonardo Senatore , Matias Zaldarriaga

A new analytical approach allowing to account for massive neutrinos in the non-linear description of the growth of the large-scale structure of the universe is proposed. Unlike the standard approach in which neutrinos are described as a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Hélène Dupuy , Francis Bernardeau

A measurement of the neutrino mass scale will be achieved with cosmological probes in the upcoming decade. On one hand, the inclusion of massive neutrinos in the linear perturbation theory of cosmological structure formation is well…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Caio Nascimento

We present an efficient and accurate method for simulating massive neutrinos in cosmological structure formation simulations, together with an easy to use public implementation. Our method builds on our earlier implementation of the linear…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-05 Simeon Bird , Yacine Ali-Haïmoud , Yu Feng , Jia Liu

A consistent formulation to incorporate massive neutrinos in the perturbation theory of the effective CDM+baryons fluid is introduced. In this formulation all linear k dependence in the growth functions of CDM+baryons perturbations, as well…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-01 Michele Levi , Zvonimir Vlah

Massive neutrinos make up a fraction of the dark matter, but due to their large thermal velocities, cluster significantly less than cold dark matter (CDM) on small scales. An accurate theoretical modelling of their effect during the…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-21 Yacine Ali-Haïmoud , Simeon Bird

We present a new closed-form formula for the matter power spectrum in the presence of massive neutrinos that gives an accuracy of better than 5\% on all scales. It is the first closed-form result valid on all scales. To calculate this…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-13 Farshad Kamalinejad , Zachary Slepian

We study the evolution of linear density fluctuations of free-streaming massive neutrinos at redshift of z<1000, with an explicit justification on the use of a fluid approximation. We solve the collisionless Boltzmann equation in an…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-11 Masatoshi Shoji , Eiichiro Komatsu

We propose a procedure to evaluate the impact of nonlinear couplings on the evolution of massive neutrino streams in the context of large-scale structure growth. Such streams can be described by general nonlinear conservation equations,…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Hélène Dupuy , Francis Bernardeau

Complimenting recent work on the effective field theory of cosmological large scale structures, here we present detailed approximate analytical results and further pedagogical understanding of the method. We start from the collisionless…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-02 Mark P. Hertzberg

The Eulerian cosmological fluid equations are used to study the nonlinear mode coupling of density fluctuations. We evaluate the second-order power spectrum including all four-point contributions. In the weakly nonlinear regime we find that…

Astrophysics · Physics 2009-10-22 Bhuvnesh Jain , Edmund Bertschinger

Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies, or using Kubo's formula for resonances at finite frequency.…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 Daniel Kaplan , Tobias Holder , Binghai Yan

The observation of fluid-like behavior in nucleus-nucleus, proton-nucleus and high-multiplicity proton-proton collisions motivates systematic studies of how different measurements approach their fluid-dynamic limit. We have developed…

High Energy Physics - Phenomenology · Physics 2020-11-11 Aleksi Kurkela , Seyed Farid Taghavi , Urs Achim Wiedemann , Bin Wu
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