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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

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

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

The main effect of massive neutrinos on the large-scale structure consists in a few percent suppression of matter perturbations on all scales below their free-streaming scale. Such effect is of particular importance as it allows to…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-13 Rossana Ruggeri , Emanuele Castorina , Carmelita Carbone , Emiliano Sefusatti

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

We study the spherical, top-hat collapse model for a mixed dark matter model including cold dark matter (CDM) and massive neutrinos of mass scales ranging from m_nu= 0.05 to a few 0.1eV, the range of lower- and upper-bounds implied from the…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Kiyotomo Ichiki , Masahiro Takada

We compute non-linear corrections to the matter power spectrum taking the time- and scale-dependent free-streaming length of neutrinos into account. We adopt a hybrid scheme that matches the full Boltzmann hierarchy to an effective…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Diego Blas , Mathias Garny , Thomas Konstandin , Julien Lesgourgues

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

A significant challenge for modelling the massive neutrino as a hot dark matter is its large velocity dispersion. In this work, we investigate and implement a multi-fluid perturbation theory that treats the cosmic neutrino population as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-12 Joe Zhiyu Chen , Amol Upadhye , Yvonne Y. Y. Wong

This paper presents a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. It differs from others in the literature in that we give, in…

Astrophysics · Physics 2015-06-24 Chung-Pei Ma , Edmund Bertschinger

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

Providing accurate predictions for the spatial distribution of matter and luminous tracers in the presence of massive neutrinos is an important task, given the imminent arrival of highly accurate large-scale structure observations. In this…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-04 Matteo Zennaro , Raúl E. Angulo , Giovanni Aricò , Sergio Contreras , Marcos Pellejero-Ibáñez

For a universe with massive neutrinos, cold dark matter, and baryons, we solve the linear perturbation equations analytically in the small-scale limit and find agreement with numerical codes at the 1-2% level. The inclusion of baryons, a…

Astrophysics · Physics 2009-10-30 Wayne Hu , Daniel J. Eisenstein

Massive neutrinos suppress the growth of cosmic structure on small, non-linear, scales. It is thus often proposed that using statistics beyond the power spectrum can tighten constraints on the neutrino mass by extracting additional…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-16 Adrian E. Bayer , Arka Banerjee , Uros Seljak

(abridged) We analyse the clustering features of Large Scale Structures (LSS) in the presence of massive neutrinos, employing a set of large-volume, high-resolution cosmological N-body simulations, where neutrinos are treated as a separate…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-07 Emanuele Castorina , Carmelita Carbone , Julien Bel , Emiliano Sefusatti , Klaus Dolag

(abridged) We investigate the signatures left by the cosmic neutrino background on the clustering of matter, CDM+baryons and halos in redshift-space using a set of more than 1000 N-body and hydrodynamical simulations with massless and…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Francisco Villaescusa-Navarro , Arka Banerjee , Neal Dalal , Emanuele Castorina , Roman Scoccimarro , Raul Angulo , David N. Spergel

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 derive expressions for the neutrino mixing parameters that result from complex perturbations on (1) the Majorana neutrino mass matrix (in the basis of charged lepton mass eigenstates) and on (2) the charged lepton mass matrix, for…

High Energy Physics - Phenomenology · Physics 2015-10-07 Jiajun Liao , D. Marfatia , K. Whisnant

We generalize the `renormalized' perturbation theory (RPT) formalism of Crocce & Scoccimarro (2006a) to deal with multiple fluids in the Universe and here we present calculations up to the one-loop level. We apply the approach to the…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-06 Gabor Somogyi , Robert E. Smith

We examine the central tenet of the current standard theory of neutrino oscillations, namely the assumption that neutrinos are emitted and detected as flavour neutrino states, which are coherent superpositions of massive neutrino states of…

High Energy Physics - Phenomenology · Physics 2025-09-24 Anca Tureanu
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