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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 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

We develop an exact analytical formulation of neutrino oscillations in matter within the framework of the Standard Neutrino Model assuming 3 Dirac Neutrinos. Our Hamiltonian formulation, which includes CP violation, leads to expressions for…

High Energy Physics - Phenomenology · Physics 2016-06-14 Mikkel B. Johnson , Ernest M. Henley , Leonard S. Kisslinger

We obtained constraints on a 12 parameter extended cosmological scenario including non-phantom dynamical dark energy (NPDDE) with CPL parametrization. We also include the six $\Lambda$CDM parameters, number of relativistic neutrino species…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-01 Shouvik Roy Choudhury , Abhishek Naskar

A simple closed-form analytic expression for the probability of two-flavour neutrino oscillations in a matter with an arbitrary density profile is derived. Our formula is based on a perturbative expansion and allows an easy calculation of…

High Energy Physics - Phenomenology · Physics 2009-01-14 E. Kh. Akhmedov , Viviana Niro

We present a new flexible, fast and accurate way to implement massive neutrinos, warm dark matter and any other non-cold dark matter relics in Boltzmann codes. For whatever analytical or numerical form of the phase-space distribution…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-14 Julien Lesgourgues , Thomas Tram

Recent DESI results indicate a strong preference for dynamical dark energy (DE) when baryon acoustic oscillation (BAO) measurements are combined with supernovae (SNe) and cosmic microwave background (CMB) data using the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-26 Shubham Barua , Shantanu Desai

We carry out an independent re-analysis of the Dark Energy Spectroscopic Instrument (DESI) public dataset, focusing on extensions to the standard cosmological model, $\Lambda$CDM. Utilizing the dataset and Effective Field Theory (EFT)-based…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Anton Chudaykin , Mikhail M. Ivanov , Oliver H. E. Philcox

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

In this paper, analytical formulas for elastic neutrino-fermion scattering cross sections are presented. These are evaluated in the limit where the neutrino mass is neglible compared to the incoming momentum. The fermion mass is taken into…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Linder

In the standard approaches to neutrino transport in the simulation of core-collapse supernovae, one will often start from the classical Boltzmann equation for the neutrino's spatial, temporal, and spectral evolution. For each neutrino…

High Energy Physics - Phenomenology · Physics 2009-04-02 P. Strack , A. Burrows

The expansion rate of the Universe deviates from its standard value when the total energy density includes contribution from a new scalar field apart from the radiation energy density. The non-trivial modifications incurred in the Boltzmann…

High Energy Physics - Phenomenology · Physics 2022-11-29 Mainak Chakraborty , Sourov Roy

An accurate analytic approximation of the transfer function for the power spectra of primordial density perturbations in mixed dark matter models is presented. The fitting formula in a matter-dominated Universe ($\Omega_0=\Omega_M=1$) is a…

Astrophysics · Physics 2007-05-23 B. Novosyadlyj , R. Durrer , V. N. Lukash

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 examine the performance of the six-parameter $\Lambda$CDM model and its extensions in light of recent cosmological observations, with particular focus on neutrino properties inferred from cosmology. Using a broad suite of nine…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-12 Helena García Escudero , Kevork N. Abazajian

The bulk of recent cosmological research has focused on the adiabatic cold dark matter model and its simple extensions. Here we present an accurate fitting formula that describes the matter transfer functions of all common variants,…

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

This paper presents a systematic and accurate treatment of the evolution of cosmological perturbations in self-interacting dark matter models, for particles which decoupled from the primordial plasma while relativistic. We provide a…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-17 Rafael Yunis , Carlos R. Argüelles , Claudia G. Scóccola , Diana López Nacir , Gastón Giordano

We derive constraints on the neutrino mass using a variety of recent cosmological datasets, including DESI BAO, the full-shape analysis of the DESI matter power spectrum and the one-dimensional power spectrum of the Lyman-$\alpha$ forest…

Exact analytical expressions in terms of generalized confluent hypergeometric functions for the transition amplitudes of neutrino oscillations in presence of matter are computed for an arbitrary number of species. The density of matter is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Emilio Torrente-Lujan

We present the first attempt to analytically study the nonlinear matter power spectrum for a mixed dark matter (cold dark matter plus neutrinos of total mass ~0.1eV) model based on cosmological perturbation theory. The suppression in the…

Astrophysics · Physics 2009-06-23 Shun Saito , Masahiro Takada , Atsushi Taruya
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