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[ABRIDGED] The unconditional mass function (UMF) of dark matter haloes has been determined accurately in the literature, showing excellent agreement with high resolution numerical simulations. However, this is not the case for the…

Astrophysics · Physics 2009-11-13 J. A. Rubino-Martin , J. Betancort-Rijo , S. Patiri

We combine data from a number of N-body simulations to predict the abundance of dark halos in Cold Dark Matter universes over more than 4 orders of magnitude in mass. A comparison of different simulations suggests that the dominant…

In order to attain a statistical description of the evolution of cosmic density fluctuations in agreement with results from the numerical simulations, we introduce a probability conditional formalism (CF) based on an inventory of isolated…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-10 C. Firmani , V. Avila-Reese

We study merger histories of dark-matter haloes in a suite of N-body simulations that span different cosmological models. The simulated cases include the up-to-date WMAP5 cosmology and other test cases based on the Einstein-deSitter…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Eyal Neistein , Andrea V. Maccio' , Avishai Dekel

We investigate the precision within which a simulated dark matter halo mass function can be rescaled to a different set of cosmological parameters. Our tests show that the accuracy almost linearly depends on the difference of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-02 Victoria Yankelevich , Sergey Pilipenko

We measure the mass function of dark matter halos in a large set of collisionless cosmological simulations of flat LCDM cosmology and investigate its evolution at z<~2. Halos are identified as isolated density peaks, and their masses are…

Press-Schechter theory gives a simple, approximate functional form of the mass function of dark matter haloes. Sheth and Tormen (ST) refined this mass function to give an improved analytical fit to results of N-body simulations. These forms…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-21 J. S. Bagla , Nishikanta Khandai , Girish Kulkarni

The predicted mass function of dark matter halos is essential in connecting observed galaxy cluster counts and models of galaxy clustering to the properties of the primordial density field. We determine the mass function in the concordance…

Astrophysics · Physics 2011-02-11 Michael S. Warren , Kevork Abazajian , Daniel E. Holz , Luis Teodoro

We use self-similarity in N-body simulations of scale-free models to test for resolution dependence in the mass function and two-point correlation functions of dark matter halos. We use 1024$^3$ particle simulations performed with ABACUS,…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-22 M. Leroy , L. Garrison , D. Eisenstein , M. Joyce , S. Maleubre

The dark matter halo mass function (HMF) is a characteristic property of cosmological structure formation models, quantifying the number density of dark matter haloes per unit mass in the Universe. A key goal of current and planned large…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-01 Steven Murray , Chris Power , Aaron Robotham

Studies of flux anomalies statistics and perturbations in stellar streams have the potential to constrain models of warm dark matter (WDM), including sterile neutrinos. Producing these constraints requires a parametrization of the WDM mass…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-24 Mark R. Lovell

We present a new theoretical framework for the halo mass function (HMF) that accurately predicts the abundance of dark matter haloes across an exceptionally wide range in mass and redshift. Building on a generalised Press & Schechter model…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-25 Elena Fernández-García , Juan E. Betancort-Rijo , Francisco Prada , Tomoaki Ishiyama , Anatoly Klypin , José Ruedas

We study the evolution of the mass function of dark matter halos in the concordance LCDM model at high redshift. We employ overlapping (multiple-realization) numerical simulations to cover a wide range of halo masses,…

Astrophysics · Physics 2009-11-11 Katrin Heitmann , Zarija Lukic , Salman Habib , Paul M. Ricker

Euclid's photometric galaxy cluster survey has the potential to be a very competitive cosmological probe. The main cosmological probe with observations of clusters is their number count, within which the halo mass function (HMF) is a key…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-17 Euclid Collaboration , T. Castro , A. Fumagalli , R. E. Angulo , S. Bocquet , S. Borgani , C. Carbone , J. Dakin , K. Dolag , C. Giocoli , P. Monaco , A. Ragagnin , A. Saro , E. Sefusatti , M. Costanzi , A. M. C. Le Brun , P. -S. Corasaniti , A. Amara , L. Amendola , M. Baldi , R. Bender , C. Bodendorf , E. Branchini , M. Brescia , S. Camera , V. Capobianco , J. Carretero , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , F. Courbin , A. Da Silva , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , B. Garilli , B. Gillis , A. Grazian , F. Grupp , S. V. H. Haugan , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , S. Kermiche , T. Kitching , M. Kunz , H. Kurki-Suonio , P. B. Lilje , I. Lloro , O. Mansutti , O. Marggraf , F. Marulli , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , L. Moscardini , E. Munari , S. M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , G. Seidel , G. Sirri , L. Stanco , P. Tallada Crespí , A. N. Taylor , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , S. Andreon , S. Bardelli , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , M. Farina , J. Graciá-Carpio , V. Lindholm , C. Neissner , V. Scottez , M. Tenti , E. Zucca , C. Baccigalupi , A. Balaguera-Antolínez , M. Ballardini , F. Bernardeau , A. Biviano , A. Blanchard , A. S. Borlaff , C. Burigana , R. Cabanac , A. Cappi , C. S. Carvalho , S. Casas , G. Castignani , A. Cooray , J. Coupon , H. M. Courtois , S. Davini , G. De Lucia , G. Desprez , H. Dole , J. A. Escartin , S. Escoffier , F. Finelli , K. Ganga , J. Garcia-Bellido , K. George , G. Gozaliasl , H. Hildebrandt , I. Hook , S. Ilić , V. Kansal , E. Keihanen , C. C. Kirkpatrick , A. Loureiro , J. Macias-Perez , M. Magliocchetti , R. Maoli , S. Marcin , M. Martinelli , N. Martinet , S. Matthew , M. Maturi , R. B. Metcalf , G. Morgante , S. Nadathur , A. A. Nucita , L. Patrizii , A. Peel , V. Popa , C. Porciani , D. Potter , A. Pourtsidou , M. Pöntinen , A. G. Sánchez , Z. Sakr , M. Schirmer , M. Sereno , A. Spurio Mancini , R. Teyssier , J. Valiviita , A. Veropalumbo , M. Viel

In a recent study by Euclid collaboration, the halo mass function (HMF) has been fitted with accuracy better than $1\%$ for the $\Lambda$CDM model. Several parameters were introduced and fitted against N-body simulations, assuming the usual…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-08 Ronaldo C. Batista

We propose a new numerical procedure to simulate a single dark halo of any size and mass in a hierarchical framework coupling the extended Press-Schechter formalism (EPSF) to N-body simulations. The procedure consists of assigning…

Astrophysics · Physics 2009-11-07 Elena D'Onghia , Claudio Firmani , Guido Chincarini

The mass distribution of halos, as specified by the halo mass function, is a key input for several cosmological probes. The sizes of $N$-body simulations are now such that, for the most part, results need no longer be statistics-limited,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Suman Bhattacharya , Katrin Heitmann , Martin White , Zarija Lukić , Christian Wagner , Salman Habib

The abundance of dark matter haloes is one of the key probes of the growth of structure and expansion history of the Universe. Theoretical predictions for this quantity usually assume that, when expressed in a certain form, it depends only…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-22 Lurdes Ondaro-Mallea , Raul E. Angulo , Matteo Zennaro , Sergio Contreras , Giovanni Aricò

The universality of the halo mass function is investigated in the context of dark energy cosmologies. This widely used approximation assumes that the mass function can be expressed as a function of the matter density omega_m and the rms…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 J. Courtin , Y. Rasera , J. -M. Alimi , P. -S. Corasaniti , V. Boucher , A. Fuzfa

We present a new method for emulating the halo mass function (HMF) and other distribution functions in large effective volumes, down to low halo masses, whilst simultaneously modifying large ranges of parameters, for a fraction of the cost…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Christopher C. Lovell , Max E. Lee , William J. Roper , Daniel Anglés-Alcázar , Shy Genel , Shivam Pandey , Francisco Villaescusa-Navarro
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