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We compare the predicted conditional mass function (CMF) of dark matter halos from two theoretical prescriptions against numerical N-body simulations, both in overdense and underdense regions and at different Eulerian scales ranging from…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 D. Tramonte , J. A. Rubiño-Martín , J. Betancort-Rijo , C. Dalla Vecchia

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

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

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 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…

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

The parameters governing the standard \Lambda Cold Dark Matter cosmological model have been constrained with unprecedented accuracy by precise measurements of the cosmic microwave background by the Wilkinson Microwave Anisotropy Probe…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Steven Murray , Chris Power , Aaron Robotham

The halo mass function (HMF) is fundamental for interpreting the number counts of galaxy clusters, serving as a pivotal theoretical tool in cosmology. With the advent of high-precision surveys such as LSST, eROSITA, DESI, and Euclid,…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-21 Tiago Castro , Stefano Borgani , Jeppe Dakin

Galaxy clusters are powerful probes of cosmology, and the halo mass function (HMF) serves as a fundamental tool for extracting cosmological information. Previous calibrations of the HMF in dynamical dark energy (DE) models either assumed a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-22 Tiago Castro , Stefano Borgani , Jeppe Dakin , Valerio Marra , Ronaldo Carlotto Batista , Laura Salvati

We explore the impact of a LWDM cosmological scenario on the clustering properties of large-scale structure in the Universe. We do this by extending the halo model. The new development is that we consider two components to the mass density:…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Robert E. Smith , Katarina Markovic

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 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

We present a new prescription for the halo mass function (HMF) built upon the Evolution Mapping framework. This approach provides a physical motivation to parametrise the non-universality of the HMF in terms of the recent history of…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-24 Andrea Fiorilli , Andrés N. Ruiz , Ariel G. Sanchez , Matteo Esposito

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

The abundances of dark matter halos in the universe are described by the halo mass function (HMF). It enters most cosmological analyses and parametrizes how the linear growth of primordial perturbations is connected to these abundances.…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-20 Tiago Castro , Valerio Marra , Miguel Quartin

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

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 revisit the derivation of the mass function and the bias of dark matter halos for non-Gaussian initial conditions. We use a steepest-descent approach to point out that exact results can be obtained for the high-mass tail of the halo mass…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 P. Valageas

The properties of the matter density field in the initial conditions have a decisive impact on the features of the large-scale structure of the Universe as observed today. These need to be studied via $N$-body simulations, which are…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-21 Jazhiel Chacón , Isidro Gómez-Vargas , Ricardo Menchaca Méndez , José Alberto Vázquez

We present a detailed investigation of the effects that a direct interaction between Dark Energy (DE) and Cold Dark Matter (CDM) particles imprints on the Halo Mass Function (HMF) of groups and clusters of galaxies. Making use of the public…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Weiguang Cui , Marco Baldi , Stefano Borgani
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