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We use Bayesian inference and nested sampling to develop a non-parametric method to reconstruct the primordial power spectrum $P_{\mathcal{R}}(k)$ from Large Scale Structure (LSS) data. The performance of the method is studied by applying…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-16 G. Martínez-Somonte , A. Marcos-Caballero , E. Martínez-González , G. Cañas-Herrera

We present astrophysical applications of the recently popular halo model to describe large scale structure clustering. We formulate the power spectrum, bispectrum and trispectrum of dark matter density field in terms of correlations within…

Astrophysics · Physics 2007-05-23 Asantha Cooray

The primordial non-Gaussianity induces scale-dependent bias of the \hi with respect to the underlying dark matter, which exhibits features on the very large scales of the 21-cm power spectrum potentially observable with \hi intensity…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-04 Yi-Chao Li , Yin-Zhe Ma

Local primordial non-Gaussianity (PNG) is a promising observable of the underlying physics of inflation, characterised by $f_{\rm NL}^{\rm loc}$. We present the methodology to measure $f_{\rm NL}^{\rm loc}$ from the Dark Energy Survey (DES)…

We develop technique concerning statistical analyses of the large-scale structure of the universe in the presence of biasing in the structure formation. We formulate the diagrammatic method to calculate the correlation functions of the…

Astrophysics · Physics 2016-08-30 Takahiko Matsubara

We use cosmological N-body simulations to investigate whether measurements of the moments of large-scale structure can yield constraints on primordial non-Gaussianity. We measure the variance, skewness, and kurtosis of the evolved density…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-24 Qingqing Mao , Andreas A. Berlind , Cameron K. McBride , Robert J. Scherrer , Roman Scoccimarro , Marc Manera

We use the delta N-formalism to describe the leading order contributions to the primordial power spectrum, bispectrum and trispectrum in multiple-field models of inflation at leading order in a perturbative expansion. In slow-roll models…

Astrophysics · Physics 2008-11-26 Christian T. Byrnes , Misao Sasaki , David Wands

We give new constraints on small-scale non-Gaussianity of primordial curvature perturbations by the use of anisotropies in acoustic reheating. Mixing of local thermal or local kinetic equilibrium systems with different temperatures yields a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Atsushi Naruko , Atsuhisa Ota , Masahide Yamaguchi

We consider primordial non-Gaussianity due to quadratic corrections in the gravitational potential parametrized by a non-linear coupling parameter fnl. We study constraints on fnl from measurements of the galaxy bispectrum in redshift…

Astrophysics · Physics 2009-11-10 Roman Scoccimarro , Emiliano Sefusatti , Matias Zaldarriaga

The power spectrum has been a workhorse for cosmological studies of large-scale structure. However, the present-day matter distribution is highly non-Gaussian and significant cosmological information is also contained in higher-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-08 Victoria Yankelevich , Ian G. McCarthy , Juliana Kwan , Sam G. Stafford , Jia Liu

We study the use of U-Nets in reconstructing the linear dark matter density field and its consequences for constraining cosmological parameters, in particular primordial non-Gaussianity. Our network is able to reconstruct the initial…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-23 Thomas Flöss , P. Daniel Meerburg

Measurements of primordial non-Gaussianity ($f_{NL}$) open a new window onto the physics of inflation. We describe a fast cubic (bispectrum) estimator of $f_{NL}$, using a combined analysis of temperature and polarization observations. The…

Astrophysics · Physics 2009-02-23 Amit P. S. Yadav , Eiichiro Komatsu , Benjamin D. Wandelt

The advent of Stage IV galaxy redshift surveys such as DESI and Euclid marks the beginning of an era of precision cosmology, with one key objective being the detection of primordial non-Gaussianities (PNG), potential signatures of…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-15 M. S. Cagliari , A. Bairagi , B. Wandelt

We explore a systematic approach to the analysis of primordial non-Gaussianity using fluctuations in temperature and polarization of the Cosmic Microwave Background (CMB). Following Munshi & Heavens (2009), we define a set of power-spectra…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Dipak Munshi , Peter Coles , Asantha Cooray , Alan Heavens , Joseph Smidt

We consider possible scale-dependence of the non-linearity parameter f_NL in local and quasi-local models of non-Gaussian primordial density perturbations. In the simplest model where the primordial perturbations are a quadratic local…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-15 Christian T. Byrnes , Sami Nurmi , Gianmassimo Tasinato , David Wands

The Planck nominal mission cosmic microwave background (CMB) maps yield unprecedented constraints on primordial non-Gaussianity (NG). Using three optimal bispectrum estimators, separable template-fitting (KSW), binned, and modal, we obtain…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-29 Planck Collaboration , P. A. R. Ade , N. Aghanim , C. Armitage-Caplan , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , N. Bartolo , E. Battaner , K. Benabed , A. Benoît , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bridges , M. Bucher , C. Burigana , R. C. Butler , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , H. C. Chiang , L. -Y Chiang , P. R. Christensen , S. Church , D. L. Clements , S. Colombi , L. P. L. Colombo , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , F. -X. Désert , J. M. Diego , H. Dole , S. Donzelli , O. Doré , M. Douspis , A. Ducout , J. Dunkley , X. Dupac , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , J. Fergusson , F. Finelli , O. Forni , M. Frailis , E. Franceschi , S. Galeotta , K. Ganga , M. Giard , Y. Giraud-Héraud , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , F. K. Hansen , D. Hanson , D. Harrison , A. Heavens , S. Henrot-Versillé , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , A. H. Jaffe , T. R. Jaffe , W. C. Jones , M. Juvela , E. Keihänen , R. Keskitalo , T. S. Kisner , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , F. Lacasa , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , R. J. Laureijs , C. R. Lawrence , J. P. Leahy , R. Leonardi , J. Lesgourgues , A. Lewis , M. Liguori , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , B. Maffei , D. Maino , N. Mandolesi , A. Mangilli , D. Marinucci , M. Maris , D. J. Marshall , P. G. Martin , E. Martínez-González , S. Masi , M. Massardi , S. Matarrese , F. Matthai , P. Mazzotta , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , S. Osborne , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , D. Paoletti , F. Pasian , G. Patanchon , H. V. Peiris , O. Perdereau , L. Perotto , F. Perrotta , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , G. Prézeau , S. Prunet , J. -L. Puget , J. P. Rachen , B. Racine , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , A. Renzi , S. Ricciardi , T. Riller , I. Ristorcelli , G. Rocha , C. Rosset , G. Roudier , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , K. Smith , L. D. Spencer , J. -L. Starck , V. Stolyarov , R. Stompor , R. Sudiwala , R. Sunyaev , F. Sureau , P. Sutter , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , L. Valenziano , J. Valiviita , B. Van Tent , J. Varis , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , M. White , S. D. M. White , D. Yvon , A. Zacchei , A. Zonca

We present the results of a set of cosmological N-body simulations with standard $\Lambda$CDM cosmology but characterized by a scale-dependent primordial non-Gaussianity of the local type featuring a power-law dependence of the $f_{\rm…

We present N-body cosmological numerical simulations including a primordial non-Gaussianity in the density fluctuation field quantified by the non-linear parameter $f_{NL}$. We have used MPGRAFIC code to produce initial conditions and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 F. Fraschetti , J. M. Alimi , J. Courtin , P. S. Corasaniti

It has long been known how to analytically relate the clustering properties of the collapsed structures (halos) to those of the underlying dark matter distribution for Gaussian initial conditions. Here we apply the same approach to…

Astrophysics · Physics 2010-11-11 Sabino Matarrese , Licia Verde

We study how primordial non-Gaussianities affect the clustering of voids at large scales. We derive a formula of the bias of voids induced from the non-Gaussianities by making use of the functional integral method. In a similar way as of…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-02 Toyokazu Sekiguchi , Shuichiro Yokoyama
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