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Weak lensing three-point statistics are powerful probes of the structure of dark matter halos. We propose to use the correlation of the positions of galaxies with the shapes of background galaxy pairs, known as the halo-shear-shear…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-07 Masato Shirasaki , Naoki Yoshida

We extend the two-dimensional Cartesian shapelet formalism to d-dimensions. Concentrating on the three-dimensional case, we derive shapelet-based equations for the mass, centroid, root-mean-square radius, and components of the quadrupole…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 C. J. Fluke , A. L. Malec , P. D. Lasky , B. R. Barsdell

The shear triplet statistics is a geometric method to measure cosmological parameters with observations in the weak gravitational lensing regime towards massive haloes. Here, this proposal is considered to probe the dark energy equation of…

Astrophysics · Physics 2008-11-26 Mauro Sereno

Within the program of holographic renormalization, we discuss the computation of three-point correlation functions along RG flows. We illustrate the procedure in two simple cases. In an RG flow to the Coulomb branch of N=4 SYM theory we…

High Energy Physics - Theory · Physics 2010-04-05 Massimo Bianchi , Alessandro Marchetti

We present a cosmological analysis of the third-order aperture mass statistic using Dark Energy Survey Year 3 (DES Y3) data. We perform a complete tomographic measurement of the three-point correlation function of the Y3 weak lensing shape…

Cosmological weak lensing by the large scale structure of the Universe, cosmic shear, is coming of age as a powerful probe of the parameters describing the cosmological model and matter power spectrum. It complements CMB studies, by…

Astrophysics · Physics 2009-11-10 Patrick Simon , Lindsay J. King , Peter Schneider

With the developments of large galaxy surveys or cosmic shear surveys it is now possible to map the dark matter distribution at truly cosmological scales. Detailed examinations of the statistical properties of the dark matter distribution…

Astrophysics · Physics 2007-05-23 Francis Bernardeau

We revisit the calculation of spectral densities and heavy-heavy-light (HHL) operator product expansion (OPE) coefficients in three-dimensional conformal field theories using thermal one-point functions on $S^1 \times S^2$. A central…

High Energy Physics - Theory · Physics 2025-06-30 Ilija Burić , Francesco Mangialardi , Francesco Russo , Volker Schomerus , Alessandro Vichi

We explore the cosmological constraints from cosmic shear using a new way of modelling the non-linear matter correlation functions. The new formalism extends the method of Angulo & White (2010), which manipulates outputs of $N$-body…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Raul E. Angulo , Stefan Hilbert

We investigate the building of unified models that can predict the matter-density power spectrum and the two-point correlation function from very large to small scales, being consistent with perturbation theory at low $k$ and with halo…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Patrick Valageas , Takahiro Nishimichi

The lensing magnification effect due to large-scale structure is statistically measurable by correlation of size fluctuations in distant galaxy images as well as by the QSO-galaxy cross-correlation. We use the halo model formulation of…

Astrophysics · Physics 2009-11-07 Masahiro Takada , Takashi Hamana

We compute three-point correlation functions in the near-extremal, near-horizon region of a Kerr black hole, and compare to the corresponding finite-temperature conformal field theory correlators. For simplicity, we focus on scalar fields…

High Energy Physics - Theory · Physics 2011-02-09 Melanie Becker , Sera Cremonini , Waldemar Schulgin

We present a detailed non-spherical modeling of dark matter halos on the basis of a combined analysis of the high-resolution halo simulations (12 halos with $N\sim 10^6$ particles within their virial radius) and the large cosmological…

Astrophysics · Physics 2009-07-09 Y. P. Jing , Yasushi Suto

We study the evolution of the halo-halo correlation function and bias in four cosmological models (LCDM, OCDM, tauCDM, and SCDM) using very high-resolution N-body simulations. The high force and mass resolution allows dark matter (DM) halos…

Astrophysics · Physics 2009-10-30 Pedro Colin , Anatoly Klypin , Andrey Kravtsov , Alexei Khokhlov

The analytic structure of elementary correlation functions of a quantum field is relevant for the calculation of masses of bound states and their time-like properties in general. In quantum chromodynamics, the calculation of correlation…

High Energy Physics - Phenomenology · Physics 2023-02-06 Markus Q. Huber , Wolfgang J. Kern , Reinhard Alkofer

Third-order lensing statistics contain a wealth of cosmological information that is not captured by second-order statistics. However, the computational effort for estimating such statistics on forthcoming stage IV surveys is prohibitively…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-25 Lucas Porth , Sven Heydenreich , Pierre Burger , Laila Linke , Peter Schneider

The halo-galaxy lensing correlation function or the average tangential shear profile over sampled halos is a very powerful means of measuring the halo masses, the mass profile, and the halo-mass correlation function of very large…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-13 Roland de Putter , Masahiro Takada

We give an analytical form for the weighted correlation function of peaks in a Gaussian random field. In a cosmological context, this approach strictly describes the formation bias and is the main result here. Nevertheless, we show its…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-24 Licia Verde , Raul Jimenez , Fergus Simpson , Luis Alvarez-Gaume , Alan Heavens , Sabino Matarrese

We present a systematic comparison of some usual estimators of the 2--point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small…

We present a model for the halo--mass correlation function that explicitly incorporates halo exclusion. We assume that halos trace mass in a way that can be described using a single scale-independent bias parameter. However, our model…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Rafael Garcia , Eduardo Rozo , Matthew R. Becker , Surhud More