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Quantum gravity effects of zeroth order in the Planck constant are investigated in the framework of the low-energy effective theory. A special emphasis is placed on establishing the correspondence between classical and quantum theories, for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Kazakov

Pulsar timing arrays seek and study gravitational waves (GWs) through the angular two-point correlation function of timing residuals they induce in pulsars. The two-point correlation function induced by the standard transverse-traceless GWs…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-24 Neha Anil Kumar , Marc Kamionkowski

The two-point statistics of the cosmic velocity field, measured from galaxy peculiar velocity (PV) surveys, can be used as a dynamical probe to constrain the growth rate of large-scale structures in the universe. Most works use the…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-07 Motonari Tonegawa , Stephen Appleby , Changbom Park , Sungwook E. Hong , Juhan Kim

The two-point angular correlation function of galaxies, \wte, has been computed from a new survey of faint galaxies covering a 2 deg$^2$ area near the North Galactic Pole. This survey, which is complete to limiting magnitudes \jmag=24 and…

Astrophysics · Physics 2009-10-22 L. Infante , C. J. Pritchet

Two-point correlation functions (2PCF) are widely used to characterize how points cluster in space. In this work, we study the problem of measuring the 2PCF over a large set of points, restricted to a subset satisfying a property of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Max Hamilton , Daniel Sheldon , Subhransu Maji

The redshift evolution of the galaxy two-point correlation function is a fundamental cosmological statistic. To identify similar galaxy populations at different redshifts, we select a strict volume-limited sample culled from the 6100…

Astrophysics · Physics 2009-10-31 R. G. Carlberg , H. K. C. Yee , S. L. Morris , H. Lin , P. B. Hall , D. Patton , M. Sawicki , C. W. Shepherd

We investigate energy correlators in four-dimensional gravitational theories, which provide a simple class of infrared-finite observables. We compute the one- and two-point energy correlators at one loop in $\mathcal{N}=8$ supergravity and…

High Energy Physics - Theory · Physics 2026-01-01 Dmitry Chicherin , Gregory P. Korchemsky , Emery Sokatchev , Alexander Zhiboedov

2-point topological charge correlation functions of several types of geometric singularity in gaussian random fields are calculated explicitly, using a general scheme: zeros of $n$-dimensional random vectors, signed by the sign of their…

Mathematical Physics · Physics 2010-12-01 M. R. Dennis

We analyse the correlation function of mock galaxy clusters in redshift space. We constructed several mock catalogues designed to mimic the selection biases inherent in a variety of observational surveys. We explore different effects that…

Astrophysics · Physics 2009-11-07 N. D. Padilla , D. G. Lambas

This review presents a comprehensive overview of galaxy bias, that is, the statistical relation between the distribution of galaxies and matter. We focus on large scales where cosmic density fields are quasi-linear. On these scales, the…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-15 Vincent Desjacques , Donghui Jeong , Fabian Schmidt

It is known that the covariant graviton two-point function in de Sitter spacetime is infrared divergent for some choices of gauge parameters. On the other hand it is also known that there are no infrared divergences requiring an infrared…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Mir Faizal , Atsushi Higuchi

Upcoming large-scale structure surveys will be able to measure new features in the galaxy two point correlation function. Relativistic effects appear on large scales as subtle corrections to redshift-space distortions, showing up as a…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-29 Daniel Sobral-Blanco , Camille Bonvin , Chris Clarkson , Roy Maartens

We propose a new strategy to probe non-tensorial polarizations in the stochastic gravitational-wave (GW) background. Averaging over polarization angles, we find that three-point correlations of the GW signal vanish for tensor and vector…

General Relativity and Quantum Cosmology · Physics 2025-09-11 N. M. Jiménez Cruz , Flavio C. Sánchez , Gianmassimo Tasinato

We measure the monopole moment of the three-point correlation function on scales $1\mpc-70\mpc$ in the Two degree Field Galaxy Redshift Survey (2dFGRS). Volume limited samples are constructed using a series of integral magnitudes bins…

Astrophysics · Physics 2009-11-11 Jun Pan , Istvan Szapudi

In our previous work \cite{Feng:2013pba}, we have shown a curvaton model where the curvaton has a nonminimal derivative coupling to gravity. Such a coupling could bring us scale-invariance of the perturbations for wide range constant values…

High Energy Physics - Theory · Physics 2014-12-17 Kaixi Feng , Taotao Qiu

We calculate the systematic errors in the weak gravitational lensing power spectrum which would be caused by spatially varying calibration (i.e. multiplicative) errors, such as might arise from uncorrected seeing or extinction variations.…

Astrophysics · Physics 2009-11-13 Jacek Guzik , Gary Bernstein

We present a comparative study of the accuracy and precision of correlation function methods and full-field inference in cosmological data analysis. To do so, we examine a Bayesian hierarchical model that predicts log-normal fields and…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-07 Florent Leclercq , Alan Heavens

The intrinsic alignments (IA) of galaxies, regarded as a contaminant in weak lensing analyses, represents the correlation of galaxy shapes due to gravitational tidal interactions and galaxy formation processes. As such, understanding IA is…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-23 Sneh Pandya , Yuanyuan Yang , Nicholas Van Alfen , Jonathan Blazek , Robin Walters

We investigate the extent to which the pure magnification effect of gravitational lensing can be extracted from galaxy clustering statistics, by a nulling method which aims to eliminate terms arising from the intrinsic clustering of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Alan F. Heavens , Benjamin Joachimi

We present analyses of the two-point correlation function derived from an all-sky redshift survey of 5313 galaxies extracted from the Infrared Astronomical Satellite (IRAS) database. The redshift space correlation function \xi(s) is well…

Astrophysics · Physics 2015-06-24 Karl B. Fisher , Marc Davis , Michael A. Strauss , Amos Yahil , John Huchra
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