# A redshift-distortion-free correlation function at third order in the non-linear regime

@article{Meng2010ARC, title={A redshift-distortion-free correlation function at third order in the non-linear regime}, author={Kelai Meng and Jun Pan and Istvan Szapudi and Long-Long Feng}, journal={Monthly Notices of the Royal Astronomical Society}, year={2010}, volume={413}, pages={1700-1708} }

The zeroth-order component of the cosine expansion of the projected three-point correlation function is proposed for the clustering analysis of cosmic large-scale structure. These functions are third-order statistics but can be measured similarly to the projected two-point correlations. Numerical experiments with N-body simulations indicate that the advocated statistics are redshift distortion free within 10 per cent in the non-linear regime on scales of similar to 0.2-10 h-1 Mpc. The halo…

## References

SHOWING 1-10 OF 66 REFERENCES

The monopole moment of the three-point correlation function of the two-degree Field Galaxy Redshift Survey

- Physics
- 2005

We measure the monopole moment of the three-point correlation function on scales 1-70 h -1 Mpc in the two-degree Field Galaxy Redshift Survey (2dFGRS). Volume-limited samples are constructed using a…

Halo Profiles and the Nonlinear Two- and Three-Point Correlation Functions of Cosmological Mass Density.

- Physics, MedicineThe Astrophysical journal
- 2000

In high-resolution N-body simulations of both the n=-2 scale-free model and the cold dark matter model, it is found that Q at late times is not constant but increases with wavenumber far into the nonlinear regime.

The three‐point correlation function in cosmology

- Physics
- 2003

With the advent of high-quality surveys in cosmology, the full three-point correlation function (3PCF) will be a valuable statistic for describing structure formation models. It contains information…

Cosmological three-point function: Testing the halo model against simulations

- Physics
- 2005

We perform detailed comparison of the semianalytic halo model predictions with measurements in numerical simulations of the two- and three-point correlation functions, as well as power spectrum and…

Redshift-space distortions with the halo occupation distribution – II. Analytic model

- Physics
- 2007

We present an analytic model for the galaxy two-point correlation function in redshift space. The cosmological parameters of the model are the matter density Ω m , power spectrum normalization σ 8 ,…

PROJECTED THREE-POINT CORRELATION FUNCTIONS AND GALAXY BIAS

- Physics
- 2004

The three-point correlation function (3PCF) can now be measured in large galaxy redshift surveys, but in three dimensions its interpretation is complicated by the presence of redshift-space…

THREE-POINT CORRELATION FUNCTIONS OF SDSS GALAXIES: LUMINOSITY AND COLOR DEPENDENCE IN REDSHIFT AND PROJECTED SPACE

- Physics
- 2011

The three-point correlation function (3PCF) provides an important view into the clustering of galaxies that is not available to its lower order cousin, the two-point correlation function (2PCF).…

Large‐scale bias in the Universe — II. Redshift‐space bispectrum

- Physics
- 1998

The determination of the density parameter 0 from the large-scale distribution of galaxies is one of the major goals of modern cosmology. However, if galaxies are biased tracers of the underlying…

An analytical model for the non-linear redshift-space power spectrum

- Physics
- 2002

We use N-body simulations to test the predictions of redshift distortion in the power spectrum given by the halo model in which the clustering of dark matter particles is considered as a result both…

The three-point correlation function of galaxies: comparing halo occupation models with observations

- Physics
- 2004

We present models for the three-point correlation function (3PCF) of both dark matter and galaxies. We show that models based on the halo model can reasonably match the dark-matter 3PCF obtained from…