# Uncorrelated universe: Statistical anisotropy and the vanishing angular correlation function in WMAP years 1-3

## Abstract

The large-angle (low-l) correlations of the cosmic microwave background (CMB) as reported by the Wilkinson Microwave Anisotropy Probe (WMAP) after their first year of observations exhibited statistically significant anomalies compared to the predictions of the standard inflationary big-bang model. We suggested then that these implied the presence of a solar system foreground, a systematic correlated with solar system geometry, or both. We reexamine these anomalies for the data from the first three years of WMAP's operation. We show that, despite the identification by the WMAP team of a systematic correlated with the equinoxes and the ecliptic, the anomalies in the first-year internal linear combination (ILC) map persist in the three-year ILC map, in all-but-one case at similar statistical significance. The three-year ILC quadrupole and octopole therefore remain inconsistent with statistical isotropy--they are correlated with each other (99.6% C.L.), and there are statistically significant correlations with local geometry, especially that of the solar system. The angular two-point correlation function at scales >60 deg in the regions outside the (kp0) galactic cut, where it is most reliably determined, is approximately zero in all wavebands and is even more discrepant with the best-fit {lambda}CDM inflationary model than in the first-year data--99.97% C.L. formore »

- Authors:

- Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106-7079 (United States)
- Kavli Institute for Cosmological Physics and Department of Astronomy and Astrophysics, University of Chicago, Chicago, Illinois 60637 (United States)
- Fakultaet fuer Physik, Universitaet Bielefeld, Postfach 100131, 33501 Bielefeld (Germany)
- (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20935209

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.023507; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR CORRELATION; ANISOTROPY; CORRELATION FUNCTIONS; GEOMETRY; ISOTROPY; MAPS; QUADRUPOLES; RELICT RADIATION; SOLAR SYSTEM; UNIVERSE

### Citation Formats

```
Copi, Craig J., Huterer, Dragan, Schwarz, Dominik J., Starkman, Glenn D., and Beecroft Institute for Particle Astrophysics and Cosmology, Astrophysics, University of Oxford.
```*Uncorrelated universe: Statistical anisotropy and the vanishing angular correlation function in WMAP years 1-3*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.023507.

```
Copi, Craig J., Huterer, Dragan, Schwarz, Dominik J., Starkman, Glenn D., & Beecroft Institute for Particle Astrophysics and Cosmology, Astrophysics, University of Oxford.
```*Uncorrelated universe: Statistical anisotropy and the vanishing angular correlation function in WMAP years 1-3*. United States. doi:10.1103/PHYSREVD.75.023507.

```
Copi, Craig J., Huterer, Dragan, Schwarz, Dominik J., Starkman, Glenn D., and Beecroft Institute for Particle Astrophysics and Cosmology, Astrophysics, University of Oxford. Mon .
"Uncorrelated universe: Statistical anisotropy and the vanishing angular correlation function in WMAP years 1-3". United States.
doi:10.1103/PHYSREVD.75.023507.
```

```
@article{osti_20935209,
```

title = {Uncorrelated universe: Statistical anisotropy and the vanishing angular correlation function in WMAP years 1-3},

author = {Copi, Craig J. and Huterer, Dragan and Schwarz, Dominik J. and Starkman, Glenn D. and Beecroft Institute for Particle Astrophysics and Cosmology, Astrophysics, University of Oxford},

abstractNote = {The large-angle (low-l) correlations of the cosmic microwave background (CMB) as reported by the Wilkinson Microwave Anisotropy Probe (WMAP) after their first year of observations exhibited statistically significant anomalies compared to the predictions of the standard inflationary big-bang model. We suggested then that these implied the presence of a solar system foreground, a systematic correlated with solar system geometry, or both. We reexamine these anomalies for the data from the first three years of WMAP's operation. We show that, despite the identification by the WMAP team of a systematic correlated with the equinoxes and the ecliptic, the anomalies in the first-year internal linear combination (ILC) map persist in the three-year ILC map, in all-but-one case at similar statistical significance. The three-year ILC quadrupole and octopole therefore remain inconsistent with statistical isotropy--they are correlated with each other (99.6% C.L.), and there are statistically significant correlations with local geometry, especially that of the solar system. The angular two-point correlation function at scales >60 deg in the regions outside the (kp0) galactic cut, where it is most reliably determined, is approximately zero in all wavebands and is even more discrepant with the best-fit {lambda}CDM inflationary model than in the first-year data--99.97% C.L. for the new ILC map. The full-sky ILC map, on the other hand, has a nonvanishing angular two-point correlation function, apparently driven by the region inside the cut, but which does not agree better with {lambda}CDM. The role of the newly-identified low-l systematics is more puzzling than reassuring.},

doi = {10.1103/PHYSREVD.75.023507},

journal = {Physical Review. D, Particles Fields},

number = 2,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}