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2007, Astronomy and Astrophysics
Aims. Analyses of recent cosmic microwave background (CMB) observations have provided increasing hints that there are deviations in the universe from statistical isotropy on large scales. Given the far reaching consequences of such an anisotropy for our understanding of the universe, it is important to employ alternative indicators in order to determine whether the reported anisotropy is cosmological in origin and, if so, extract information that may be helpful for identifying its causes. Methods. Here we propose a new directional indicator, based on separation histograms of pairs of pixels, which provides a measure of departure from statistical isotropy. The main advantage of this indicator is that it generates a sky map of large-scale anisotropies in the CMB temperature map, thus allowing a possible additional window into their causes. Results. Using this indicator, we find statistically significant excess of large-scale anisotropy at well over the 95% confidence level. This anisotropy defines a preferred direction in the CMB data. We discuss the statistical significance of this direction compared to Monte Carlo data obtained under the statistical isotropy hypothesis, and also compare it with other such axes recently reported in the literature. In addition we show that our findings are robust with respect to the details of the method used, so long as the statistical noise is kept under control; and they remain unchanged compared to the foreground cleaning algorithms used in CMB maps. We also find that the application of our method to the first and three-year WMAP data produces similar results.
Nuclear Physics B - Proceedings Supplements, 1994
1993
If the Universe is open, scales larger than the curvature scale may be probed by large-angle fluctuations in the cosmic microwave background (CMB). We consider primordial adiabatic perturbations and discuss power spectra that are power laws in volume, wavelength, and eigenvalue of the Laplace operator. The resulting large-angle anisotropies of the CMB are computed. The amplitude generally increases as Ω is decreased, but decreases as h is increased. Interestingly enough, for all three ansatzes, anisotropies on angular scales larger than the curvature scale are suppressed relative to the anisotropies on scales smaller than the curvature scale. Models with 0.2<Ω h<0.3 appear compatible with CMB fluctuations detected by COBE and Tenerife and with the amplitude and spectrum of fluctuations of galaxy counts in galaxy surveys. COBE normalization for these models yields σ_8≃ 0.5-0.7. Models with smaller values of Ω h when normalized to COBE require bias factors in excess of 2 to be c...
The Astrophysical Journal, 2003
The statistical expectation values of the temperature fluctuations of cosmic microwave background (CMB) are assumed to be preserved under rotations of the sky. This assumption of statistical isotropy (SI) of the CMB anisotropy should be observationally verified since detection of violation of SI could have profound implications for cosmology. We propose a set of measures, κ ℓ (ℓ = 1, 2, 3, . . .) for detecting violation of statistical isotropy in an observed CMB anisotropy sky map indicated by non zero κ ℓ . We define an estimator for the κ ℓ spectrum and analytically compute its cosmic bias and cosmic variance. The results match those obtained by measuring κ ℓ using simulated sky maps. Non-zero (bias corrected) κ ℓ larger than the SI cosmic variance will imply violation of SI. The SI measure proposed in this paper is an appropriate statistics to investigate preliminary indication of SI violation in the recently released WMAP data.
Monthly Notices of the Royal Astronomical Society, 2021
The origin of power asymmetry and other measures of statistical anisotropy on the largest scales of the universe, as manifested in cosmic microwave background (CMB) and large-scale structure data, is a long-standing open question in cosmology. In this paper, we analyse the Planck Legacy temperature anisotropy data and find strong evidence for a violation of the Cosmological principle of isotropy, with a probability of being a statistical fluctuation of the order of ∼10−9. The detected anisotropy is related to large-scale directional ΛCDM cosmological parameter variations across the CMB sky, which are sourced by three distinct patches in the maps with circularly averaged sizes between 40° and 70° in radius. We discuss the robustness of our findings to different foreground separation methods and analysis choices, and find consistent results from WMAP data when limiting the analysis to the same scales. We argue that these well-defined regions within the cosmological parameter maps may ...
The Astrophysical Journal, 1995
We detect anisotropy in the cosmic microwave background (CMB) at degree angular scales and confirm a previous detection reported by . The root-mean-squared amplitude of the fluctuations is 44 +13 −7 µK. This may be expressed as the square root of the angular power spectrum in a band of multipoles between l ef f = 69 +29 −22 . We find δT l = l(2l + 1) < |a m l | 2 > /4π = 42 +12 −7 µK. The measured spectral index of the fluctuations is consistent with zero, the value expected for the CMB. The spectral index corresponding to Galactic free-free emission, the most likely foreground contaminant, is rejected at approximately 3σ.
Pramana, 2006
Measurements of CMB anisotropy and, more recently, polarization have played a very important role allowing precise determination of various parameters of the 'standard' cosmological model. The expectation of the paradigm of inflation and the generic prediction of the simplest realization of inflationary scenario in the early universe have also been established-'acausally' correlated initial perturbations in a flat, statistically isotropic universe, adiabatic nature of primordial density perturbations. Direct evidence for gravitational instability mechanism for structure formation from primordial perturbations has been established. In the next decade, future experiments promise to strengthen these deductions and uncover the remaining crucial signature of inflation-the primordial gravitational wave background.
The Astrophysical Journal, 2000
We report a measurement of anisotropy in the cosmic microwave background radiation (CMBR) on 7 ′ − 22 ′ scales. Observations of 36 fields near the North Celestial Pole (NCP) were made at 31.7 and 14.5 GHz, using the 5.5-meter and 40-meter telescopes at the Owens Valley Radio Observatory (OVRO) from 1993 to 1996. Multi-epoch VLA observations at 8.5 and 15 GHz allow removal of discrete source contamination. After point-source subtraction, we detect significant structure, which we identify with emission from a combination of a steep-spectrum foreground and the CMBR. The foreground component is found to correlate with IRAS 100 µm dust emission. Lack of Hα emission near the NCP suggests that this foreground is either high-temperature thermal bremsstrahlung (T e ∼ > 10 6 K), flat-spectrum synchrotron or an exotic component of dust emission. On the basis of low-frequency maps of the NCP, we can restrict the spectral index of the foreground to β ≥ −2.2. Although the foreground signal dominates at 14.5 GHz, the extracted CMBR component contributes 88% of the variance at 31.7 GHz, yielding an rms fluctuation amplitude of 82 +12.1 −9.1 µK, including 4.3% calibration uncertainty and 12% sample variance (68% confidence). In terms of the angular power spectrum, C l = |a m l | 2 , averaged over a range of multipoles l = 361 − 756, the detected broadband amplitude is δT le ≡ [l(l + 1)C l /2π] 1/2 = 59 +8.6 −6.5 µK. This measurement, when combined with small angular-scale upper limits obtained at the OVRO, indicates that the CMBR angular power spectrum decreases between l ∼ 600 and l ∼ 2000 and is consistent with flat cosmological models. Subject headings: cosmic microwave background-cosmology: observations
Astrophysics and Space Science, 2000
After recalling the current understanding of the formation of the large scale structures of the Universe which the distribution of galaxies revealed, I review what the imprint on the Cosmic Microwave Background (CMB) of the seeds of these structures can tell us, has already told us, and what it should tell us within the next five years.
The Astrophysical …, 2004
We report on the results from two independent but complementary statistical analyses of the WMAP first-year data, based on the power spectrum and N-point correlation functions. We focus on large and intermediate scales (larger than about 3 •) and compare the observed data against Monte Carlo ensembles with WMAP-like properties. In both analyses, we measure the amplitudes of the large-scale fluctuations on opposing hemispheres and study the ratio of the two amplitudes. The power-spectrum analysis shows that this ratio for WMAP, as measured along the axis of maximum asymmetry, is high at the 95%-99% level (depending on the particular multipole range included). The axis of maximum asymmetry of the WMAP data is weakly dependent on the multipole range under consideration but tends to lie close to the ecliptic axis. In the N-point correlation function analysis we focus on the northern and southern hemispheres defined in ecliptic coordinates, and we find that the ratio of the large-scale fluctuation amplitudes is high at the 98%-99% level. Furthermore, the results are stable with respect to choice of Galactic cut and also with respect to frequency band. A similar asymmetry is found in the COBE-DMR map, and the axis of maximum asymmetry is close to the one found in the WMAP data. Subject headings: cosmic microwave background-cosmology: observations-methods: statistical
The Astrophysical Journal, 1997
We study the anisotropy of the cosmic microwave background (CMB) in cold and mixed dark matter (CDM and MDM) models, with non scale-invariant primordial power spectra (i.e. n = 1) and a late, sudden reionization of the intergalactic medium at redshift z rh . We test these models against recent detections of CMB anisotropy at large and intermediate angular scales. We find that current CMB anisotropy measurements cannot discriminate between CDM and MDM models. Our likelihood analysis indicates that models with blue power spectra (n ≃ 1.2) and a reionization at z rh ∼ 20 are most consistent with the anisotropy data considered here. Without reionization our analysis gives 1.0 ≤ n ≤ 1.26 (95% C.L.) for Ω b = 0.05.
The Astrophysical Journal, 2004
We report on the results from two independent but complementary statistical analyses of the WMAP first-year data, based on the power spectrum and N-point correlation functions. We focus on large and intermediate scales (larger than about 3 •) and compare the observed data against Monte Carlo ensembles with WMAP-like properties. In both analyses, we measure the amplitudes of the large-scale fluctuations on opposing hemispheres and study the ratio of the two amplitudes. The power-spectrum analysis shows that this ratio for WMAP, as measured along the axis of maximum asymmetry, is high at the 95%-99% level (depending on the particular multipole range included). The axis of maximum asymmetry of the WMAP data is weakly dependent on the multipole range under consideration but tends to lie close to the ecliptic axis. In the N-point correlation function analysis we focus on the northern and southern hemispheres defined in ecliptic coordinates, and we find that the ratio of the large-scale fluctuation amplitudes is high at the 98%-99% level. Furthermore, the results are stable with respect to choice of Galactic cut and also with respect to frequency band. A similar asymmetry is found in the COBE-DMR map, and the axis of maximum asymmetry is close to the one found in the WMAP data. Subject headings: cosmic microwave background-cosmology: observations-methods: statistical
Nature, 1992
The cosmic microwave background (CMB) is one of only a few physically observable remnants of the early Universe. Studies of the spectrum, polarization and spatial distribution of the CMB can potentially lead to a detailed understanding of the processes that took place in the early Universe. Many of the outstanding cosmological questions regarding the age, contents, future, and large scale dynamics of the universe are addressed in these studies. In particular, measurements of the spatial anisotropy of the CMB are a very effective method for testing and constraining models of cosmic structure formation.
Space Sciences Series of ISSI, 2002
This paper discusses the status of observations of Cosmic Microwave Background (CMB) anisotropies. The first detections of primary anisotropies in the CMB, achieved about 10 years ago, boosted a large number of ground-based and balloon-borne experiments that have delineated the CMB angular power spectrum up to spherical harmonic multipole ∼ 1000. A wealth of information on cosmological parameters is being revealed by these measurements. Very recently, the positions and amplitudes of the first and second peak in the power spectrum have been determined providing strong support to inflationary models with adiabatic primordial density perturbations. A total density equal to the critical value, and baryonic density consistent with Big Bang nucleosynthesis are the first results emerging from the current CMB data. Future experiments on ground (mainly interferometers), in balloons and from space (MAP and Planck missions) have the potential to constrain more than 10 cosmological parameters with high precision.
Arxiv preprint astro-ph/9404072, 1994
We present results from two four-frequency observations centered near the stars Sigma Hercules and Iota Draconis during the fourth flight of the Millimeter-wave Anisotropy eXperiment (MAX). The observations were made of 6° x 0°.6 strips of the sky with a 1°.4 peak to peak sinusoidal chop in all bands. The FWHM beam sizes were 0°.55±0°.05 at 3.5 cm-1 and a 0°.75±0°.05 at 6, 9, and 14 cm-1. Significant correlated structures were observed at 3.5, 6 and 9 cm-1. The spectra of these signals are inconsistent with thermal emission from known interstellar dust populations. The extrapolated amplitudes of synchrotron and free-free emission are too small to account for the amplitude of the observed structures. If the observed structures are attributed to CMB anisotropy with a Gaussian autocorrelation function and a coherence angle of 25', then the most probable values are ∆T/T CMB = 3.1 −1.3 +1.7 × 10 −5 for the Sigma Hercules scan, and ∆T/T CMB = 3.3 −1.1 +1.1 × 10 −5 for the Iota Draconis scan (95% confidence upper and lower limits).
Pramana, 2004
The breakdown of statistical homogeneity and isotropy of cosmic perturbations is a generic feature of ultra large scale structure of the cosmos, in particular, of non trivial cosmic topology. The statistical isotropy (SI) of the Cosmic Microwave Background temperature fluctuations (CMB anisotropy) is sensitive to this breakdown on the largest scales comparable to, and even beyond the cosmic horizon. We propose a set of measures, κ ℓ (ℓ = 1, 2, 3, . . .) which for non-zero values indicate and quantify statistical isotropy violations in a CMB map. We numerically compute the predicted κ ℓ spectra for CMB anisotropy in flat torus universe models. Characteristic signature of different models in the κ ℓ spectrum are noted.
The Astrophysical Journal, 1994
In many cosmological models, the large angular scale anisotropy in the cosmic microwave background is parameterized by a spectral index, n, and a quadrupolar amplitude, Q. For a Peebles-Harrison-Zel'dovich spectrum, n = 1. Using data from the Far Infra-Red Survey (FIRS) and a new statistical measure, a contour plot of the likelihood for cosmological models for which −1 < n < 3 and 0 ≤ Q ≤ 50 µK is obtained. We find that the likelihood is maximum at (n, Q) = (1.0, 19 µK). For constant n the likelihood falls to half its maximum at Q ≈ 14 µK and 25 µK and for constant Q the likelihood falls to half its maximum at n ≈ 0.5 and 1.4. Regardless of Q, the likelihood is always less than half its maximum for n < −0.4 and for n > 2.2, as it is for Q < 8 µK and Q > 44 µK.
Astrophysical Journal, 2001
We extend the analysis of the MAXIMA-1 cosmic microwave background (CMB) data to smaller angular scales. MAXIMA, a bolometric balloon experiment, mapped a 124 deg$^2$ region of the sky with 10\arcmin resolution at frequencies of 150, 240 and 410 GHz during its first flight. The original analysis, which covered the multipole range $36 \leq \ell \leq 785$, is extended to $\ell = 1235$ using data from three 150 GHz photometers in the fully cross-linked central 60 deg$^2$ of the map. The main improvement over the original analysis is the use of 3\arcmin square pixels in the calculation of the map. The new analysis is consistent with the original for $\ell < 785$. For $\ell > 785$, where inflationary models predict a third acoustic peak, the new analysis shows power with an amplitude of $56 \pm 7$ \microk at $\ell \simeq 850$ in excess to the average power of $42 \pm 3$ \microk in the range $441 < \ell < 785$.
2003
Several experiments (including BOOMERanG, MAXIMA, DASI, VSA, CBI) have recently detected very low contrast structures in the Cosmic Microwave Background (CMB), the otherwise isotropic radiation coming from the early Universe. These structures have a contrast of the order of 25 ppm and a dominant angular size of one degree. In the current cosmological model, these structures result from acoustic oscillations of the primeval plasma within the horizon at recombination (z ∼ 1100). In the framework of the Hot Big Bang theory with the inflationary hypothesis, the statistical properties of the image of the CMB allow us to measure most of the cosmological parameters.
The Astrophysical Journal, 1993
We report a measurement of anisotropy in the cosmic microwave background radiation (CMBR) on 7@È22@ scales. Observations of 36 Ðelds near the North Celestial Pole (NCP) were made at 31.7 and 14.5 GHz, using the 5.5 m and 40 m telescopes at the Owens Valley Radio Observatory (OVRO) from 1993 to 1996. Multiepoch VLA observations at 8.5 and 15 GHz allow removal of discrete source contamination. After point-source subtraction, we detected signiÐcant structure, which we identify with emission from a combination of a steep-spectrum foreground and the CMBR. The foreground component is found to correlate with IRAS 100 km dust emission. Lack of Ha emission near the NCP suggests that this foreground is either high-temperature thermal bremsstrahlung K), Ñat-spectrum synchro-(T e Z 106 tron, or an exotic component of dust emission. On the basis of low-frequency maps of the NCP, we can restrict the spectral index of the foreground to b º [2.2. Although the foreground signal dominates at 14.5 GHz, the extracted CMBR component contributes 88% of the variance at 31.7 GHz, yielding an rms Ñuctuation amplitude of kK, including 4.3% calibration uncertainty and 12% sample 82~9 .1 12.1 variance (68% conÐdence). In terms of the angular power spectrum, averaged over a range C l \ S o a l m o2T, of multipoles l \ 361È756, the detected broadband amplitude is kK. dT le 4 [l(l ] 1)C l /(2n)]1@2 \ 59~6 .5 8.6 This measurement, when combined with small angular scale upper limits obtained at the OVRO, indicates that the CMBR angular power spectrum decreases between l D 600 and l D 2000 and is consistent with Ñat cosmological models. Subject headings : cosmic microwave background È cosmology : observations
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