Multiple methods for estimating the bispectrum of the cosmic microwave background with application to the MAXIMA data

Monthly Notices of the Royal Astronomical Society 341:2 (2003) 623-643

Authors:

MG Santos, A Heavens, A Balbi, J Borrill, PG Ferreira, S Hanany, AH Jaffe, AT Lee, B Rabii, PL Richards, GF Smoot, R Stompor, CD Winant, JHP Wu

Abstract:

We describe different methods for estimating the bispectrum of cosmic microwave background data. In particular, we construct a minimum-variance estimator for the flat-sky limit and compare results with previously studied frequentist methods. Application to the MAXIMA data set shows consistency with primordial Gaussianity. Weak quadratic non-Gaussianity is characterized by a tunable parameter fNL, corresponding to non-Gaussianity at a level of ∼10-5 fNL (the ratio of non-Gaussian to Gaussian terms), and we find limits of fNL = 1500 ± 950 for the minimum-variance estimator and fNL = 2700 ± 1650 for the usual frequentist estimator. These are the tightest limits on primordial non-Gaussianity, which include the full effects of the radiation transfer function.

An estimate of \Omega_m without priors

(2003)

Authors:

Hume A Feldman, Roman Juszkiewicz, Pedro Ferreira, Marc Davis, Enrique Gaztanaga, James N Fry, Andrew Jaffe, Scott W Chambers, Luiz da Costa, Mariangela Bernardi, Riccardo Giovanelli, Martha P Haynes, Gary Wegner

An estimate of Ω_m without priors

ArXiv astro-ph/0305078 (2003)

Authors:

Hume A Feldman, Roman Juszkiewicz, Pedro Ferreira, Marc Davis, Enrique Gaztanaga, James N Fry, Andrew Jaffe, Scott W Chambers, Luiz da Costa, Mariangela Bernardi, Riccardo Giovanelli, Martha P Haynes, Gary Wegner

Abstract:

Using mean relative peculiar velocity measurements for pairs of galaxies, we estimate the cosmological density parameter $\Omega_m$ and the amplitude of density fluctuations $\sigma_8$. Our results suggest that our statistic is a robust and reproducible measure of the mean pairwise velocity and thereby the $\Omega_m$ parameter. We get $\Omega_m = 0.30^{+0.17}_{-0.07}$ and $\sigma_8 = 1.13^{+0.22}_{-0.23}$. These estimates do not depend on prior assumptions on the adiabaticity of the initial density fluctuations, the ionization history, or the values of other cosmological parameters.

Emission line widths and QSO black hole mass estimates from the 2dF QSO Redshift Survey

ArXiv astro-ph/0304541 (2003)

Authors:

EA Corbett, SM Croom, BJ Boyle, H Netzer, L Miller, PJ Outram, T Shanks, RJ Smith, K Rhook

Abstract:

We have used composite spectra generated from more than 22000 QSOs observed in the course of the 2dF and 6dF QSO Redshift Surveys to investigate the relationship between the velocity width of emission lines and QSO luminosity. We find that the velocity width of the broad emission lines Hbeta, Hgamma, MgII, CIII] and CIV are correlated with the continuum luminosity, with a significance of more than 99 per cent. Of the major narrow emission lines ([OIII] 5007, [OII] 3727, NeIII 3870 and NeV 3426) only [OIII] exhibits a significant correlation between line width and luminosity. Assuming that the gas is moving in Keplerian orbits and that the radius of the broad line region is related to the QSO continuum luminosity, we use the velocity widths of the broad lines to derive average black hole masses for the QSOs contributing to the composite spectra. The resultant QSO mass-luminosity relationship is consistent with M ~ L^0.97+-0.16. We find that the correlation between line width and redshift, if present, must be weak, and only CIV shows significant evidence of evolution. This enables us to constrain the redshift evolution of the black hole mass-luminosity ratio to be ~(1+z)^beta with beta ~< 1, much less than the ~(1+z)^3 evolution seen in QSO luminosity evolution. Assuming that the motion of the broad line region gas is Keplerian and that its radius depends on the QSO luminosity, our models indicate that the observed weak redshift dependence is too small for the observed QSO luminosity function to be due to the evolution of a single long-lived population of sources.

Ghosts of the Milky Way: a search for topology in new quasar catalogues

(2003)

Authors:

SJ Weatherley, SJ Warren, SM Croom, RJ Smith, BJ Boyle, T Shanks, L Millar, MP Baltovic