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Keywords
(8)
Angular Distribution
Cosmological Parameter
Dipole Moment
Large Scale
Near Infrared
Confidence Level
Local Group
Power Spectrum
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Is the 2MASS clustering dipole convergent?
Is the 2MASS clustering dipole convergent?,Maciej Bilicki,Michał Chodorowski,Gary A. Mamon,Thomas Jarrett
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Is the 2MASS clustering dipole convergent?
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Maciej Bilicki
,
Michał Chodorowski
,
Gary A. Mamon
,
Thomas Jarrett
There is a longstanding controversy about the convergence of the
dipole moment
of the galaxy
angular distribution
(the clustering dipole). We study the growth of the clustering dipole of galaxies as a function of the limiting flux of the sample from the Two Micron All Sky Survey (2MASS). Contrary to some earlier claims, we find that the dipole does not converge before the completeness limit of the 2MASS Extended Source Catalog, i.e. up to 13.5 mag in the nearinfrared Ks band (equivalent to an effective distance of 300 Mpc/h). We compare the observed growth of the dipole with the theoretically expected, conditional one (i.e., given the velocity of the
Local Group
relative to the CMB), for the LambdaCDM
power spectrum
and cosmological parameters constrained by WMAP. The observed growth turns out to be within 1sigma
confidence level
of its theoretical counterpart once the proper observational window of the 2MASS fluxlimited catalog is included. For a contrast, if the adopted window is a tophat, then the predicted dipole grows significantly faster and converges (within the errors) to its final value for a distance of about 300 Mpc/h. We show that for a given flux limit and a corresponding distance limit, the 2MASS fluxweighted window passes less largescale signal than the tophat one. We conclude that the growth of the 2MASS dipole for effective distances greater than 200 Mpc/h is only apparent. On the other hand, for a distance of 80 Mpc/h (mean depth of the 2MASS Redshift Survey) and the LambdaCDM power spectrum, the true dipole is expected to reach only ~80% of its final value. Eventually, since for the window function of 2MASS the predicted growth is consistent with the observed one, we can compare the two to evaluate beta = (Omega_m)^{0.55} / b. The result is beta = 0.38 \pm 0.02 (1sigma errors), which gives an estimate of the density parameter Omega_m = 0.20 \pm 0.07.
Published in 2011.
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