Likelihood Analysis of Degree-Scale Anisotropy Experiments Compared with COBE

Astronomy and Astrophysics – Astronomy

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Scientific paper

Comparing the large angular scale Delta T observed by the COBE DMR experiment to the Delta T observed by balloon and ground-based experiments at degree scales is one of the best ways to test the inflationary scenario through its prediction of (almost) equal power on all scales. We have computed likelihood functions for the Schuster et al. (1993) South Pole (SP91) Delta T data on 1(deg) scales given models based on the Holtzman (1989) calculations scaled by a linear bias factor. Our calculations explicitly include the sinusoidal chop and the linear baseline removal used in this experiment. While our results confirm the result based on a simple analysis assuming that SP91 is a single subtracted experiment with a 1.5(deg) FWHM Gaussian beam and a 2.1(deg) square-wave chop that the maximum likelihood for SP91 is given by a bias factor roughly twice as large as the bias needed to match the COBE large-scale Delta T, we have used the joint likelihood of the COBE Delta T at l ~ 4 (taken from Wright et al. 1994) and the SP91 data at l ~ 44 to compute limits on the spectral index n of the power spectrum of primordial perturbations P(k) ~ k(n) . A similar analysis using the results of the MAX experiment at l ~ 110 will also be given. {The National Aeronautics and Space Administration/Goddard Space Flight Center (NASA/GSFC) is responsible for the design, development, and operation of the Cosmic Background Explorer (COBE). Scientific guidance is provided by the COBE Science Working Group. final GSFC is also responsible for the development of the analysis software and for the production of the mission data sets.}

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