Fast WMAP Likelihood Code and GSR PC Functions

Details Fast WMAP Likelihood Code and GSR PC Functions Fast WMAP Likelihood Code and GSR PC Functions

Oct 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ascl.soft10010d&link_type=abstract

Astrophysics Source Code Library, record ascl:1010.010

Astronomy and Astrophysics

Astrophysics

Scientific paper

We place functional constraints on the shape of the inflaton potential from the cosmic microwave background through a variant of the generalized slow roll approximation that allows large amplitude, rapidly changing deviations from scale-free conditions. Employing a principal component decomposition of the source function G'~3(V'/V)^2 - 2V''/V and keeping only those measured to better than 10 % results in 5 nearly independent Gaussian constraints that maybe used to test any single-field inflationary model where such deviations are expected. The first component implies < 3 % variations at the 100 Mpc scale. One component shows a 95 % CL preference for deviations around the 300 Mpc scale at the ~10 % level but the global significance is reduced considering the 5 components examined. This deviation also requires a change in the cold dark matter density which in a flat LCDM model is disfavored by current supernova and Hubble constant data and can be tested with future polarization or high multipole temperature data. Its impact resembles a local running of the tilt from multipoles 30-800 but is only marginally consistent with a constant running beyond this range. For this analysis, we have implemented a ~40x faster WMAP7 likelihood method which we have made publicly available.

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