Fast WMAP Likelihood Code and GSR PC Functions
Abstract
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 scalefree 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 singlefield 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 30800 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.
 Publication:

Astrophysics Source Code Library
 Pub Date:
 October 2010
 Bibcode:
 2010ascl.soft10010D
 Keywords:

 Software