Using the latest release from WMAP, I find that for a reasonable number of e-folds the tree-level potential with self coupling power p=3 is now excluded from the 2-sigma region, the axion monodromy model with the power alpha=2/3 is now excluded from the 1-sigma confidence region for N=47 e-folds and for N=61. alpha=2/5 is also excluded from the 2-sigma region for N=61. I also find that since the upper bound on the running has been reduced, a significant abundance of PBHs requires fractional powers of self-coupling in the Hilltop-type model.
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