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 .