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We develop a variant of the generalized slow roll approach for calculatingthe curvature power spectrum that is well-suited for order unity deviations inpower caused by sharp features in the inflaton potential. As an example, weshow that predictions for a step function potential, which has been proposed toexplain order unity glitches in the CMB temperature power spectrum atmultipoles l=20-40, are accurate at the percent level. Our analysis shows thatto good approximation there is a single source function that is responsible forobservable features and that this function is simply related to the local slopeand curvature of the inflaton potential. These properties should make thegeneralized slow roll approximation useful for inflation-model independentstudies of features, both large and small, in the observable power spectra.

Generalized Slow Roll for Large Power Spectrum Features