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Single-field models of inflation might lead to amplified scalar fluctuationson small scales due, for example, to a transient ultra-slow-roll phase. It wasargued by Kristiano $\&$ Yokoyama in arXiv:2211.03395 that the enhancedamplitude of the scalar power spectrum on small scales has the potential toinduce a sizeable 1-loop correction to the spectrum at large scales. In thiswork, we repeat the calculation for the 1-loop correction presented inarXiv:2211.03395. We closely follow their assumptions but evaluate the loopnumerically. This allows us to consider both instantaneous and smoothtransitions between the slow-roll and ultra-slow-roll phases. In particular, wegenerate models featuring realistic, smooth evolution from an analyticinflationary potential. We find that, upon fixing the amplitude of the peak inthe power spectrum at short scales, the resulting 1-loop correction is notsignificantly reduced by considering a smooth evolution. In particular, for apower spectrum with a tree-level peak amplitude potentially relevant forsmall-scale phenomenology, e.g. primordial black hole production, the 1-loopcorrection on large scales is a few percent of the tree-level power spectrum.

Numerical 1-loop correction from a potential yielding ultra-slow-roll dynamics