Renormalon effect of quasi-PDF in gradient flow formalism

Abstract

We investigate the behavior of renormalon ambiguities in the context of quasi-parton distribution functions (quasi-PDFs) defined using gradient-flowed fields. We examine how this impacts the UV and IR renomalons. Using the large $\beta_0$ approximation, we find that UV renormalons for zero external momentum quasi-PDF are eliminated by the flow, while IR renormalons persist but are modified at finite flow time. Moreover, we observe that large numerical coefficients associated with flowed operators can enhance power-suppressed contributions, making higher-dimensional operators non-negligible even at small flow times.