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Main Author: Zhang, Jia-lu
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.18233
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author Zhang, Jia-lu
author_facet Zhang, Jia-lu
contents 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 $β_0$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_18233
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Renormalon effect of quasi-PDF in gradient flow formalism
Zhang, Jia-lu
High Energy Physics - Phenomenology
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 $β_0$ 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.
title Renormalon effect of quasi-PDF in gradient flow formalism
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.18233