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Main Authors: Xu, Zhen, Zhu, Hua Xing
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.11595
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author Xu, Zhen
Zhu, Hua Xing
author_facet Xu, Zhen
Zhu, Hua Xing
contents Large double-logarithmic corrections are induced by soft gluon emissions near threshold in the semi-inclusive $e^+e^-$ annihilation (SIA) distributions, and must be resummed to all-orders in perturbation theory for reliable theoretical predictions. Building on strategy developed for threshold resummation for DIS structure function in momentum space using soft-collinear effective theory (SCET), we present the explicit formalism for SIA cross section. We then perform the resummation directly in momentum space for $γ^* \to q \bar q$, $H \to gg$ and $H \to b\bar b$ to N$^4$LL accuracy and demonstrate good convergence. We anticipate that these results will benefit the extraction of the light-quark, the heavy-quark as well as the gluon fragmentation functions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11595
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory
Xu, Zhen
Zhu, Hua Xing
High Energy Physics - Phenomenology
Large double-logarithmic corrections are induced by soft gluon emissions near threshold in the semi-inclusive $e^+e^-$ annihilation (SIA) distributions, and must be resummed to all-orders in perturbation theory for reliable theoretical predictions. Building on strategy developed for threshold resummation for DIS structure function in momentum space using soft-collinear effective theory (SCET), we present the explicit formalism for SIA cross section. We then perform the resummation directly in momentum space for $γ^* \to q \bar q$, $H \to gg$ and $H \to b\bar b$ to N$^4$LL accuracy and demonstrate good convergence. We anticipate that these results will benefit the extraction of the light-quark, the heavy-quark as well as the gluon fragmentation functions.
title Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2411.11595