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Main Authors: Yu, Wenyan, Yang, Weihua, Yang, Xing-hua
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.18080
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author Yu, Wenyan
Yang, Weihua
Yang, Xing-hua
author_facet Yu, Wenyan
Yang, Weihua
Yang, Xing-hua
contents The charged current weak interaction can distinguish quark flavors, it provides a valid method to determine (transverse momentum dependent) parton distribution functions in high energy reactions by utilizing tagged hadrons. In this paper, we calculate the charged current semi-inclusive deeply inelastic neutrino and anti-neutrino scattering of $N=Z$ nuclei. Semi-inclusive means that a spin-1 hadron is also measured in addition to the scattered charged lepton. The target nucleus has the same number of neutrons and protons and is assumed as unpolarized. According to calculations, we find that only chiral-even terms survive and chiral-odd terms vanish in the differential cross section for this charged current deeply inelastic (anti-)neutrino nucleus scattering process. Furthermore, we introduce a measurable quantity, the yield asymmetry of the produced hadron $A^h$, to determine the nuclear parton distribution functions. Numerical estimates show that the yield asymmetry is independent of the type of target nucleus if it has the same number of neutrons and protons. Numerical estimates also show that sea quark distribution functions and disfavored fragmentation functions have significant influence on measurable quantities.
format Preprint
id arxiv_https___arxiv_org_abs_2411_18080
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hadron production in the charged current semi-inclusive deeply inelastic scattering of $N=Z$ nuclei
Yu, Wenyan
Yang, Weihua
Yang, Xing-hua
High Energy Physics - Phenomenology
The charged current weak interaction can distinguish quark flavors, it provides a valid method to determine (transverse momentum dependent) parton distribution functions in high energy reactions by utilizing tagged hadrons. In this paper, we calculate the charged current semi-inclusive deeply inelastic neutrino and anti-neutrino scattering of $N=Z$ nuclei. Semi-inclusive means that a spin-1 hadron is also measured in addition to the scattered charged lepton. The target nucleus has the same number of neutrons and protons and is assumed as unpolarized. According to calculations, we find that only chiral-even terms survive and chiral-odd terms vanish in the differential cross section for this charged current deeply inelastic (anti-)neutrino nucleus scattering process. Furthermore, we introduce a measurable quantity, the yield asymmetry of the produced hadron $A^h$, to determine the nuclear parton distribution functions. Numerical estimates show that the yield asymmetry is independent of the type of target nucleus if it has the same number of neutrons and protons. Numerical estimates also show that sea quark distribution functions and disfavored fragmentation functions have significant influence on measurable quantities.
title Hadron production in the charged current semi-inclusive deeply inelastic scattering of $N=Z$ nuclei
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2411.18080