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Main Authors: Wang, Rong, Han, Chengdong, Chen, Xurong
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.16122
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author Wang, Rong
Han, Chengdong
Chen, Xurong
author_facet Wang, Rong
Han, Chengdong
Chen, Xurong
contents A novel approach for describing the evolution of nucleon structure from the low-$Q^2$ regime to the high-$Q^2$ asymptotic region is proposed. This infrared-safe scheme modifies the parton distribution evolution equations to incorporate the corrections from emergent hadron mass mechanisms and parton-parton recombination at low $Q^2$. The effective parton mass, generated by dynamical chiral symmetry breaking, slows the evolution of parton distributions in the infrared region, causing the DGLAP evolution to freeze when $Q^2\ll M_{\rm q/g}$. Notably, this scheme renders the high-$Q^2$ parton distributions insensitive to the choice of input hadronic scale. The parton-parton recombination effect is crucial in suppressing the rapid growth of parton distributions at small $x$, consistent with experimental data. When applied to three valence quark distributions derived from a quark model, our scheme yields parton distributions that agree well with deep-inelastic scattering data in both large-$x$ and small-$x$ regions, providing a unified description of nucleon structure across the entire $Q^2$ range.
format Preprint
id arxiv_https___arxiv_org_abs_2407_16122
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unifying the landscape of nucleon structure: an infrared-safe evolution scheme
Wang, Rong
Han, Chengdong
Chen, Xurong
High Energy Physics - Phenomenology
A novel approach for describing the evolution of nucleon structure from the low-$Q^2$ regime to the high-$Q^2$ asymptotic region is proposed. This infrared-safe scheme modifies the parton distribution evolution equations to incorporate the corrections from emergent hadron mass mechanisms and parton-parton recombination at low $Q^2$. The effective parton mass, generated by dynamical chiral symmetry breaking, slows the evolution of parton distributions in the infrared region, causing the DGLAP evolution to freeze when $Q^2\ll M_{\rm q/g}$. Notably, this scheme renders the high-$Q^2$ parton distributions insensitive to the choice of input hadronic scale. The parton-parton recombination effect is crucial in suppressing the rapid growth of parton distributions at small $x$, consistent with experimental data. When applied to three valence quark distributions derived from a quark model, our scheme yields parton distributions that agree well with deep-inelastic scattering data in both large-$x$ and small-$x$ regions, providing a unified description of nucleon structure across the entire $Q^2$ range.
title Unifying the landscape of nucleon structure: an infrared-safe evolution scheme
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2407.16122