Two-Loop Renormalization-Group Evolution for the Nucleon Distribution Amplitude

Fuente: arXiv
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Autores principales: Huang, Yong-Kang, Ji, Yao, Shi, Bo-Xuan, Wang, Yu-Ming
Formato: Preprint
Publicado: 2025
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author Huang, Yong-Kang
Ji, Yao
Shi, Bo-Xuan
Wang, Yu-Ming
author_facet Huang, Yong-Kang
Ji, Yao
Shi, Bo-Xuan
Wang, Yu-Ming
contents We determine for the first time the two-loop renormalization-group (RG) equation for the nucleon light-cone distribution amplitude, which constitutes the last missing ingredient for the complete next-to-leading-logarithmic corrections to the nucleon form factors in the hard-collinear factorization framework. Applying the conformal expansion for this fundamental nucleon distribution amplitude then enables us to construct an analytic solution that captures the desired scale dependence of phenomenologically interesting series coefficients. Importantly, the two-loop RG evolutions of these central hadronic quantities can bring about noticeable impacts on the corresponding leading-logarithmic results for three sample models of the nucleon distribution amplitude.
format Preprint
id arxiv_https___arxiv_org_abs_2512_20471
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-Loop Renormalization-Group Evolution for the Nucleon Distribution Amplitude
Huang, Yong-Kang
Ji, Yao
Shi, Bo-Xuan
Wang, Yu-Ming
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
We determine for the first time the two-loop renormalization-group (RG) equation for the nucleon light-cone distribution amplitude, which constitutes the last missing ingredient for the complete next-to-leading-logarithmic corrections to the nucleon form factors in the hard-collinear factorization framework. Applying the conformal expansion for this fundamental nucleon distribution amplitude then enables us to construct an analytic solution that captures the desired scale dependence of phenomenologically interesting series coefficients. Importantly, the two-loop RG evolutions of these central hadronic quantities can bring about noticeable impacts on the corresponding leading-logarithmic results for three sample models of the nucleon distribution amplitude.
title Two-Loop Renormalization-Group Evolution for the Nucleon Distribution Amplitude
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
url https://arxiv.org/abs/2512.20471