Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
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arXiv
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917169158160384 |
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| author | Wang, Sheng-Quan Liao, Zuo-Fen Shen, Jian-Ming Zhou, Hua Zhang, Jia-Wei Yan, Jiang Wu, Xing-Gang Di Giustino, Leonardo |
| author_facet | Wang, Sheng-Quan Liao, Zuo-Fen Shen, Jian-Ming Zhou, Hua Zhang, Jia-Wei Yan, Jiang Wu, Xing-Gang Di Giustino, Leonardo |
| contents | NNLO QCD corrections for the pion electromagnetic form factor at large momentum transfer have been recently performed in [Phys. Rev. Lett. 132, 201901 (2024); Phys. Rev. Lett. 134, 221901 (2025)], revealing that the NLO and NNLO contributions are positive and sizeable. Unfortunately, these predictions have been obtained using the conventional scale-setting method and thus they are plagued by large renormalization scale ambiguities. In this paper, we analyze the pion electromagnetic form factor at NNLO by applying the Principle of Maximum Conformality (PMC), which is introduced with the aim of resolving renormalization scheme and scale ambiguities. By applying the PMC, a more precise perturbative QCD (pQCD) prediction for the pion EMFF \(Q^2F_π(Q^2)\) without conventional renormalization scale ambiguity can be achieved. This improved pQCD prediction is highly beneficial for the precise determination of the pion light-cone distribution amplitude. We then conduct a comprehensive comparison between theoretical predictions and experimental measurements of the pion EMFF \(Q^2F_π(Q^2)\). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20479 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections Wang, Sheng-Quan Liao, Zuo-Fen Shen, Jian-Ming Zhou, Hua Zhang, Jia-Wei Yan, Jiang Wu, Xing-Gang Di Giustino, Leonardo High Energy Physics - Phenomenology High Energy Physics - Experiment NNLO QCD corrections for the pion electromagnetic form factor at large momentum transfer have been recently performed in [Phys. Rev. Lett. 132, 201901 (2024); Phys. Rev. Lett. 134, 221901 (2025)], revealing that the NLO and NNLO contributions are positive and sizeable. Unfortunately, these predictions have been obtained using the conventional scale-setting method and thus they are plagued by large renormalization scale ambiguities. In this paper, we analyze the pion electromagnetic form factor at NNLO by applying the Principle of Maximum Conformality (PMC), which is introduced with the aim of resolving renormalization scheme and scale ambiguities. By applying the PMC, a more precise perturbative QCD (pQCD) prediction for the pion EMFF \(Q^2F_π(Q^2)\) without conventional renormalization scale ambiguity can be achieved. This improved pQCD prediction is highly beneficial for the precise determination of the pion light-cone distribution amplitude. We then conduct a comprehensive comparison between theoretical predictions and experimental measurements of the pion EMFF \(Q^2F_π(Q^2)\). |
| title | Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2507.20479 |