Next-to-Next-to-Leading-Order QCD Prediction for the Pion Form Factor
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929579277418496 |
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| author | Ji, Yao Shi, Bo-Xuan Wang, Jian Wang, Ye-Fan Wang, Yu-Ming Yu, Hui-Xin |
| author_facet | Ji, Yao Shi, Bo-Xuan Wang, Jian Wang, Ye-Fan Wang, Yu-Ming Yu, Hui-Xin |
| contents | We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order short-distance matching coefficient is determined by evaluating the appropriate $5$-point QCD amplitude with the modern multi-loop technique and subsequently by implementing the ultraviolet renormalization and infrared subtractions with the inclusion of evanescent operators. The renormalization/factorization scale independence of the obtained form factor is then validated explicitly at ${\cal O}(α_s^3)$. The yielding two-loop QCD correction to this fundamental quantity turns out to be numerically significant at experimentally accessible momentum transfers. We further demonstrate that the newly computed two-loop radiative correction is highly beneficial for an improved determination of the leading-twist pion distribution amplitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03658 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Next-to-Next-to-Leading-Order QCD Prediction for the Pion Form Factor Ji, Yao Shi, Bo-Xuan Wang, Jian Wang, Ye-Fan Wang, Yu-Ming Yu, Hui-Xin High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order short-distance matching coefficient is determined by evaluating the appropriate $5$-point QCD amplitude with the modern multi-loop technique and subsequently by implementing the ultraviolet renormalization and infrared subtractions with the inclusion of evanescent operators. The renormalization/factorization scale independence of the obtained form factor is then validated explicitly at ${\cal O}(α_s^3)$. The yielding two-loop QCD correction to this fundamental quantity turns out to be numerically significant at experimentally accessible momentum transfers. We further demonstrate that the newly computed two-loop radiative correction is highly beneficial for an improved determination of the leading-twist pion distribution amplitude. |
| title | Next-to-Next-to-Leading-Order QCD Prediction for the Pion Form Factor |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2411.03658 |