Applying color-kinematics duality in pure Yang-Mills at three loops
Abstract We present the first application of color-kinematics (CK) duality at the three-loop level in non-supersymmetric pure Yang-Mills (YM) theory. Building on the minimal deformation approach introduced in [1], we extend its use to the three-loop Sudakov form factor. Although three classes of uni...
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| Format: | Article |
| Language: | English |
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2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)011 |
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| author | Zeyu Li Gang Yang Guorui Zhu |
| author_facet | Zeyu Li Gang Yang Guorui Zhu |
| author_sort | Zeyu Li |
| collection | DOAJ |
| description | Abstract We present the first application of color-kinematics (CK) duality at the three-loop level in non-supersymmetric pure Yang-Mills (YM) theory. Building on the minimal deformation approach introduced in [1], we extend its use to the three-loop Sudakov form factor. Although three classes of unitarity cuts fail under the globally off-shell CK-dual ansatz, a compact and elegant solution is achieved by deforming a single master numerator. The final numerators exhibit Lorentz invariance in d dimensions and take a local form. This method harnesses CK duality’s full potential by enforcing a subset of off-shell dual Jacobi identities for the deformation, offering a promising path toward constructing three-loop amplitudes in non-supersymmetric YM theory and gravity through CK duality and double copy. |
| format | Article |
| id | doaj-art-d9417a4249094c8bb4ad94fb3ebac801 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d9417a4249094c8bb4ad94fb3ebac8012025-02-09T12:08:37ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025212910.1007/JHEP02(2025)011Applying color-kinematics duality in pure Yang-Mills at three loopsZeyu Li0Gang Yang1Guorui Zhu2CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract We present the first application of color-kinematics (CK) duality at the three-loop level in non-supersymmetric pure Yang-Mills (YM) theory. Building on the minimal deformation approach introduced in [1], we extend its use to the three-loop Sudakov form factor. Although three classes of unitarity cuts fail under the globally off-shell CK-dual ansatz, a compact and elegant solution is achieved by deforming a single master numerator. The final numerators exhibit Lorentz invariance in d dimensions and take a local form. This method harnesses CK duality’s full potential by enforcing a subset of off-shell dual Jacobi identities for the deformation, offering a promising path toward constructing three-loop amplitudes in non-supersymmetric YM theory and gravity through CK duality and double copy.https://doi.org/10.1007/JHEP02(2025)011Gauge SymmetryHigher-Order Perturbative CalculationsScattering Amplitudes |
| spellingShingle | Zeyu Li Gang Yang Guorui Zhu Applying color-kinematics duality in pure Yang-Mills at three loops Journal of High Energy Physics Gauge Symmetry Higher-Order Perturbative Calculations Scattering Amplitudes |
| title | Applying color-kinematics duality in pure Yang-Mills at three loops |
| title_full | Applying color-kinematics duality in pure Yang-Mills at three loops |
| title_fullStr | Applying color-kinematics duality in pure Yang-Mills at three loops |
| title_full_unstemmed | Applying color-kinematics duality in pure Yang-Mills at three loops |
| title_short | Applying color-kinematics duality in pure Yang-Mills at three loops |
| title_sort | applying color kinematics duality in pure yang mills at three loops |
| topic | Gauge Symmetry Higher-Order Perturbative Calculations Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP02(2025)011 |
| work_keys_str_mv | AT zeyuli applyingcolorkinematicsdualityinpureyangmillsatthreeloops AT gangyang applyingcolorkinematicsdualityinpureyangmillsatthreeloops AT guoruizhu applyingcolorkinematicsdualityinpureyangmillsatthreeloops |