Applying Color-Kinematics Duality in Pure Yang-Mills at Three Loops
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912081953947648 |
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| author | Li, Zeyu Yang, Gang Zhu, Guorui |
| author_facet | Li, Zeyu Yang, Gang Zhu, Guorui |
| contents | 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 \cite{Li:2023akg}, 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 | Preprint |
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arxiv_https___arxiv_org_abs_2410_17041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Applying Color-Kinematics Duality in Pure Yang-Mills at Three Loops Li, Zeyu Yang, Gang Zhu, Guorui High Energy Physics - Theory 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 \cite{Li:2023akg}, 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. |
| title | Applying Color-Kinematics Duality in Pure Yang-Mills at Three Loops |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.17041 |