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Autori principali: Wu, Chao, Xiao, Ming-Lei, Yu, Jiang-Hao, Zheng, Yu-Hui
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2512.21724
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author Wu, Chao
Xiao, Ming-Lei
Yu, Jiang-Hao
Zheng, Yu-Hui
author_facet Wu, Chao
Xiao, Ming-Lei
Yu, Jiang-Hao
Zheng, Yu-Hui
contents We compute the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT). We adopt the on-shell framework, where the RGEs are obtained from the unitarity cuts of the bubble integrals. To construct a consistent set of RGEs without redundancy, we utilize the Young Tensor amplitude/operator basis as the building blocks of the tree-level amplitudes that constitute the unitarity cuts, which incorporates the full flavor structures of the effective operators. Due to the large number of effective operators for a dimension-8 type, it is crucial to reduce the integrated cuts to the same RGE amplitude basis, which is also made possible by the algorithm in the Young Tensor method. With the Mathematica package ABC4EFT that implements the method, we obtain the full result of the dimension-8 four-fermion RGEs with the output file attached as the supplementary material.
format Preprint
id arxiv_https___arxiv_org_abs_2512_21724
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On-Shell Renormalization of Dim-8 SMEFT from Complete Amplitude Basis: I. Four-Fermion Operators
Wu, Chao
Xiao, Ming-Lei
Yu, Jiang-Hao
Zheng, Yu-Hui
High Energy Physics - Phenomenology
We compute the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT). We adopt the on-shell framework, where the RGEs are obtained from the unitarity cuts of the bubble integrals. To construct a consistent set of RGEs without redundancy, we utilize the Young Tensor amplitude/operator basis as the building blocks of the tree-level amplitudes that constitute the unitarity cuts, which incorporates the full flavor structures of the effective operators. Due to the large number of effective operators for a dimension-8 type, it is crucial to reduce the integrated cuts to the same RGE amplitude basis, which is also made possible by the algorithm in the Young Tensor method. With the Mathematica package ABC4EFT that implements the method, we obtain the full result of the dimension-8 four-fermion RGEs with the output file attached as the supplementary material.
title On-Shell Renormalization of Dim-8 SMEFT from Complete Amplitude Basis: I. Four-Fermion Operators
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.21724