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arXiv 2407.07945hep-phhep-th
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通过在壳希格斯化推导用于矢量对产生的 dimension-8 SMEFT 接触项

Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing

Jared M Goldberg, Hongkai Liu, Yael Shadmi

AI总结:

本文推导了LHC和轻子对撞机中矢量对产生相关的dimension-8 SMEFT接触项,利用在壳希格斯化获得低能振幅,发现其贡献为4点接触项的领头阶,并揭示了SMEFT几乎涵盖了dimension-8 HEFT生成的所有新结构。

摘要:

我们推导了与 LHC 和轻子对撞机中矢量对产生相关的 dimension-8 standard-model effective theory (SMEFT) 接触项。我们首先列出了相关的 dimension-8 无质量 SMEFT 振幅,然后使用在壳希格斯化获得了低能振幅。在所有情况下,我们计算的贡献均为 4 点接触项的领头阶贡献;dimension-6 SMEFT 仅修正了进入振幅的三点耦合。由于它们以物理量(即动量和极化)表示,结果允许将 EFT 效应直接映射到低能可观测量。矢量振幅对反常矢量耦合和希格斯自耦合都很敏感。左手费米子振幅展示了首次在 dimension-8 生成的 SU(2) 破坏效应。我们还将我们的结果与 HEFT 预测进行了比较。有趣的是,dimension-8 SMEFT 几乎涵盖了由 dimension-8 HEFT 生成的所有新结构。

英文摘要:

We derive the dimension-8 standard-model effective theory (SMEFT) contact terms relevant for vector-pair production at the LHC and lepton colliders. We first list the relevant dimension-8 massless SMEFT amplitudes, and then obtain the low-energy amplitudes using on-shell Higgsing. In all cases, the contributions we calculate are the leading-order contributions to 4-point contact-terms; the dimension-6 SMEFT merely corrects the three-point couplings entering the amplitudes. Since they are given in terms of physical quantities, namely momenta and polarizations, the results allow for a direct mapping of EFT effects to low-energy observables. The vector amplitudes are sensitive to both anomalous vector couplings and Higgs self-couplings. The left-handed fermion amplitudes feature SU(2) violating effects first generated at dimension-8. We also compare our results to HEFT predictions. Interestingly, the dimension-8 SMEFT populates almost all the novel structures generated by the dimension-8 HEFT.

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