论文标题

电子峰散射的阳性:测试公理量子场理论原理并探测紫外线状态的存在

Positivity in electron-positron scattering: testing the axiomatic quantum field theory principles and probing the existence of UV states

论文作者

Fuks, Benjamin, Liu, Yiming, Zhang, Cen, Zhou, Shuang-Yong

论文摘要

我们考虑了维度8四电子操作员的阳性界限,并研究了未来Lepton Colliders的两个相关现象学方面。首先,如果侵犯了积极性,那么探究这种违规将彻底改变我们对量子场理论的基本支柱和$ s $ -matrix理论的理解。我们观察到,即使人们假设尺寸6运算符也存在,也可以在未来的Lepton Colliders上进行1--10 TEV的阳性违规行为。其次,尺寸8参数空间的正性质通常使我们能够直接推断出紫外线粒子的存在及其量子数,或以独立的方式将它们排除到某些尺度。特别是,维度8阳性在标准模型的测试中起重要作用。如果未观察到与标准模型的偏差,它允许在各种潜在的UV-Complete模型上同时排除限制。与Dimension-6情况不同,这些限制不管紫外线模型设置如何,都无法通过各种UV贡献之间的取消来删除。因此,这包括一个新颖的通用测试来确认标准模型。我们以现实的例子证明了如何实现所有前面提到的可能性,包括侵犯阳性的检验。因此,我们为更全面地研究Dimension-8操作员提供了重要的动机。

We consider the positivity bounds on dimension-8 four-electron operators and study two related phenomenological aspects at future lepton colliders. First, if positivity is violated, probing such violations will revolutionize our understanding of the fundamental pillars of quantum field theory and the $S$-matrix theory. We observe that positivity violation at scales of 1--10 TeV can potentially be probed at future lepton colliders even if one assumes that dimension-6 operators are also present. Second, the positive nature of the dimension-8 parameter space often allows us to either directly infer the existence of UV-scale particles together with their quantum numbers or exclude them up to certain scales in a model-independent way. In particular, dimension-8 positivity plays an important role in the test of the Standard Model. If no deviations from the Standard Model are observed, it allows for simultaneous exclusion limits on all kinds of potential UV-complete models. Unlike the dimension-6 case, these limits apply regardless of the UV model setup and cannot be removed by possible cancellations among various UV contributions. This thus consists of a novel and universal test to confirm the Standard Model. We demonstrate with realistic examples how all the previously mentioned possibilities, including the test of positivity violation, can be achieved. Hence, we provide an important motivation for studying dimension-8 operators more comprehensively.

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