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arXiv 2010.04723hep-phhep-th
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符号,自旋,SMEFT:六维求和规则

Signs, Spin, SMEFT: Sum Rules at Dimension Six

Grant N. Remmen, Nicholas L. Rodd

摘要:

我们对四费米子标准模型相互作用的主要偏差进行了理论约束。通过对S-矩阵解析性和分波么正性的研究,我们发展了新的色散关系,该色散关系可以产生关于六维费米子算符的自旋相关求和规则,也可以产生关于大动量下振幅行为的信息。SMEFT不等式的模式,我们发现的理论服从某些大动量约束,使诊断的新兴物理学的属性。这些关系形成了新的物理学研究之间的桥梁:在Belle II发现违反味道的$τ$衰变将激发对低于25 TeV的味道保存新物理学的研究,因为结果将提供有关紫外线的明确信息。

英文摘要:

We place theoretical constraints on the leading deviations to four-fermion standard model interactions. Invoking S-matrix analyticity and partial wave unitarity, we develop new dispersion relations that yield either spin-dependent sum rules on dimension-six fermionic operators or information about the amplitude's behavior at large momentum. The pattern of SMEFT inequalities we find for theories obeying certain large-momentum constraints enables a diagnosis of properties of emerging new physics. These relations form a bridge between new physics searches: discovery of flavor-violating $τ$ decays at Belle II would motivate the search for flavor-conserving new physics below 25 TeV, as the results would provide definitive information about the UV.

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