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arXiv 1706.07765hep-phhep-th
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推广通用单圈有效Action:轻重系数

Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients

Sebastian A. R. Ellis, Jérémie Quevillon, Tevong You, Zhengkang Zhang

摘要:

通用单圈有效作用量(Universal One-Loop Effective Action,UOLEA)是一种有效作用量的一般表达式,它是通过对泛函路径积分的单圈展开进行独立于模型的计算而得到的。它可以用来匹配UV理论,其低能量EFT更有效地避免冗余的步骤中的应用功能的方法,简化的过程中获得威尔逊系数的运营商高达6维。除了只涉及重场的环之外,匹配可能需要包含包含重粒子和轻粒子的环。在这里,我们使用最近开发的协变图技术扩展UOLEA,以包括重轻条款,保留相同的通用结构作为以前派生的重只有条款。作为其应用的一个例子,我们集成了一个重单重标量的线性耦合到一个轻的二重态希格斯。这里提出的扩展是完成UOLEA的第一步,将所有可能的结构中遇到的一个循环的路径积分的协变导数扩展。

英文摘要:

The Universal One-Loop Effective Action (UOLEA) is a general expression for the effective action obtained by evaluating in a model-independent way the one-loop expansion of a functional path integral. It can be used to match UV theories to their low-energy EFTs more efficiently by avoiding redundant steps in the application of functional methods, simplifying the process of obtaining Wilson coefficients of operators up to dimension six. In addition to loops involving only heavy fields, matching may require the inclusion of loops containing both heavy and light particles. Here we use the recently-developed covariant diagram technique to extend the UOLEA to include heavy-light terms which retain the same universal structure as the previously-derived heavy-only terms. As an example of its application, we integrate out a heavy singlet scalar with a linear coupling to a light doublet Higgs. The extension presented here is a first step towards completing the UOLEA to incorporate all possible structures encountered in a covariant derivative expansion of the one-loop path integral.

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