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arXiv 2103.11593hep-phhep-exhep-th
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EFT Diagrammatica:CP守恒SMEFT的UV根

EFT Diagrammatica: UV Roots of the CP-conserving SMEFT

Supratim Das Bakshi, Joydeep Chakrabortty, Suraj Prakash, Shakeel Ur Rahaman, Michael Spannowsky

摘要:

有效场论是一个建立的框架,以弥合紫外线和低能量理论之间的差距。在标准模型的背景下,自底向上的方法扩展了它的算子集,从而使我们能够敏锐地探测它的可观测量,同时封装未知的高尺度理论的间接证据。而自上而下的方法,另一方面,采用功能的技术来整合出的BSM拉格朗日导致一组SMEFT运营商的重字段。这两种方法的复杂相互作用增强了SMEFT在做出有意义的预测方面的功效,同时为新物理场景的连贯比较提供了平台。然而,虽然自下而上的方法未能表明有效运营商的起源,自上而下的方法是高度依赖于UV理论的特定模型假设。我们首次提出了一种图解方法,以建立与每个SMEFT操作员对应的允许重场表示的选择标准。这反过来又为构建可观测驱动的新物理模型铺平了道路。虽然我们采取了一个主要的最低限度的方法,我们也强调了非最低限度的互动对于某些运营商的必要性。

英文摘要:

Effective Field Theories are an established framework to bridge the gap between UV and low energy theories. In the context of the Standard Model, the bottom-up approach extends its operator set and thus equips us to astutely probe its observables while encapsulating indirect evidence of unknown high scale theories. While the top-down approach, on the other hand, employs functional techniques to integrate out the heavy fields from a BSM Lagrangian leading to a set of SMEFT operators. An intricate interplay of the two approaches enhances the efficacy of the SMEFT in making meaningful predictions while providing a platform for conducting a coherent comparison of new physics scenarios. However, while the bottom-up approach fails to indicate the origin of the effective operators, the top-down approach is highly dependent on the specific model assumptions of the UV theory. We, for the first time, are proposing a diagrammatic approach to establish selection criteria for the allowed heavy field representations corresponding to each SMEFT operator. This, in turn, paves the way to construct observable driven new physics models. While we take a predominantly minimalistic approach, we also highlight the necessity for non-minimal interactions for certain operators.

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