LEX-EFT：轻奇异粒子有效场论
LEX-EFT: The Light Exotics Effective Field Theory
AI总结：
本文提出轻奇异粒子有效场论（LEX-EFT）框架，通过迭代张量积分解系统构建 SM 与轻奇异态相互作用的规范不变算符目录，并展示其在 LHC 现象学中可捕获传统 EFT 遗漏的效应。
摘要：
我们提议创建一个轻奇异粒子有效场论（LEX-EFT）目录。LEX-EFT 是一个通用框架，用于捕获标准模型（SM）与所有（或至少一大类）理论上允许的超越标准模型（bSM）奇异态之间的全部相互作用，这些奇异态按其 SM 和 bSM 荷进行索引。这些态足够轻，以至于在某些对撞机过程中可以在壳或接近在壳。该框架尽可能普遍地涵盖超越标准模型的各类范式，旨在扩展近期成功的 bSM 有效场论实现，并补充例如标准模型有效场论（SMEFT），后者能够捕获奇异场的离壳效应。在这项工作中，我们回顾了一种构建完整规范不变算符列表的通用方法，这些算符涉及 SM 与轻奇异粒子的相互作用，通过迭代张量积分解实现，直至所需的质量量纲阶数。每个算符由特定的 Clebsch-Gordan 系数表征，这些系数由荷流决定；我们展示了这种荷流如何影响有效场论的适用范围以及与有效算符相关的截面。我们创建了一个与 SM 规范玻色子对耦合的奇异标量示例目录，并重点介绍了一些具有奇异弱 $\mathrm{SU}(2)_{\text{L}}$ 荷的算符，它们可以产生引人注目的 LHC 现象学。我们进一步通过几个关于运动学分布和截面的效应示例展示了 LEX-EFT 方法的实用性，这些效应不会被对奇异自由度不敏感的有效场论所捕获，并且可能避开针对现有优选标准 bSM 理论集合量身定制的主要单举对撞机搜索。
英文摘要：
We propose the creation of a Light Exotics Effective Field Theory (LEX-EFT) catalog. LEX-EFT is a generic framework to capture all interactions between the Standard Model (SM) and all (or at least a large class of) theoretically allowed exotic states beyond the Standard Model (bSM), indexed by their SM and bSM charges. These states are light enough to be on or nearly on shell in some collider processes. This framework, which subsumes beyond the Standard Model paradigms as generally as possible, is meant to extend recent successful implementations of bSM EFTs and complement e.g. the Standard Model Effective Field Theory (SMEFT), which can capture the off-shell effects of exotic fields. In this work, we review a general method for the construction of a complete list of gauge-invariant operators involving SM interactions with light exotics via iterative tensor product decomposition, up to the desired order in mass dimension. Each operator is characterized by specific Clebsch-Gordan coefficients determined by the charge flow; we show how this charge flow affects the range of EFT validity and cross sections associated with an effective operator. We create an example catalog of exotic scalars coupling to SM gauge boson pairs, and we highlight some operators with exotic weak $\mathrm{SU}(2)_{\text{L}}$ charges that can produce spectacular LHC phenomenology. We further demonstrate the utility of the LEX-EFT approach with several examples of effects on kinematic distributions and cross sections that would not be captured by EFTs agnostic to the exotic degrees of freedom and may evade the main inclusive collider searches tailored to the existing preferred set of standard bSM theories.
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