从守恒电流构建维度8 SMEFT
Constructing Dimension-8 SMEFT from Conserved Currents
AI总结：
通过构建守恒电流基，解决维度8 SMEFT中动量混合问题，实现操作符与能量尺度的明确对应，提升紫外解释和理论约束应用的清晰度。
摘要：
有效场论（EFTs）是解释精确对撞机数据的主要工具，特别是在没有新共振的情况下。然而，在维度8标准模型有效场论（SMEFT）中，传统代数最小基底的实用性受到动量混合的根本限制：多个操作符贡献于单一高能幅度，产生退化，使紫外解释变得模糊，并使理论约束的应用复杂化。我们介绍了一个生成框架，通过从标准模型的守恒诺特电流直接构建操作符来解决这一问题。所得到的动量对角化电流基（KDCB）确保每个操作符映射到散射幅度中的唯一渐近能量尺度（E⁴，E²，E⁰）。这种组织使S矩阵正性界限显式化，使蒙特卡洛模拟的稳定辅助场公式化成为可能，并通过电流分解提供对普遍与非普遍紫外完成的直接诊断。通过将操作符空间旋转到物理可解释的领域，KDCB为全局拟合提供了一种变革性的框架，并为从高能数据到新物理结构的清晰路径。
英文摘要：
Effective Field Theories (EFTs) are the primary tool for interpreting precision collider data in the absence of new resonances. However, in the dimension-8 Standard Model Effective Field Theory (SMEFT), the utility of traditional algebraically minimal bases is fundamentally limited by kinematic mixing: multiple operators contribute to a single high-energy amplitude, creating degeneracies that obscure ultraviolet interpretations and complicate the application of theoretical constraints. We introduce a generative framework that resolves this by constructing operators directly from the conserved Noether currents of the Standard Model. The resulting Kinematically Diagonalized Current Basis (KDCB) ensures that each operator maps to a unique asymptotic energy scaling ($E^4$, $E^2$, $E^0$) in scattering amplitudes. This organization makes S-matrix positivity bounds manifest, enables a stable auxiliary-field formulation for Monte Carlo simulation, and provides direct diagnostics for universal versus non-universal ultraviolet completions through current decomposition. By rotating the operator space into physically interpretable sectors, the KDCB offers a transformative framework for global fits and a clear pathway from high-energy data to the structure of new physics.
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