AI 中文总结
本研究在标准模型有效场论（SMEFT）框架下，推导了含全部210个独立威尔逊系数的次领头阶对数（NLL）精度电弱精密可观测量表达式，为提升对超出标准模型物理的间接探测能力提供了基础。
AI 中文摘要
电弱精密可观测量（EWPO）仍是超出标准模型（BSM）物理最强大的间接探针之一，未来正负电子对撞机预计将大幅提升其灵敏度。在标准模型有效场论（SMEFT）框架内，我们展示了如何通过结合固定阶树级和单圈匹配，以及双圈和单圈重整化群演化，将EWPO预测系统提升至次领头阶对数（NLL）精度。我们推导了NLL表达式，其包含全部210个独立威尔逊系数的完整依赖关系，并通过对当前和预期对撞机测量结果的拟合，阐明了这些系数的影响。本工作为NLL精度下的全局SMEFT分析提供了基础，从而通过EWPO测量最大化对BSM物理的间接探测能力。该框架的唯象相关性在 custodial Randall-Sundrum模型和custodial复合希格斯模型中得到了明确展示。
英文摘要
Electroweak precision observables (EWPO) remain among the most powerful indirect probes of physics beyond the Standard Model (BSM), and future $e^+ e^-$ colliders are expected to substantially enhance their sensitivity. Within the framework of the Standard Model Effective Field Theory (SMEFT), we show how EWPO predictions can be systematically improved to next-to-leading-logarithmic (NLL) accuracy by combining fixed-order tree-level and one-loop matching with two- and one-loop renormalization-group evolution. We derive NLL expressions that encode the full dependence on all 210 independent Wilson coefficients and illustrate their impact through fits to both current and projected collider measurements. This work provides a basis for global SMEFT analyses at NLL precision, thereby maximizing the indirect reach to BSM physics through EWPO measurements. The phenomenological relevance of this framework is illustrated explicitly in both the custodial Randall-Sundrum model and a custodial composite Higgs model.
Comments43 pages (main text), 5 appendices, 14 figures, 1 ancillary file
