狄拉克费米子暗物质有效相互作用的异常维度、匹配与唯象学
Anomalous Dimensions, Matching, and Phenomenology of Dirac Fermionic Dark Matter Effective Interactions
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中文总结 AI 辅助
本文为狄拉克费米子暗物质有效场论建立重整化群框架，推导异常维度矩阵，结合匹配与唯象分析，从多类精密观测量获得对威尔逊系数的严格约束，探测能标达数百TeV。
中文摘要 AI 辅助
我们探索了标准模型有效场论（SMEFT）的一种费米子暗物质（DM）扩展，并为其唯象研究建立了完整的重整化群框架。我们推导了所有涉及标准模型（SM）和暗物质场的相关维度五和维度六算符的异常维度矩阵，使得相关威尔逊系数（WCs）能够跨能量标度一致演化。通过将重整化群跑动与相关阈值处的匹配相结合，我们构建了连接高能标新物理与实验可观测量之间的稳健桥梁。随后，我们进行了全面的唯象分析，评估了这些算符对覆盖广泛能量范围的可观测量的贡献，并从当前数据中推导出对威尔逊系数的约束。我们从电弱精密观测量、味过程、轻子味破坏衰变、顶夸克味改变中性流衰变以及不可见介子衰变中获得了对暗物质有效场论（DMEFT）威尔逊系数的严格且互补的界限。以新物理有效标度来解释，所得限制表明，当前精密测量所探测的能量标度范围从TeV量级到数十甚至数百TeV，凸显了间接搜索对暗区相互作用的显著敏感性。
英文摘要
We explore a fermionic dark matter (DM) extension of the Standard Model Effective Field Theory (SMEFT) and establish a complete renormalisation-group framework for its phenomenological investigation. We derive the anomalous-dimension matrix of all relevant dimension-five and dimension-six operators involving Standard Model (SM) and DM fields, enabling the consistent evolution of the associated Wilson coefficients (WCs) across energy scales. By combining renormalisation-group running with matching at the relevant thresholds, we construct a robust bridge between high-scale new physics and experimental observables. We then perform a comprehensive phenomenological analysis, evaluating the contributions of these operators to observables spanning a wide range of energies and deriving constraints on the WCs from current data. We obtain stringent and complementary bounds on the DM effective field theory (DMEFT) WCs from electroweak precision observables, flavour processes, lepton-flavour-violating decays, top-quark flavour-changing neutral-current decays, and invisible meson decays. Interpreted in terms of the effective scale of new physics, the resulting limits demonstrate that current precision measurements probe energy scales ranging from the TeV regime to several tens or even hundreds of TeV, highlighting the remarkable sensitivity of indirect searches to dark-sector interactions.
发表机构
- Indian Institute of Technology Guwahati（印度理工学院古瓦哈提分校）
- Indian Institute of Technology Gandhinagar（印度理工学院甘地纳加尔分校）
机构由 AI 辅助整理，请以论文原文为准。
