论文标题

有效地匹配有效理论

Towards matching effective theories efficiently

论文作者

Wilsch, Felix

论文摘要

在研究给定紫外线模型的低能量现象学时,量子场理论中的比例分离至关重要。为此,有必要构建一个有效的田间理论,该理论仅包含轻度的自由度并将其与完整理论相匹配,以确保两者都描述了相同的低能动力学。在领先顺序之外执行这种匹配至关重要,因为大量可观察到的是FCNC,仅在标准模型和许多新物理场景中出现在循环级别。获得低能量理论的一种可能性是使用路径积分技术从完整理论中整合重粒子。我们在一环级别回顾了此功能匹配程序,并讨论确定有效理论匹配条件时涉及的共同挑战。由于超出标准模型理论的巨大多样性以及匹配计算的复杂性,因此需要自动化此过程。在此问题上,我们介绍了开发Mathematica软件包的持续努力,从而有助于广泛的理论进行全自动匹配。完成后,这将大大简化对超出标准模型物理学的低能现象学的分析。这些程序基于ARXIV:2012.08506并正在进行中。

Separation of scales in quantum field theories is essential when studying the low-energy phenomenology of a given UV model. To this end, it is necessary to construct an effective field theory containing only the light degrees of freedom and matching it to the full theory, ensuring that both describe the same low-energy dynamics. Performing this matching beyond the leading order is crucial, as a great number of observables, like FCNC, only appear at the loop level in the Standard Model and in many new physics scenarios. One possibility to obtain the low-energy theory is by integrating out the heavy particles from the full theory using path integral techniques. We review this functional matching procedure at the one-loop level and discuss common challenges involved in determining the matching conditions for effective theories. Due to the great diversity of beyond the Standard Model theories and the complexity of the matching computations, an automation of this procedure is desirable. On this matter, we present the ongoing effort to develop the Mathematica package Matchete facilitating the fully automatic matching for a broad range of theories. When completed, this will significantly simplify the analysis of the low-energy phenomenology of beyond the Standard Model physics. These proceedings are based on arXiv:2012.08506 and work in progress.

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