论文标题

循环计数很重要

Loop counting matters in SMEFT

论文作者

Buchalla, G., Heinrich, G., Müller-Salditt, Ch., Pandler, F.

论文摘要

我们表明,除了对规范维度的计数外,还需要对循环订单的计数来完全指定标准模型有效场理论(SMEFT)的功率计数。使用具体示例,我们证明,仅考虑操作员的规范维度可能会导致结果不一致。两者的计数,规范的维度和循环订单都建立了SMEFT中术语的明确层次结构。在实践中,这有助于以有意义的方式识别并关注任何给定的高能过程中潜在的主导效应。此外,这将导致SMEFT应用程序中自由参数的一致限制。

We show that, in addition to the counting of canonical dimensions, a counting of loop orders is necessary to fully specify the power counting of Standard Model Effective Field Theory (SMEFT). Using concrete examples, we demonstrate that considering the canonical dimensions of operators alone may lead to inconsistent results. The counting of both, canonical dimensions and loop orders, establishes a clear hierarchy of the terms in SMEFT. In practice, this serves to identify, and focus on, the potentially dominating effects in any given high-energy process in a meaningful way. Additionally, this will lead to a consistent limitation of free parameters in SMEFT applications.

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