论文标题

一环匹配计算中的Evanescent Operator

Evanescent Operators in One-Loop Matching Computations

论文作者

Fuentes-Martín, Javier, König, Matthias, Pagès, Julie, Thomsen, Anders Eller, Wilsch, Felix

论文摘要

无数现象学分析中使用的有效现场理论计算采用尺寸正则化,在计算的中间阶段,操作员群延伸到了四维阶段。额外的碎片 - 逃生的操作员 - 最终可以通过合适的重新规定方案去除,从而导致物理操作员的有限转移。必须扩展依赖于区域扩展方法的现代有效的现场理论匹配技术来解释这一点。在两个特定示例中说明了这些变化的重要性之后,我们计算了删除一环紫外线理论中出现的所有evanexcent运算符所需的有限偏移,并阐明了对一般模型的有效现场理论,并阐明了对通用有效现场理论计算的形式主义。

Effective Field Theory calculations used in countless phenomenological analyses employ dimensional regularization, and at intermediate stages of computations, the operator bases extend beyond the four-dimensional ones. The extra pieces -- the evanescent operators -- can ultimately be removed with a suitable renormalization scheme, resulting in a finite shift of the physical operators. Modern Effective Field Theory matching techniques relying on the method of expansion by regions have to be extended to account for this. After illustrating the importance of these shifts in two specific examples, we compute the finite shifts required to remove all evanescent operators appearing in the one-loop matching of generic ultraviolet theories to the Standard Model Effective Field Theory and elucidate the formalism for generic Effective Field Theory calculations.

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