论文标题

尺寸六秒smeft的旋转总和规则

Spinning Sum Rules for the Dimension-Six SMEFT

论文作者

Remmen, Grant N., Rodd, Nicholas L.

论文摘要

我们为标准模型的有效现场理论构建新的分散总规则,该理论在质量维第六。这些旋转总和规则编码有关紫外线旋转的信息:IR Wilson系数的符号带有对紫外线完成中主要旋转的记忆。总和是为包含标量和费米子的运算符构建的,尽管我们详尽地考虑了六个smeft的尺寸,概述了为什么等效关系不适合其余的操作员。与任何六个六分散论点一样,我们的结论取决于无穷大的潜在极点,所谓的边界项,我们详细讨论了预期出现的地方。旋转和规则有许多现象学应用,例如,我们探讨了与Peskin-Takeuchi参数的连接,更一般而言,是通用理论中的倾斜参数集。

We construct new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These spinning sum rules encode information about the spin of UV states: the sign of the IR Wilson coefficients carries a memory of the dominant spin in the UV completion. The sum rules are constructed for operators containing scalars and fermions, although we consider the dimension-six SMEFT exhaustively, outlining why equivalent relations do not hold for the remaining operators. As with any dimension-six dispersive argument, our conclusions are contingent on the absence of potential poles at infinity, so-called boundary terms, and we discuss in detail where these are expected to appear. There are a number of phenomenological applications of spinning sum rules, and as an example we explore the connection to the Peskin-Takeuchi parameters and, more generally, the set of oblique parameters in universal theories.

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