论文标题

标准模型有效现场理论中对尺寸的量规异常的评论

Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory

论文作者

Bonnefoy, Quentin, Di Luzio, Luca, Grojean, Christophe, Paul, Ayan, Rossia, Alejo N.

论文摘要

我们研究有效现场理论中的高维操作员,尤其是在标准模型有效场理论(SMEFT)中是否可以通过修改三角图涉及的相互作用来源量表异常。我们没有发现在尺寸6运算师的级别上,可以独立选择彼此的情况下,而不会破坏SMEFT的一致性,这与最近的主张有所不同。根本的原因是,色石玻色子和庞大的轨迹场的量规不变组合被允许求助于不保守的水流。我们通过计算相关的三角图,以及在所有费米昂质量下方的玻色粒eft中计算wess-zumino术语,通过计算相关的三角图,并在玩具模型中展示这一点。同样的方法直接适用于可肾小吻合水平的标准模型,提供了一种方便且异常的方法来检查SM是否无异常,以及在SMEFT中的不可降低水平。

We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle diagrams. We find no evidence of such gauge anomalies at the level of dimension-6 operators that can therefore be chosen independently to each others without spoiling the consistency of SMEFT, at variance with recent claims. The underlying reason is that gauge-invariant combinations of Goldstone bosons and massive gauge fields are allowed to couple to matter currents which are not conserved. We show this in a toy model by computing the relevant triangle diagrams, as well as by working out Wess--Zumino terms in the bosonic EFT below all fermion masses. The same approach applies directly to the Standard Model both at the renormalisable level, providing a convenient and unusual way to check that the SM is anomaly free, as well as at the non-renormalisable level in SMEFT.

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