Constraining $\nu$SMEFT coefficients: the case of the extra $\text{U}(1)^\prime$

TL;DR

This paper investigates how extending the Standard Model with a $ ext{U}(1)^ extprime$ gauge group constrains the coefficients of the $ u$SMEFT effective theory, focusing on anomaly cancellation and operator correlations.

Contribution

It provides a detailed analysis of anomaly constraints and correlations among dimension-6 operator coefficients in the $ u$SMEFT with a $ ext{U}(1)^ extprime$ extension.

Findings

Anomaly cancellation imposes specific constraints on $ u$SMEFT coefficients.

Explicit models reveal correlations among dimension-6 operators.

The extended theory remains consistent when anomaly constraints are satisfied.

Abstract

We study the constraints on low-energy coefficients of the $\nu$SMEFT generalization of the Standard Model effective theory in the simple case of a $\text{U}(1)^\prime$ enlargement of the Standard Model gauge group. In particular, we analyse the constraints imposed by the requirement that the extended theory remains free of gauge anomalies. We present the cases of explicit realisations, showing the obtained correlations among the coefficients of $d=6$ operators.