EWPD in the SMEFT and the $\mathcal{O}(y_t^2,\lambda)$ one loop $Z$ decay width

TL;DR

This paper analyzes one-loop corrections involving top Yukawa and Higgs self-coupling in the SMEFT, focusing on their impact on Z boson decay widths and ratios, highlighting reparameterization invariance and matching complexities.

Contribution

It provides a detailed discussion of one-loop electroweak corrections in SMEFT, emphasizing the role of reparameterization invariance and non-minimal matching procedures.

Findings

One-loop corrections $ imes y_t^2, imes \lambda$ significantly affect Z decay widths.

Reparameterization invariance constrains the interpretation of SMEFT parameters.

Matching onto SMEFT exhibits non-minimal features impacting precision calculations.

Abstract

The interpretation of electroweak precision data in the Standard Model Effective Field Theory is discussed. One loop corrections $\propto y_t^2, \lambda$ to the partial $Z$ decay widths and ratios of partial widths in this theory are discussed. A reparameterization invariance and the non-minimal character of matching onto this theory is reviewed.