Electroweak and QCD Corrections to $Z$ and $W$ pole observables in the SMEFT

TL;DR

This paper calculates next-to-leading order QCD and electroweak corrections to Z and W boson observables within the SMEFT framework, providing numerical results for global fits.

Contribution

It introduces a comprehensive calculation of NLO corrections in SMEFT for electroweak observables, facilitating more precise global analyses.

Findings

Numerical results for NLO corrections are provided.

Limits on SMEFT coefficients are derived at LO and NLO.

Results can be integrated into existing global fitting programs.

Abstract

We compute the next-to-leading order QCD and electroweak corrections to $Z$ and $W$ pole observables using the dimension-6 Standard Model effective field theory and present numerical results that can easily be included in global fitting programs. Limits on SMEFT coefficient functions are presented at leading order and at next-to-leading order under several assumptions.