%0 Electronic Article %A Dao, Thi Nhung %A Gabelmann, Martin %A Mühlleitner, Margarete %T The <i>O</i>(α<sub>t</sub>+α<sub>λ</sub>+α<sub>κ</sub>)<sup>2</sup> Correction to the ρ Parameter and its Effect on the W Boson Mass Calculation in the Complex NMSSM %N DESY-23-112 %M PUBDB-2023-04637 %M DESY-23-112 %M KA-TP-17-2023 %M arXiv:2308.04059 %D 2023 %X We present the prediction of the electroweak ρ parameter and the W boson mass in the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) at the two-loop order. The ρ parameter is calculated at the full one-loop and leading and sub-leading two-loop order <i>O</i>(α+ α<sub>t</sub>α<sub>s</sub> + (α<sub>t</sub>+α<sub>λ</sub>+α<sub>κ</sub>)<sup>2</sup>). The new ∆ρ prediction is incorporated into a prediction of M<sub>W</sub> via a full supersymmetric (SUSY) one-loop calculation of ∆r. Furthermore, we include all known state-of-the-art SM higher-order corrections to ∆r. By comparing results for ∆ρ obtained using on-shell (OS) and ―DR renormalization conditions in the top/stop sector, we find that the scheme uncertainty is reduced at one-loop order by 55 %K boson, mass (INSPIRE) %K CP, violation (INSPIRE) %K supersymmetry, correction (INSPIRE) %K Higgs particle, mass (INSPIRE) %K muon, magnetic moment (INSPIRE) %K correction, higher-order (INSPIRE) %K scale, renormalization (INSPIRE) %K minimal supersymmetric standard model (INSPIRE) %K electroweak interaction (INSPIRE) %K computer (INSPIRE) %F PUB:(DE-HGF)25 %9 Preprint %R 10.3204/PUBDB-2023-04637 %U https://bib-pubdb1.desy.de/record/587976