%0 Journal 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 %J The European physical journal / C %V 83 %N 11 %@ 1434-6044 %C Heidelberg %I Springer %M PUBDB-2024-00154 %M arXiv:2308.04059 %M KA-TP-17-2023 %M DESY-23-112 %P 1079 %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 new physics (INSPIRE) %K supersymmetry: correction (INSPIRE) %K minimal supersymmetric standard model (INSPIRE) %K electroweak interaction: rho parameter (INSPIRE) %K electroweak interaction: correction (INSPIRE) %K correction: higher-order (INSPIRE) %K Higgs particle: mass (INSPIRE) %K W: mass (INSPIRE) %K mass: correction (INSPIRE) %K CP: violation (INSPIRE) %K muon: magnetic moment (INSPIRE) %F PUB:(DE-HGF)16 %9 Journal Article %U <Go to ISI:>//WOS:001108020200002 %R 10.1140/epjc/s10052-023-12236-w %U https://bib-pubdb1.desy.de/record/601182