TY - JOUR AU - Dao, Thi Nhung AU - Gabelmann, Martin AU - Mühlleitner, Margarete TI - 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 JO - The European physical journal / C VL - 83 IS - 11 SN - 1434-6044 CY - Heidelberg PB - Springer M1 - PUBDB-2024-00154 M1 - arXiv:2308.04059 M1 - KA-TP-17-2023 M1 - DESY-23-112 SP - 1079 PY - 2023 AB - 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 KW - new physics (INSPIRE) KW - supersymmetry: correction (INSPIRE) KW - minimal supersymmetric standard model (INSPIRE) KW - electroweak interaction: rho parameter (INSPIRE) KW - electroweak interaction: correction (INSPIRE) KW - correction: higher-order (INSPIRE) KW - Higgs particle: mass (INSPIRE) KW - W: mass (INSPIRE) KW - mass: correction (INSPIRE) KW - CP: violation (INSPIRE) KW - muon: magnetic moment (INSPIRE) LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:001108020200002 DO - DOI:10.1140/epjc/s10052-023-12236-w UR - https://bib-pubdb1.desy.de/record/601182 ER -