W-mass prediction in the complex NMSSM

In this work, we present our recent calculation of the W boson mass in the complexNext-to-Minimal Supersymmetric Standard Model (NMSSM), which includes all state-of-the-art higher-order supersymmetric corrections to ∆$_r$. In particular, we include the full one-loop corrections and the leading and sub-leading two-loop corrections $O$(α+α$_t$α$_s$+(α$_t$+α$_λ$+α$_κ$)$^2$) from the $ρ$ parameter. We show some numerical investigations of the dependence of ∆$_ρ$ on the renormalization schemes and of the dependence of M$_W$ on some selected parameters. We also discuss comparisons between some public tools which compute M$_W$ in the NMSSM. Finally we present anew version of the public Fortran code, {\ttNMSSMCALC}, including a new M$_W$ prediction.