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The $\mathcal{O}(\alpha _t+\alpha _\lambda +\alpha _\kappa )^2$ correction to the $\rho$ parameter and its effect on the W boson mass calculation in the complex NMSSM

Dao, Thi Nhung; Gabelmann, Martin; Mühlleitner, Margarete 1
1 Institut für Theoretische Physik (ITP), Karlsruher Institut für Technologie (KIT)

Abstract:

We present the prediction of the electroweak $\rho$ 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 $\rho$ parameter is calculated at the full one-loop and leading and sub-leading two-loop order $\mathcal {O}(\alpha + \alpha _t\alpha _s + \left( \alpha _t+\alpha _\lambda +\alpha _\kappa \right) ^2)$. The new $\Delta \rho$ prediction is incorporated into a prediction of $M_W$ via a full supersymmetric (SUSY) one-loop calculation of $\Delta r$. Furthermore, we include all known state-of-the-art SM higher-order corrections to $\Delta r$. By comparing results for $\Delta \rho$ obtained using on-shell (OS) and $\overline{\text {DR}}$ renormalization conditions in the top/stop sector, we find that the scheme uncertainty is reduced at one-loop order by 55%, at two-loop ${\mathcal {O}}(\alpha _s\alpha _t)$ by 22%, and at two-loop ${\mathcal {O}}(\alpha _t+\alpha _\kappa +\alpha _\lambda )^2$ by 16%, respectively. The influence of the two-loop results on the $M_W$ mass prediction is found to be sub-leading. The new calculation is made public in the computer program NMSSMCALC. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000165760
Veröffentlicht am 02.01.2024
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2023
Sprache Englisch
Identifikator ISSN: 1434-6044, 1434-6052
KITopen-ID: 1000165760
Erschienen in The European Physical Journal C
Verlag Springer-Verlag
Band 83
Heft 11
Seiten Art.Nr.: 1079
Vorab online veröffentlicht am 25.11.2023
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