https://doi.org/10.1140/epjc/s10052-023-12236-w
Regular Article - Theoretical Physics
The
correction to the
parameter and its effect on the W boson mass calculation in the complex NMSSM
1
Faculty of Fundamental Sciences, PHENIKAA University, 12116, Hanoi, Vietnam
2
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
3
Institute for Theoretical Physics, Karlsruhe Institute of Technology, Wolfgang-Gaede-Str. 1, 76131, Karlsruhe, Germany
a
nhung.daothi@phenikaa-uni.edu.vn
Received:
17
August
2023
Accepted:
6
November
2023
Published online:
25
November
2023
We present the prediction of the electroweak 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
parameter is calculated at the full one-loop and leading and sub-leading two-loop order
. The new
prediction is incorporated into a prediction of
via a full supersymmetric (SUSY) one-loop calculation of
. Furthermore, we include all known state-of-the-art SM higher-order corrections to
. By comparing results for
obtained using on-shell (OS) and
renormalization conditions in the top/stop sector, we find that the scheme uncertainty is reduced at one-loop order by 55%, at two-loop
by 22%, and at two-loop
by 16%, respectively. The influence of the two-loop results on the
mass prediction is found to be sub-leading. The new calculation is made public in the computer program NMSSMCALC. We perform an extensive comparison in the W-mass, Higgs boson mass and the muon anomalous magnetic moment prediction between our calculation and three other publicly available tools and find very good agreement provided that the input parameters and renormalization scales are treated in the same way. Finally, we study the impact of the CP-violating phases on the W-mass prediction which is found to be smaller than the overall size of the SUSY corrections.
© The Author(s) 2023
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