Abstract
Abstract The Next-to-Minimal Supersymmetric Extension of the Standard Model (NMSSM) with a Higgs sector containing five neutral and two charged Higgs bosons allows for a rich phenomenology. In addition, the plethora of parameters provides many sources of CP violation. In contrast to the Minimal Supersymmetric Extension, CP violation in the Higgs sector is already possible at tree-level. For a reliable understanding and interpretation of the experimental results of the Higgs boson search, and for a proper distinction of Higgs sectors provided by the Standard Model or possible extensions, the Higgs boson masses have to be known as precisely as possible including higher-order corrections. In this paper we calculate the one-loop corrections to the neutral Higgs boson masses in the complex NMSSM in a Feynman diagrammatic approach adopting a mixed renormalization scheme based on on-shell and $ \overline{\mathrm{DR}} $ conditions. We study various scenarios where we allow for tree-level CP-violating phases in the Higgs sector and where we also study radiatively induced CP violation due to a non-vanishing phase of the trilinear coupling A t in the stop sector. The effects on the Higgs boson phenomenology are found to be significant. We furthermore estimate the theoretical error due to unknown higher-order corrections by both varying the renormalization scheme of the top and bottom quark masses and by adopting different renormalization scales. The residual theoretical error can be estimated to about 10%.
Highlights
While the Higgs sector of the Minimal Supersymmetric Extension (MSSM) [33,34,35,36,37,38] consists of two complex Higgs doublets, which lead to five physical Higgs states after electroweak symmetry breaking (EWSB), the Next-to-Minimal Supersymmetric Model (NMSSM) [39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54] extends the Higgs sector by an additional singlet superfield S
We have calculated the one-loop corrections to the neutral Higgs bosons in the CP-violating Next-to-Minimal Supersymmetric Extension of the Standard Model (NMSSM) by applying a mixed renormalization scheme where part of the parameters are renormalized on-shell while tan β, vs, λ, κ, Aκ and the CP-violating phases are renormalized in the DR scheme
Several scenarios have been investigated which start from parameter sets that are compatible with the experimental Higgs searches in the limit of the real NMSSM, subsequently CP violation is turned on
Summary
The Lagrangian of the complex NMSSM can be divided into an MSSM part which is adopted from the MSSM Lagrangian and an additional NMSSM part. The soft SUSY breaking trilinear couplings Au, Ad, Ae of the up-type, down-type and charged lepton-type sfermions, respectively, which are already present in the MSSM, are in general complex. The soft SUSY breaking mass parameters of the gauginos, M1, M2 and M3, are complex where the gaugino fields are denoted by B, Wi (i = 1, 2, 3) and Gfor the bino, the winos and the gluinos corresponding to the weak hypercharge U(1), the weak isospin SU(2) and the colour SU(3) symmetry. Exploiting that the phases of the Yukawa couplings can be chosen arbitrarily, the phase of the up-type coupling is set to φyu = −φu while the down-type and the charged leptontype ones are assumed to be real This choice ensures that the quark and lepton mass terms yield real masses without any further phase transformation of the corresponding fields.
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