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| Report/Dissertation / PhD Thesis | PUBDB-2016-01822 |
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2016
Verlag Deutsches Elektronen-Synchrotron
Hamburg
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Please use a persistent id in citations: doi:10.3204/DESY-THESIS-2016-019
Report No.: DESY-THESIS-2016-019
Abstract: Within this thesis a precise mass-prediction for the Higgs fields of the Next-to-Minimal Supersymmetric Standard Model (NMSSM) is obtained with Feynman-diagrammatic methods. The results are studied numerically for sample scenariosthat are in agreement with current New Physics searches at the LHC. Furthermorea comparison between the obtained results and different calculations is performed asa first step in order to obtain an estimation for the theoretical uncertainties of theHiggs-mass prediction in the NMSSM.The precise mass-prediction includes the full NMSSM one-loop corrections sup-plemented with the dominant and sub-dominant two-loop corrections within theMinimal Supersymmetric Standard Model (MSSM). These include contributions atthe orders O(α_t α_s , α_b α_s , α_t^2 , α_t α_b ), as well as a resummation of leading and subleadinglogarithms from the top/scalar top sector. Higher-order corrections are essential forthe NMSSM in order to provide a Higgs particle that is consistent with the availabledata, including the observed neutral, CP-even Higgs field with a mass of about125 GeV. We explored the validity of the applied approximation at the two-looplevel and found that it is reliable for a wide range of scenarios within the NMSSM.This is especially true for the mass of the observed (MS)SM-like Higgs field. Theresult of this work will be included in a future extension of the program FeynHiggs.We also compared our results with the program NMSSMCalc that also performsa Feynman-diagrammatic calculation of the Higgs-masses with a slightly differentrenormalization scheme. The comparison reveals that for the mass of the (MS)SM-likeHiggs field the genuine NMSSM-effects induced by the choice of the renormalization scheme are by far minor compared to similar effects observed in the MSSM.
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