Abstract

The particle discovered in the Higgs-boson searches at the LHC with a mass of about 125 , mathrm{GeV} can be identified with one of the neutral Higgs bosons of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). We calculate predictions for the Higgs-boson masses in the NMSSM using the Feynman-diagrammatic approach. The predictions are based on the full NMSSM one-loop corrections supplemented with the dominant and sub-dominant two-loop corrections within the Minimal Supersymmetric Standard Model (MSSM). These include contributions at mathcal {O}{(alpha _t alpha _s, alpha _b alpha _s, alpha _t^2,alpha _talpha _b)}, as well as a resummation of leading and subleading logarithms from the top/scalar top sector. Taking these corrections into account in the prediction for the mass of the Higgs boson in the NMSSM that is identified with the observed signal is crucial in order to reach a precision at a similar level as in the MSSM. The quality of the approximation made at the two-loop level is analysed on the basis of the full one-loop result, with a particular focus on the prediction for the Standard Model-like Higgs boson that is associated with the observed signal. The obtained results will be used as a basis for the extension of the code FeynHiggs to the NMSSM.

Highlights

  • One of the prime candidates for physics beyond the Standard Model (SM) is supersymmetry (SUSY), which doubles the particle degrees of freedom by predicting two scalar partners for all SM fermions, as well as fermionic partners to all bosons

  • We have presented predictions for the Higgs-boson masses in the Nextto-Minimal Supersymmetric Standard Model (NMSSM) obtained within the Feynman-diagrammatic approach

  • They are based on the full NMSSM one-loop corrections supplemented with the dominant and sub-dominant two-loop corrections of Minimal Supersymmetric Standard Model (MSSM)-type, including contributions at O αt αs, αbαs, αt2, αt αb, as well as a resummation of leading and subleading logarithms from the top/scalar top sector

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Summary

Introduction

One of the prime candidates for physics beyond the SM is supersymmetry (SUSY), which doubles the particle degrees of freedom by predicting two scalar partners for all SM fermions, as well as fermionic partners to all bosons. The most widely studied SUSY framework is the Minimal Supersymmetric Standard Model (MSSM) [5,6], which keeps the number of new fields and couplings to a minimum. In contrast to the single Higgs doublet of the (minimal) SM, the Higgs sector of the MSSM contains two Higgs doublets, which in the CP conserving case leads to a physical spectrum consisting of two CP-even, one CP-odd and two charged Higgs bosons. In the case where CP is conserved, which we assume throughout the paper, the states in the NMSSM Higgs sector can be classified as three CP-even Higgs bosons, hi (i = 1, 2, 3), two CP-odd Higgs bosons, A j ( j = 1, 2), and the charged Higgs-boson pair H ±.

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One-loop result in the NMSSM
The relevant NMSSM sectors
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A κ λ μeff
Renormalisation scheme
Reparametrisation of the electromagnetic coupling
G F reads
Dominant contributions at one-loop order
Incorporation of higher-order contributions
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Numerical results
Numerical scenarios and treatment of input parameters
Sample scenario S
Example of a scenario with large values of λ
Full results at two-loop order
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Scenario P1
Scenario P9
Scenario A1
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Numerically leading contributions at the one-loop level
Sample scenario
Conclusion
Comparison with NMSSMCalc
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Conclusions
Findings
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