Precise predictions for the Higgs-boson masses in the NMSSM

The European Physical Journal C, Jan 2017

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 \(\mathcal {O}{(\alpha _t \alpha _s, \alpha _b \alpha _s, \alpha _t^2,\alpha _t\alpha _b)}\), 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.

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Precise predictions for the Higgs-boson masses in the NMSSM

Eur. Phys. J. C Precise predictions for the Higgs-boson masses in the NMSSM P. Drechsel 2 L. Galeta 1 S. Heinemeyer 0 1 G. Weiglein 2 0 Instituto de Física Teórica, (UAM/CSIC), Universidad Autónoma de Madrid , Cantoblanco, 28049 Madrid , Spain 1 Instituto de Física de Cantabria (CSIC-UC) , Santander , Spain 2 DESY , Notkestraß e 85, 22607 Hamburg , Germany The particle discovered in the Higgs-boson searches at the LHC with a mass of about 125 GeV can be identified with one of the neutral Higgs bosons of the Nextto-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 O(αt αs , αbαs , αt2, αt αb), 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. 1 Introduction The spectacular discovery of a boson with a mass around 125 GeV by the ATLAS and CMS experiments [ 1,2 ] at CERN constitutes a milestone in the quest for understanding the physics of electroweak symmetry breaking. Any model describing electroweak physics needs to provide a state that can be identified with the observed signal. While within the present experimental uncertainties the properties of the observed state are compatible with the predictions of the Standard Model (SM) [ 3,4 ], many other interpretations are possible as well, in particular as a Higgs boson of an extended Higgs sector. 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. The light CP-even MSSM Higgs boson can be interpreted as the signal discovered at about 125 GeV; see e.g. [ 7,8 ]. Going beyond the MSSM, this model has a well-motivated extension in the Next-to-Minimal Supersymmetric Standard Model (NMSSM); see e.g. [ 9,10 ] for reviews. The NMSSM provides in particular a solution for naturally associating an adequate scale to the μ parameter appearing in the MSSM superpotential [ 11,12 ]. In the NMSSM, the introduction of a new singlet superfield, which only couples to the Higgs and sfermion sectors, gives rise to an effective μ-term, generated in a similar way as the Yukawa mass terms of fermions through its vacuum expectation value. 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 ±. In addition, the SUSY partner of the singlet Higgs (called the singlino) extends the neutralino sector to a total of five neutralinos. In the NMSSM the lightest but also the second lightest CP-even neutral Higgs boson can be interpreted as the signal observed at about 125 GeV; see, e.g., [ 13,14 ]. The measured mass value of the observed signal has already reached the level of a precision observable, with an experimental accuracy of better than 300 MeV [ 15 ], and by itself provides an important test for the predictions of models of electroweak symmetry breaking. In the MSSM the masses of the CP-even Higgs bosons can be predicted at lowest order in terms of two SUSY parameters characterising the MSSM Higgs sector, e.g. tan β, the ratio of the vacuum expectation values of the two doublets, and the mass of the CP-odd Higgs boson, MA, or the charged Higgs boson, MH± . These relations, which in particular give rise to an upper bound on the mass of the light CP-even Higgs boson given by the Z -boson mass, receive large corrections from higher-order contributions. In the NMSSM the corresponding predictions are modified both at the tree level and the loop level. In order to fully exploit th (...truncated)


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P. Drechsel, L. Galeta, S. Heinemeyer, G. Weiglein. Precise predictions for the Higgs-boson masses in the NMSSM, The European Physical Journal C, 2017, pp. 42, Volume 77, Issue 1, DOI: 10.1140/epjc/s10052-017-4595-1