Precise prediction for the Higgs-boson masses in the \(\mu \nu \) SSM

The European Physical Journal C, Jun 2018

The \(\mu \nu \mathrm {SSM}\) is a simple supersymmetric extension of the Standard Model (SM) capable of predicting neutrino physics in agreement with experiment. In this paper we perform the complete one-loop renormalization of the neutral scalar sector of the \(\mu \nu \mathrm {SSM}\) with one generation of right-handed neutrinos in a mixed on-shell/\({\overline{\mathrm {DR}}}\) scheme. The renormalization procedure is discussed in detail, emphasizing conceptual differences to the minimal (MSSM) and next-to-minimal (NMSSM) supersymmetric standard model regarding the field renormalization and the treatment of non-flavor-diagonal soft mass parameters, which have their origin in the breaking of R-parity in the \(\mu \nu \mathrm {SSM}\). We calculate the full one-loop corrections to the neutral scalar masses of the \(\mu \nu \mathrm {SSM}\). The one-loop contributions are supplemented by available MSSM higher-order corrections. We obtain numerical results for a SM-like Higgs boson mass consistent with experimental bounds. We compare our results to predictions in the NMSSM to obtain a measure for the significance of genuine \(\mu \nu \mathrm {SSM}\)-like contributions. We only find minor corrections due to the smallness of the neutrino Yukawa couplings, indicating that the Higgs boson mass calculations in the \(\mu \nu \mathrm {SSM}\) are at the same level of accuracy as in the NMSSM. Finally we show that the \(\mu \nu \mathrm {SSM}\) can accomodate a Higgs boson that could explain an excess of \(\gamma \gamma \) events at \(\sim 96 \,\mathrm {GeV}\) as reported by CMS, as well as the \(2\,\sigma \) excess of \(b \bar{b}\) events observed at LEP at a similar mass scale.

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Precise prediction for the Higgs-boson masses in the \(\mu \nu \) SSM

Eur. Phys. J. C Precise prediction for the Higgs-boson masses in the μν SSM T. Biekötter 2 3 S. Heinemeyer 0 1 2 C. Muñoz 2 3 0 Instituto de Física de Cantabria (CSIC-UC) , 39005 Santander , Spain 1 Campus of International Excellence UAM 2 Instituto de Física Teórica UAM-CSIC , Cantoblanco, 28049 Madrid , Spain 3 Departamento de Física Teórica, Universidad Autónoma de Madrid (UAM) , Campus de Cantoblanco, 28049 Madrid , Spain 4 CSIC , Cantoblanco, 28049 Madrid , Spain The μνSSM is a simple supersymmetric extension of the Standard Model (SM) capable of predicting neutrino physics in agreement with experiment. In this paper we perform the complete one-loop renormalization of the neutral scalar sector of the μνSSM with one generation of right-handed neutrinos in a mixed on-shell/DR scheme. The renormalization procedure is discussed in detail, emphasizing conceptual differences to the minimal (MSSM) and next-to-minimal (NMSSM) supersymmetric standard model regarding the field renormalization and the treatment of nonflavor-diagonal soft mass parameters, which have their origin in the breaking of R-parity in the μνSSM. We calculate the full one-loop corrections to the neutral scalar masses of the μνSSM. The one-loop contributions are supplemented by available MSSM higher-order corrections. We obtain numerical results for a SM-like Higgs boson mass consistent with experimental bounds. We compare our results to predictions in the NMSSM to obtain a measure for the significance of genuine μνSSM-like contributions. We only find minor corrections due to the smallness of the neutrino Yukawa couplings, indicating that the Higgs boson mass calculations in the μνSSM are at the same level of accuracy as in the NMSSM. Finally we show that the μνSSM can accomodate a Higgs boson that could explain an excess of γ γ events at ∼ 96 GeV as reported by CMS, as well as the 2 σ excess of bb¯ events observed at LEP at a similar mass scale. 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 (EWSB). While within the present experimental uncertainties the properties of the observed Higgs boson are compatible with the predictions of the Standard Model (SM) [3], many other interpretations are possible as well, in particular as a Higgs boson of an extended Higgs sector. Consequently, any model describing electroweak physics needs to provide a state that can be identified with the observed signal. 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 simplest SUSY extension is the Minimal Supersymmetric Standard Model (MSSM) [ 4,5 ]. In contrast to the single Higgs doublet of the 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 CPodd and two charged Higgs bosons. The light (or the heavy) CP-even MSSM Higgs boson can be interpreted as the signal discovered at ∼ 125 GeV [6]. Going beyond the MSSM, a well-motivated extension is given by the Next-to-Minimal Supersymmetric Standard Model (NMSSM), see e.g. [ 7,8 ] for reviews. In particular the NMSSM provides a solution for the so-called “μ problem” by naturally associating an adequate scale to the μ parameter appearing in the MSSM superpotential [ 9,10 ]. In the NMSSM a new singlet superfield is introduced, which only couples to the Higgs- and sfermion-sectors, giving rise to an effective μ-term, proportional to the vacuum expectation value (vev) of the scalar singlet. Assuming CP conservation, as we do 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., [ 11,12 ]. A natural extension of the NMSSM is the μνSSM, in which the singlet superfield is interpreted as a right-handed neutrino superfield [ 13,14 ] (see Refs. [ 15–17 ] for reviews). The μνSSM is the simplest extension of the MSSM that can provide massive neutrinos through a see-saw mechanism at the electroweak scale. In this paper we will focus on the μνSSM with one family of right-handed neutrino superfields, and the case of three families will be studied in a future publication.1 The μ problem is solved analogously to the NMSSM by the coupling of the right-handed neutrino superfield to the Higgs sector, and a trilinear couplin (...truncated)


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T. Biekötter, S. Heinemeyer, C. Muñoz. Precise prediction for the Higgs-boson masses in the \(\mu \nu \) SSM, The European Physical Journal C, 2018, pp. 504, Volume 78, Issue 6, DOI: 10.1140/epjc/s10052-018-5978-7