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)