Vacuum structure and stability of a singlet fermion dark matter model with a singlet scalar messenger Authors Seungwon Baek P. Ko Wan-Il Park Eibun Senaha Article

First Online: 20 November 2012 Received: 27 September 2012 Accepted: 31 October 2012 DOI :
10.1007/JHEP11(2012)116

Cite this article as: Baek, S., Ko, P., Park, W. et al. J. High Energ. Phys. (2012) 2012: 116. doi:10.1007/JHEP11(2012)116
Abstract We consider the issue of vacuum stability and triviality bound of the singlet extension of the Standard Model (SM) with a singlet fermion dark matter (DM). In this model, the singlet scalar plays the role of a messenger between the SM sector and the dark matter sector. This model has two Higgs-like scalar bosons, and is consistent with all the data on electroweak precision tests, thermal relic density of DM and its direct detection constraints. We show that this model is stable without hitting Landau pole up to Planck scale for 125 GeV Higgs boson. We also perform a comprehensive study of vacuum structure, and point out that a region where electroweak vacuum is the global minimum is highly limited. In this model, both Higgs-like scalar bosons have reduced couplings to the SM weak gauge bosons and the SM fermions, because of the mixing between the SM Higgs boson and the singlet scalar. There is also a possibility of their invisible decay(s) into a pair of DM’s. Therefore this model would be disfavored if the future data on the (σ B )_{VV} or \( {{\left( {\sigma \cdot B} \right)}_f}_{\bar{f}} \) with V = γ, W, Z and f = b, τ turn out larger than the SM predictions.

Keywords Higgs Physics Beyond Standard Model Cosmology of Theories beyond the SM

References [1]

M. Gavela, P. Hernández, J. Orloff and O. Pene,

Standard model CP-violation and baryon asymmetry ,

Mod. Phys. Lett.
A 9 (1994) 795 [

hep-ph/9312215 ] [

INSPIRE ].

ADS [2]

M. Gavela, P. Hernández, J. Orloff, O. Pene and C. Quimbay,

Standard model CP-violation and baryon asymmetry. Part 2: Finite temperature ,

Nucl. Phys.
B 430 (1994) 382 [

hep-ph/9406289 ] [

INSPIRE ].

ADS CrossRef [3]

P. Huet and E. Sather,

Electroweak baryogenesis and standard model CP-violation ,

Phys. Rev.
D 51 (1995) 379 [

hep-ph/9404302 ] [

INSPIRE ].

ADS [4]

T. Konstandin, T. Prokopec and M.G. Schmidt,

Axial currents from CKM matrix CP-violation and electroweak baryogenesis ,

Nucl. Phys.
B 679 (2004) 246 [

hep-ph/0309291 ] [

INSPIRE ].

ADS CrossRef [5]

P. Minkowski,

μ →

e γ

at a Rate of One Out of 1-Billion Muon Decays? ,

Phys. Lett.
B 67 (1977) 421 [

INSPIRE ].

ADS [6]

M. Gell-Mann, P. Ramond and R. Slansky,

Complex Spinors And Unified Theories ,

Conf. Proc.
C 790927 (1979) 315 [

INSPIRE ].

[7]

T. Yanagida, Horizontal gauge symmetry and masses of neutrinos , in proceedings of Workshop on Unified Theories and Baryon Number in the Universe , O. Sawada and A. Sugamoto eds., KEK, Tsukuba, Japan (1979).

[8]

T. Yanagida,

Horizontal Symmetry and Masses of Neutrinos ,

Prog. Theor. Phys.
64 (1980) 1103 [

INSPIRE ].

ADS CrossRef [9]

M. Fukugita and T. Yanagida,

Baryogenesis Without Grand Unification ,

Phys. Lett.
B 174 (1986) 45 [

INSPIRE ].

ADS [10]

W. Buchmüller and M. Plümacher,

Neutrino masses and the baryon asymmetry ,

Int. J. Mod. Phys.
A 15 (2000) 5047 [

hep-ph/0007176 ] [

INSPIRE ].

ADS [11]

W. Buchmüller, P. Di Bari and M. Plümacher,

Leptogenesis for pedestrians ,

Annals Phys.
315 (2005) 305 [

hep-ph/0401240 ] [

INSPIRE ].

ADS MATH CrossRef [12]

W. Buchmüller, R. Peccei and T. Yanagida,

Leptogenesis as the origin of matter ,

Ann. Rev. Nucl. Part. Sci.
55 (2005) 311 [

hep-ph/0502169 ] [

INSPIRE ].

ADS CrossRef [13]

M.-C. Chen,

TASI 2006 Lectures on Leptogenesis ,

hep-ph/0703087 [

INSPIRE ].

[14]

S. Davidson, E. Nardi and Y. Nir,

Leptogenesis ,

Phys. Rept.
466 (2008) 105 [

arXiv:0802.2962 ] [

INSPIRE ].

ADS CrossRef [15]

S. Baek, P. Ko and W.-I. Park,

Search for the Higgs portal to a singlet fermionic dark matter at the LHC ,

JHEP
02 (2012) 047 [

arXiv:1112.1847 ] [

INSPIRE ].

ADS CrossRef [16]

Y.G. Kim, K.Y. Lee and S. Shin,

Singlet fermionic dark matter ,

JHEP
05 (2008) 100 [

arXiv:0803.2932 ] [

INSPIRE ].

ADS [17]

L. Lopez-Honorez, T. Schwetz and J. Zupan,

Higgs portal, fermionic dark matter and a Standard Model like Higgs at 125 GeV ,

Phys. Lett.
B 716 (2012) 179 [

arXiv:1203.2064 ] [

INSPIRE ].

ADS [18]

J. Incandela,

Stauts of the CMS SM Higgs search , talk given at the conference

Latest update in the search for the Higgs boson , CERN, Geneva, 4 July 2012 [

http://indico.cern.ch/conferenceDisplay.py?confId=197461 ].

[19]

F. Gianotti,

Status of standard model Higgs searches at ATLAS , talk given at the conference

Latest update in the search for the Higgs boson , CERN, Geneva, 4 July 2012 [

http://indico.cern.ch/conferenceDisplay.py?confId=197461 ].

[20]

ATLAS collaboration, G. Aad et al.,

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC ,

Phys. Lett.
B 716 (2012) 1 [

arXiv:1207.7214 ] [

INSPIRE ].

ADS [21]

CMS collaboration, S. Chatrchyan et al.,

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC ,

Phys. Lett.
B 716 (2012) 30 [

arXiv:1207.7235 ] [

INSPIRE ].

ADS [22]

I. Krive and A.D. Linde,

On the Vacuum Stability Problem in Gauge Theories ,

Nucl. Phys.
B 117 (1976) 265 [

INSPIRE ].

ADS CrossRef [23]

N. Cabibbo, L. Maiani, G. Parisi and R. Petronzio,

Bounds on the Fermions and Higgs Boson Masses in Grand Unified Theories ,

Nucl. Phys.
B 158 (1979) 295 [

INSPIRE ].

ADS CrossRef [24]

G.W. Anderson,

New cosmological constraints on the Higgs boson and top quark masses ,

Phys. Lett.
B 243 (1990) 265 [

INSPIRE ].

ADS [25]

J. Elias-Miro, J.R. Espinosa, G.F. Giudice, G. Isidori, A. Riotto and A. Strumia,

Higgs mass implications on the stability of the electroweak vacuum ,

Phys. Lett.
B 709 (2012) 222 [

arXiv:1112.3022 ] [

INSPIRE ].

ADS [26]

G. Degrassi, S. Di Vita, J. Elias-Miro, J.R. Espinosa, G.F. Giudice and A. Strumia,

Higgs mass and vacuum stability in the Standard Model at NNLO ,

JHEP
08 (2012) 098 [

arXiv:1205.6497 ] [

INSPIRE ].

ADS CrossRef [27]

S. Alekhin, A. Djouadi and S. Moch,

The top quark and Higgs boson masses and the stability of the electroweak vacuum ,

Phys. Lett.
B 716 (2012) 214 [

arXiv:1207.0980 ] [

INSPIRE ].

ADS [28]

I. Masina,

The Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability ,

arXiv:1209.0393 [

INSPIRE ].

[29]

F. Bezrukov and M. Shaposhnikov,

The Standard Model Higgs boson as the inflaton ,

Phys. Lett.
B 659 (2008) 703 [

arXiv:0710.3755 ] [

INSPIRE ].

ADS [30]

I. Masina and A. Notari,

Standard Model False Vacuum Inflation: Correlating the Tensor-to-Scalar Ratio to the Top Quark and Higgs Boson masses ,

Phys. Rev. Lett.
108 (2012) 191302 [

arXiv:1112.5430 ] [

INSPIRE ].

ADS CrossRef [31]

I. Masina and A. Notari,

The Higgs mass range from Standard Model false vacuum Inflation in scalar-tensor gravity ,

Phys. Rev.
D 85 (2012) 123506 [

arXiv:1112.2659 ] [

INSPIRE ].

ADS [32]

I. Masina and A. Notari,

Inflation from the Higgs field false vacuum with hybrid potential ,

arXiv:1204.4155 [

INSPIRE ].

[33]

B.W. Lee, C. Quigg and H. Thacker,

The Strength of Weak Interactions at Very High-Energies and the Higgs Boson Mass ,

Phys. Rev. Lett.
38 (1977) 883 [

INSPIRE ].

ADS CrossRef [34]

C. Englert, T. Plehn, D. Zerwas and P.M. Zerwas,

Exploring the Higgs portal ,

Phys. Lett.
B 703 (2011) 298 [

arXiv:1106.3097 ] [

INSPIRE ].

ADS [35]

LEP Working Group for Higgs boson searches, ALEPH, DELPHI, L3, OPAL collaborations, R. Barate et al.,

Search for the standard model Higgs boson at LEP ,

Phys. Lett.
B 565 (2003) 61 [

hep-ex/0306033 ] [

INSPIRE ].

ADS [36]

M.E. Peskin and T. Takeuchi,

A New constraint on a strongly interacting Higgs sector ,

Phys. Rev. Lett.
65 (1990) 964 [

INSPIRE ].

ADS CrossRef [37]

I. Maksymyk, C. Burgess and D. London,

Beyond S, T and U ,

Phys. Rev.
D 50 (1994) 529 [

hep-ph/9306267 ] [

INSPIRE ].

ADS [38]

N. Jarosik et al.,

Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors and Basic Results ,

Astrophys. J. Suppl.
192 (2011) 14 [

arXiv:1001.4744 ] [

INSPIRE ].

ADS CrossRef [39]

XENON100 collaboration, E. Aprile et al.,

Dark Matter Results from 225 Live Days of XENON100 Data ,

Phys. Rev. Lett.
109 (2012) 181301 [

arXiv:1207.5988 ] [

INSPIRE ].

ADS CrossRef [40]

P. Gondolo and G. Gelmini,

Cosmic abundances of stable particles: Improved analysis ,

Nucl. Phys.
B 360 (1991) 145 [

INSPIRE ].

ADS CrossRef [41]

G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov,

Dark matter direct detection rate in a generic model with MicrOMEGAs 2.2 ,

Comput. Phys. Commun.
180 (2009) 747 [

arXiv:0803.2360 ] [

INSPIRE ].

ADS MATH CrossRef [42]

S. Baek, P. Ko, W.-I. Park and E. Senaha, Higgs portal vector dark matter: revisited , work in preparation.

[43]

A. Djouadi, O. Lebedev, Y. Mambrini and J. Quevillon,

Implications of LHC searches for Higgs-portal dark matter ,

Phys. Lett.
B 709 (2012) 65 [

arXiv:1112.3299 ] [

INSPIRE ].

ADS [44]

J.R. Espinosa, T. Konstandin and F. Riva,

Strong Electroweak Phase Transitions in the Standard Model with a Singlet ,

Nucl. Phys.
B 854 (2012) 592 [

arXiv:1107.5441 ] [

INSPIRE ].

ADS CrossRef [45]

K. Funakubo, S. Tao and F. Toyoda,

Phase transitions in the NMSSM ,

Prog. Theor. Phys.
114 (2005) 369 [

hep-ph/0501052 ] [

INSPIRE ].

ADS CrossRef [46]

K. Cheung, T.-J. Hou, J.S. Lee and E. Senaha,

The Higgs Boson Sector of the Next-to-MSSM with CP-violation ,

Phys. Rev.
D 82 (2010) 075007 [

arXiv:1006.1458 ] [

INSPIRE ].

ADS [47]

S.R. Coleman and E.J. Weinberg,

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking ,

Phys. Rev.
D 7 (1973) 1888 [

INSPIRE ].

ADS [48]

R. Jackiw,

Functional evaluation of the effective potential ,

Phys. Rev.
D 9 (1974) 1686 [

INSPIRE ].

ADS [49]

Tevatron Electroweak Working Group, CD, D0 collaboration,

Combination of CDF and D0 results on the mass of the top quark using up to 5.8 fb
^{−1}
of data ,

arXiv:1107.5255 [

INSPIRE ].

[50]

B. Allanach, A. Djouadi, J. Kneur, W. Porod and P. Slavich,

Precise determination of the neutral Higgs boson masses in the MSSM ,

JHEP
09 (2004) 044 [

hep-ph/0406166 ] [

INSPIRE ].

ADS CrossRef [51]

O. Lebedev,

On Stability of the Electroweak Vacuum and the Higgs Portal ,

Eur. Phys. J.
C 72 (2012) 2058 [

arXiv:1203.0156 ] [

INSPIRE ].

ADS [52]

J. Elias-Miro, J.R. Espinosa, G.F. Giudice, H.M. Lee and A. Strumia,

Stabilization of the Electroweak Vacuum by a Scalar Threshold Effect ,

JHEP
06 (2012) 031 [

arXiv:1203.0237 ] [

INSPIRE ].

ADS CrossRef [53]

B. Batell, D. McKeen and M. Pospelov,

Singlet Neighbors of the Higgs Boson ,

JHEP
10 (2012) 104 [

arXiv:1207.6252 ] [

INSPIRE ].

ADS CrossRef [54]

U. Langenfeld, S. Moch and P. Uwer,

Measuring the running top-quark mass ,

Phys. Rev.
D 80 (2009) 054009 [

arXiv:0906.5273 ] [

INSPIRE ].

ADS © SISSA, Trieste, Italy 2012