Abstract
We consider a simple extension of the Standard Model by the addition of N real scalar gauge singlets \( \overrightarrow \varphi \) that are candidates for Dark Matter. By collecting theoretical and experimental constraints we determine the space of allowed parameters of the model. The possibility of ameliorating the little hierarchy problem within the multisinglet model is discussed. The Spergel-Steinhardt solution of the Dark Matter density cusp problem is revisited. It is shown that fitting the recent CRESST-II data for Dark Matter nucleus scattering implies that the standard Higgs boson decays predominantly into pairs of Dark Matter Scalars. In that case discovery of the Higgs boson at LHC and Tevatron is impossible. The most likely mass of the dark scalars is in the range 15 GeV ≾ m φ ≾ 50 GeV with BR(\( h \to \overrightarrow \varphi \overrightarrow \varphi \)) up to 96%.
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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].
M. Veltman and F. Yndurain, Radiative corrections to WW scattering, Nucl. Phys. B 325 (1989) 1 [INSPIRE].
V. Silveira and A. Zee, Scalar phantoms, Phys. Lett. B 161 (1985) 136 [INSPIRE].
J. McDonald, Gauge singlet scalars as cold dark matter, Phys. Rev. D 50 (1994) 3637 [hep-ph/0702143] [INSPIRE].
C. Burgess, M. Pospelov and T. ter Veldhuis, The minimal model of nonbaryonic dark matter: a singlet scalar, Nucl. Phys. B 619 (2001) 709 [hep-ph/0011335] [INSPIRE].
M. Bento, O. Bertolami and R. Rosenfeld, Cosmological constraints on an invisibly decaying Higgs boson, Phys. Lett. B 518 (2001) 276 [hep-ph/0103340] [INSPIRE].
H. Davoudiasl, R. Kitano, T. Li and H. Murayama, The new minimal standard model, Phys. Lett. B 609 (2005) 117 [hep-ph/0405097] [INSPIRE].
J. van der Bij, The minimal non-minimal standard model, Phys. Lett. B 636 (2006) 56 [hep-ph/0603082] [INSPIRE].
X.-G. He, T. Li, X.-Q. Li, J. Tandean and H.-C. Tsai, The simplest dark-matter model, CDMS II results and Higgs detection at LHC, Phys. Lett. B 688 (2010) 332 [arXiv:0912.4722] [INSPIRE].
W.-L. Guo and Y.-L. Wu, The Real singlet scalar dark matter model, JHEP 10 (2010) 083 [arXiv:1006.2518] [INSPIRE].
Y. Cai, X.-G. He and B. Ren, Low mass dark matter and invisible Higgs width in darkon models, Phys. Rev. D 83 (2011) 083524 [arXiv:1102.1522] [INSPIRE].
L.J. Hall and Y. Nomura, A finely-predicted Higgs boson mass from a finely-tuned weak scale, JHEP 03 (2010) 076 [arXiv:0910.2235] [INSPIRE].
A. Bandyopadhyay, S. Chakraborty, A. Ghosal and D. Majumdar, Constraining scalar singlet dark matter with CDMS, XENON and DAMA and prediction for direct detection rates, JHEP 11 (2010) 065 [arXiv:1003.0809] [INSPIRE].
C.E. Yaguna, The singlet scalar as FIMP dark matter, JHEP 08 (2011) 060 [arXiv:1105.1654] [INSPIRE].
Y. Mambrini, Higgs searches and singlet scalar dark matter: combined constraints from XENON 100 and the LHC, Phys. Rev. D 84 (2011) 115017 [arXiv:1108.0671] [INSPIRE].
M. Pospelov and A. Ritz, Higgs decays to dark matter: beyond the minimal model, Phys. Rev. D 84 (2011) 113001 [arXiv:1109.4872] [INSPIRE].
A. Abada, D. Ghaffor and S. Nasri, A two-singlet model for light cold dark matter, Phys. Rev. D 83 (2011) 095021 [arXiv:1101.0365] [INSPIRE].
Y. Mambrini, Invisible Higgs and scalar dark matter, arXiv:1112.0011 [INSPIRE].
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].
B. Grzadkowski and J. Wudka, Pragmatic approach to the little hierarchy problem: the case for dark matter and neutrino physics, Phys. Rev. Lett. 103 (2009) 091802 [arXiv:0902.0628] [INSPIRE].
B. Grzadkowski and J. Wudka, Naive solution of the little hierarchy problem and its physical consequences, Acta Phys. Polon. B 40 (2009) 3007 [arXiv:0910.4829] [INSPIRE].
B. Grzadkowski and J. Wudka, The uses of singlets, J. Phys. Conf. Ser. 259 (2010) 012095 [INSPIRE].
A. Kundu and S. Raychaudhuri, Taming the scalar mass problem with a singlet Higgs boson, Phys. Rev. D 53 (1996) 4042 [hep-ph/9410291] [INSPIRE].
C.F. Kolda and H. Murayama, The Higgs mass and new physics scales in the minimal standard model, JHEP 07 (2000) 035 [hep-ph/0003170] [INSPIRE].
J. Casas, J. Espinosa and I. Hidalgo, Implications for new physics from fine-tuning arguments. 1. Application to SUSY and seesaw cases, JHEP 11 (2004) 057 [hep-ph/0410298] [INSPIRE].
G. Angloher et al., Results from 730 kg days of the CRESST-II dark matter search, arXiv:1109.0702 [INSPIRE].
B.W. Lee, C. Quigg and H. Thacker, Weak interactions at very high-energies: the role of the Higgs boson mass, Phys. Rev. D 16 (1977) 1519 [INSPIRE].
G. Cynolter, E. Lendvai and G. Pocsik, Note on unitarity constraints in a model for a singlet scalar dark matter candidate, Acta Phys. Polon. B 36 (2005) 827 [hep-ph/0410102] [INSPIRE].
M. Gonderinger, Y. Li, H. Patel and M.J. Ramsey-Musolf, Vacuum stability, perturbativity and scalar singlet dark matter, JHEP 01 (2010) 053 [arXiv:0910.3167] [INSPIRE].
B. Grzadkowski and M. Lindner, Stability of triviality mass bounds in the standard model, Phys. Lett. B 178 (1986) 81.
M. Veltman, The infrared-ultraviolet connection, Acta Phys. Polon. B 12 (1981) 437 [INSPIRE].
M. Einhorn and D. Jones, The effective potential and quadratic divergences, Phys. Rev. D 46 (1992) 5206 [INSPIRE].
A. Drozd, RGE and the fine-tuning problem, arXiv:1202.0195 [INSPIRE].
ATLAS collaboration, Combined standard model higgs boson searches with up to 2.3 fb −1 of pp collisions at \( \sqrt {s} = 7\,TeV \) at the LHC, ATLAS-CONF-2011-157 (2011).
Particle Data Goup collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [INSPIRE].
E. Kolb and M. Turner, The early universe, Westview Press, U.S.A. (1994).
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: Improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].
G. Bertone, Particle dark matter: observations, models and searches, Cambridge University press, Cambridge U.K. (2010).
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].
J. McDonald, Thermally generated gauge singlet scalars as selfinteracting dark matter, Phys. Rev. Lett. 88 (2002) 091304 [hep-ph/0106249] [INSPIRE].
XENON100 collaboration, E. Aprile et al., Dark matter results from 100 live days of XENON100 data, Phys. Rev. Lett. 107 (2011) 131302 [arXiv:1104.2549] [INSPIRE].
T. Binoth and J. van der Bij, Influence of strongly coupled, hidden scalars on Higgs signals, Z. Phys. C 75 (1997) 17 [hep-ph/9608245] [INSPIRE].
R. Akhoury, J. van der Bij and H. Wang, Interplay between perturbative and nonperturbative effects in the stealthy Higgs model, Eur. Phys. J. C 20 (2001) 497 [hep-ph/0010187] [INSPIRE].
S. Kanemura, S. Matsumoto, T. Nabeshima and N. Okada, Can WIMP dark matter overcome the nightmare scenario?, Phys. Rev. D 82 (2010) 055026 [arXiv:1005.5651] [INSPIRE].
S. Kanemura, S. Matsumoto, T. Nabeshima and H. Taniguchi, Testing Higgs portal dark matter via Z fusion at a linear collider, Phys. Lett. B 701 (2011) 591 [arXiv:1102.5147] [INSPIRE].
ATLAS collaboration, Combination of Higgs boson searches with up to 4.9 fb −1 of pp collisions data taken at a center-of-mass energy of 7 TeV with the ATLAS experiment at the LHC, ATLAS-CONF-2011-163 (2011).
CMS collaboration, Combination of SM Higgs searches, PAS-HIG-11-032 (2011).
J.F. Navarro, C.S. Frenk and S.D. White, A universal density profile from hierarchical clustering, Astrophys. J. 490 (1997) 493 [astro-ph/9611107] [INSPIRE].
A.A. Klypin, A.V. Kravtsov, O. Valenzuela and F. Prada, Where are the missing galactic satellites?, Astrophys. J. 522 (1999) 82 [astro-ph/9901240] [INSPIRE].
D.N. Spergel and P.J. Steinhardt, Observational evidence for selfinteracting cold dark matter, Phys. Rev. Lett. 84 (2000) 3760 [astro-ph/9909386] [INSPIRE].
B.D. Wandelt et al., Selfinteracting dark matter, astro-ph/0006344 [INSPIRE].
D.E. Holz and A. Zee, Collisional dark matter and scalar phantoms, Phys. Lett. B 517 (2001) 239 [hep-ph/0105284] [INSPIRE].
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ArXiv ePrint: 1112.2582
An erratum to this article is available at http://dx.doi.org/10.1007/JHEP11(2014)130.
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Drozd, A., Grzadkowski, B. & Wudka, J. Multi-scalar-singlet extension of the standard model — The case for dark matter and an invisible Higgs boson. J. High Energ. Phys. 2012, 6 (2012). https://doi.org/10.1007/JHEP04(2012)006
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DOI: https://doi.org/10.1007/JHEP04(2012)006