Abstract
We propose that dark matter is stable as a consequence of an accidental \( {{\mathbb{Z}}_2} \) that results from a flavour symmetry group which is the double-cover group of the symmetry group of one of the regular geometric solids. Although model-dependent, the phenomenology resembles that of a generic “inert Higgs” dark matter scheme.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. McDonald, Neutrino oscillations measurements: past and present, talk at the XIV International Workshop on Neutrino Telescopes, March 15–18, Venice, Italy (2011).
M. Maltoni, T. Schwetz, M.A. Tórtola and J.W.F. Valle, Status of global fits to neutrino oscillations, New J. Phys. 6 (2004) 122 [hep-ph/0405172] [INSPIRE].
G. Bertone, D. Hooper and J. Silk, Particle dark matter: evidence, candidates and constraints, Phys. Rept. 405 (2005) 279 [hep-ph/0404175] [INSPIRE].
E. Ma and G. Rajasekaran, Softly broken A 4 symmetry for nearly degenerate neutrino masses, Phys. Rev. D 64 (2001) 113012 [hep-ph/0106291] [INSPIRE].
K.S. Babu, E. Ma and J.W.F. Valle, Underlying A 4 symmetry for the neutrino mass matrix and the quark mixing matrix, Phys. Lett. B 552 (2003) 207 [hep-ph/0206292] [INSPIRE].
G. Altarelli and F. Feruglio, Tri-bimaximal neutrino mixing from discrete symmetry in extra dimensions, Nucl. Phys. B 720 (2005) 64 [hep-ph/0504165] [INSPIRE].
M. Hirsch et al., Proceedings of the first workshop on flavor symmetries and consequences in accelerators and cosmology (FLASY2011), arXiv:1201.5525 [INSPIRE].
H. Ishimori et al., Non-abelian discrete symmetries in particle physics, Prog. Theor. Phys. Suppl. 183 (2010) 1 [arXiv:1003.3552] [INSPIRE].
M. Drees and M.M. Nojiri, The neutralino relic density in minimal N = 1 supergravity, Phys. Rev. D 47 (1993) 376 [hep-ph/9207234] [INSPIRE].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
C. Boehm, Y. Farzan, T. Hambye, S. Palomares-Ruiz and S. Pascoli, Is it possible to explain neutrino masses with scalar dark matter?, Phys. Rev. D 77 (2008) 043516 [hep-ph/0612228] [INSPIRE].
N.G. Deshpande and E. Ma, Pattern of symmetry breaking with two Higgs doublets, Phys. Rev. D 18 (1978) 2574 [INSPIRE].
L. Lopez Honorez and C.E. Yaguna, A new viable region of the inert doublet model, JCAP 01 (2011) 002 [arXiv:1011.1411] [INSPIRE].
P.-H. Gu and U. Sarkar, Radiative seesaw in left-right symmetric model, Phys. Rev. D 78 (2008) 073012 [arXiv:0807.0270] [INSPIRE].
Y. Farzan, A minimal model linking two great mysteries: neutrino mass and dark matter, Phys. Rev. D 80 (2009) 073009 [arXiv:0908.3729] [INSPIRE].
E. Ma and D. Suematsu, Fermion triplet dark matter and radiative neutrino mass, Mod. Phys. Lett. A 24 (2009) 583 [arXiv:0809.0942] [INSPIRE].
E. Ma, Radiative inverse seesaw mechanism for nonzero neutrino mass, Phys. Rev. D 80 (2009) 013013 [arXiv:0904.4450] [INSPIRE].
Y. Farzan and E. Ma, Dirac neutrino mass generation from dark matter, Phys. Rev. D 86 (2012) 033007 [arXiv:1204.4890] [INSPIRE].
M.K. Parida, Radiative seesaw in SO(10) with dark matter, Phys. Lett. B 704 (2011) 206 [arXiv:1106.4137] [INSPIRE].
D. Suematsu and T. Toma, Dark matter in the supersymmetric radiative seesaw model with an anomalous U(1) symmetry, Nucl. Phys. B 847 (2011) 567 [arXiv:1011.2839] [INSPIRE].
S. Kanemura, T. Nabeshima and H. Sugiyama, TeV-scale seesaw with loop-induced Dirac mass term and dark matter from U(1)B−L gauge symmetry breaking, Phys. Rev. D 85 (2012) 033004 [arXiv:1111.0599] [INSPIRE].
M. Hirsch, S. Morisi, E. Peinado and J.W.F. Valle, Discrete dark matter, Phys. Rev. D 82 (2010) 116003 [arXiv:1007.0871] [INSPIRE].
D. Meloni, S. Morisi and E. Peinado, Stability of dark matter from the D 4 × Z 2 flavor group, Phys. Lett. B 703 (2011) 281 [arXiv:1104.0178] [INSPIRE].
M. Boucenna et al., Phenomenology of dark matter from A 4 flavor symmetry, JHEP 05 (2011) 037 [arXiv:1101.2874] [INSPIRE].
D. Meloni, S. Morisi and E. Peinado, Neutrino phenomenology and stable dark matter with A 4, Phys. Lett. B 697 (2011) 339 [arXiv:1011.1371] [INSPIRE].
K.M. Parattu and A. Wingerter, Tribimaximal mixing from small groups, Phys. Rev. D 84 (2011) 013011 [arXiv:1012.2842] [INSPIRE].
G. Altarelli and F. Feruglio, Discrete flavor symmetries and models of neutrino mixing, Rev. Mod. Phys. 82 (2010) 2701 [arXiv:1002.0211] [INSPIRE].
S. Antusch, J. Kersten, M. Lindner, M. Ratz and M.A. Schmidt, Running neutrino mass parameters in see-saw scenarios, JHEP 03 (2005) 024 [hep-ph/0501272] [INSPIRE].
L.L. Everett and A.J. Stuart, Icosahedral (A 5 ) family symmetry and the golden ratio prediction for solar neutrino mixing, Phys. Rev. D 79 (2009) 085005 [arXiv:0812.1057] [INSPIRE].
Y. Kajiyama, M. Raidal and A. Strumia, The golden ratio prediction for the solar neutrino mixing, Phys. Rev. D 76 (2007) 117301 [arXiv:0705.4559] [INSPIRE].
I.d.M. Varzielas and L. Lavoura, Flavour models for TM1 lepton mixing, arXiv:1212.3247 [INSPIRE].
F. Bazzocchi and S. Morisi, S 4 as a natural flavor symmetry for lepton mixing, Phys. Rev. D 80 (2009) 096005 [arXiv:0811.0345] [INSPIRE].
C.S. Lam, Determining horizontal symmetry from neutrino mixing, Phys. Rev. Lett. 101 (2008) 121602 [arXiv:0804.2622] [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino decay and spontaneous violation of lepton number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
J. Barry and W. Rodejohann, Neutrino mass sum-rules in flavor symmetry models, Nucl. Phys. B 842 (2011) 33 [arXiv:1007.5217] [INSPIRE].
L. Dorame, D. Meloni, S. Morisi, E. Peinado and J.W.F. Valle, Constraining neutrinoless double beta decay, Nucl. Phys. B 861 (2012) 259 [arXiv:1111.5614] [INSPIRE].
DOUBLE-CHOOZ collaboration, Y. Abe et al., Indication for the disappearance of reactor electron antineutrinos in the Double CHOOZ experiment, Phys. Rev. Lett. 108 (2012) 131801 [arXiv:1112.6353] [INSPIRE].
DAYA-BAY collaboration, F. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].
RENO collaboration, J.K. Ahn et al., Observation of reactor electron antineutrino disappearance in the RENO experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].
S. Antusch and V. Maurer, Large neutrino mixing angle \( \theta_{13}^{MNS } \) and quark-lepton mass ratios in unified flavour models, Phys. Rev. D 84 (2011) 117301 [arXiv:1107.3728] [INSPIRE].
S. Antusch, C. Gross, V. Maurer and C. Sluka, \( \theta_{13}^{PMNS }={\theta_C}/\sqrt{2} \) from GUTs, Nucl. Phys. B 866 (2013) 255 [arXiv:1205.1051] [INSPIRE].
E. Ma and D. Wegman, Nonzero θ13 for neutrino mixing in the context of A 4 symmetry, Phys. Rev. Lett. 107 (2011) 061803 [arXiv:1106.4269] [INSPIRE].
M. Hirsch, J. Romao, S. Skadhauge, J.W.F. Valle and A. Villanova del Moral, Phenomenological tests of supersymmetric A 4 family symmetry model of neutrino mass, Phys. Rev. D 69 (2004) 093006 [hep-ph/0312265] [INSPIRE].
R. Barbieri, L.J. Hall and V.S. Rychkov, Improved naturalness with a heavy Higgs: an alternative road to LHC physics, Phys. Rev. D 74 (2006) 015007 [hep-ph/0603188] [INSPIRE].
WMAP collaboration, E. Komatsu et al., Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 192 (2011) 18 [arXiv:1001.4538] [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].
M. Gustafsson, S. Rydbeck, L. Lopez-Honorez and E. Lundstrom, Status of the inert doublet model and the role of multileptons at the LHC, Phys. Rev. D 86 (2012) 075019 [arXiv:1206.6316] [INSPIRE].
G. Gil, P. Chankowski and M. Krawczyk, Inert dark matter and strong electroweak phase transition, Phys. Lett. B 717 (2012) 396 [arXiv:1207.0084] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lavoura, L., Morisi, S. & Valle, J.W.F. Accidental stability of dark matter. J. High Energ. Phys. 2013, 118 (2013). https://doi.org/10.1007/JHEP02(2013)118
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2013)118