Abstract
We present a class of models with radiative neutrino mass and stable dark-matter candidates. Neutrino mass is generated by a one-loop diagram with the same topography as Ma’s 2006 proposal (which used an inert scalar-doublet and singlet fermion). We generalize this approach and determine all variants with new fields no larger than the adjoint representation. When the neutrino mass diagram contains a Majorana mass insertion there are two possibilities, both of which are known. If the mass insertion is of the Dirac type there are seven additional models, two of which are excluded by direct-detection experiments. The other five models are also constrained, such that only scalar dark-matter is viable. There are cases with an inert singlet, an inert doublet, and an inert triplet, providing a natural setting for inert N -tuplet models of dark matter, with the additional feature of achieving radiative neutrino mass. We show that some of the models admit a simple explanation for the (requisite) discrete symmetry, and briefly discuss cases with representations larger than the adjoint, which can admit a connection to the astrophysical gamma-ray signal.
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M.C. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].
A.H.G. Peter, Dark matter: a brief review, arXiv:1201.3942 [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [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].
J. Kopp, E.T. Neil, R. Primulando and J. Zupan, From gamma ray line signals of dark matter to the LHC, Phys. Dark Univ. 2 (2013) 22 [arXiv:1301.1683] [INSPIRE].
C. Weniger, A tentative gamma-ray line from dark matter annihilation at the Fermi Large Area Telescope, JCAP 08 (2012) 007 [arXiv:1204.2797] [INSPIRE].
L.M. Krauss, S. Nasri and M. Trodden, A model for neutrino masses and dark matter, Phys. Rev. D 67 (2003) 085002 [hep-ph/0210389] [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].
M. Lindner, D. Schmidt and T. Schwetz, Dark matter and neutrino masses from global U(1) B−L symmetry breaking, Phys. Lett. B 705 (2011) 324 [arXiv:1105.4626] [INSPIRE].
F.-X. Josse-Michaux and E. Molinaro, A common framework for dark matter, leptogenesis and neutrino masses, Phys. Rev. D 84 (2011) 125021 [arXiv:1108.0482] [INSPIRE].
S. Kanemura, T. Nabeshima and H. Sugiyama, TeV-scale seesaw with a 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. Gustafsson, J.M. No and M.A. Rivera, The cocktail model: neutrino masses and mixings with dark matter, Phys. Rev. Lett. 110 (2013) 211802 [arXiv:1212.4806] [INSPIRE].
M. Aoki, J. Kubo and H. Takano, Two-loop radiative seesaw with multicomponent dark matter explaining the possible gamma excess in the Higgs boson decay and at the Fermi LAT, Phys. Rev. D 87 (2013) 116001 [arXiv:1302.3936] [INSPIRE].
Y. Kajiyama, H. Okada and T. Toma, Multicomponent dark matter particles in a two-loop neutrino model, Phys. Rev. D 88 (2013) 015029 [arXiv:1303.7356] [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.P. 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].
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].
L. Lopez Honorez, E. Nezri, J.F. Oliver and M.H.G. Tytgat, The inert doublet model: an archetype for dark matter, JCAP 02 (2007) 028 [hep-ph/0612275] [INSPIRE].
Q.-H. Cao, E. Ma and G. Rajasekaran, Observing the dark scalar doublet and its impact on the standard-model Higgs boson at colliders, Phys. Rev. D 76 (2007) 095011 [arXiv:0708.2939] [INSPIRE].
S. Andreas, M.H.G. Tytgat and Q. Swillens, Neutrinos from inert doublet dark matter, JCAP 04 (2009) 004 [arXiv:0901.1750] [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].
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].
S. Kashiwase and D. Suematsu, Baryon number asymmetry and dark matter in the neutrino mass model with an inert doublet, Phys. Rev. D 86 (2012) 053001 [arXiv:1207.2594] [INSPIRE].
M. Cirelli, N. Fornengo and A. Strumia, Minimal dark matter, Nucl. Phys. B 753 (2006) 178 [hep-ph/0512090] [INSPIRE].
M. Cirelli, A. Strumia and M. Tamburini, Cosmology and astrophysics of minimal dark matter, Nucl. Phys. B 787 (2007) 152 [arXiv:0706.4071] [INSPIRE].
E. Ma, Pathways to naturally small neutrino masses, Phys. Rev. Lett. 81 (1998) 1171 [hep-ph/9805219] [INSPIRE].
F. Bonnet, M. Hirsch, T. Ota and W. Winter, Systematic study of the D = 5 Weinberg operator at one-loop order, JHEP 07 (2012) 153 [arXiv:1204.5862] [INSPIRE].
M. Fabbrichesi and S. Petcov, Low-scale seesaw and dark matter, arXiv:1304.4001 [INSPIRE].
K.L. McDonald, Minimal tree-level seesaws with a heavy intermediate fermion, JHEP 07 (2013) 020 [arXiv:1303.4573] [INSPIRE].
K. Hally, H.E. Logan and T. Pilkington, Constraints on large scalar multiplets from perturbative unitarity, Phys. Rev. D 85 (2012) 095017 [arXiv:1202.5073] [INSPIRE].
R. Foot, H. Lew, X.G. He and G.C. Joshi, Seesaw neutrino masses induced by a triplet of leptons, Z. Phys. C 44 (1989) 441 [INSPIRE].
S.-Y. Ho and J. Tandean, Probing scotogenic effects in Higgs boson decays, Phys. Rev. D 87 (2013) 095015 [arXiv:1303.5700] [INSPIRE].
D. Schmidt, T. Schwetz and T. Toma, Direct detection of leptophilic dark matter in a model with radiative neutrino masses, Phys. Rev. D 85 (2012) 073009 [arXiv:1201.0906] [INSPIRE].
C.-K. Chua and S.S.C. Law, Phenomenological constraints on minimally coupled exotic lepton triplets, Phys. Rev. D 83 (2011) 055010 [arXiv:1011.4730] [INSPIRE].
A. Delgado, C. Garcia Cely, T. Han and Z. Wang, Phenomenology of a lepton triplet, Phys. Rev. D 84 (2011) 073007 [arXiv:1105.5417] [INSPIRE].
S.S.C. Law and K.L. McDonald, Inverse seesaw and dark matter in models with exotic lepton triplets, Phys. Lett. B 713 (2012) 490 [arXiv:1204.2529] [INSPIRE].
I. Baldes, N.F. Bell, K. Petraki and R.R. Volkas, Two radiative inverse seesaw models, dark matter and baryogenesis, JCAP 07 (2013) 029 [arXiv:1304.6162] [INSPIRE].
G. Bambhaniya, J. Chakrabortty, S. Goswami and P. Konar, Generation of neutrino mass from new physics at TeV scale and multi-lepton signatures at the LHC, arXiv:1305.2795 [INSPIRE].
E. Del Nobile, R. Franceschini, D. Pappadopulo and A. Strumia, Minimal matter at the Large Hadron Collider, Nucl. Phys. B 826 (2010) 217 [arXiv:0908.1567] [INSPIRE].
A. Joglekar, P. Schwaller and C.E.M. Wagner, Dark matter and enhanced Higgs to di-photon rate from vector-like leptons, JHEP 12 (2012) 064 [arXiv:1207.4235] [INSPIRE].
C. Arina, R.N. Mohapatra and N. Sahu, Co-genesis of matter and dark matter with vector-like fourth generation leptons, Phys. Lett. B 720 (2013) 130 [arXiv:1211.0435] [INSPIRE].
S.S.C. Law, Constraints on exotic lepton doublets with minimal coupling to the standard model, JHEP 02 (2012) 127 [arXiv:1106.0375] [INSPIRE].
M. Aoki, S. Kanemura and K. Yagyu, Doubly-charged scalar bosons from the doublet, Phys. Lett. B 702 (2011) 355 [Erratum ibid. B 706 (2012) 495] [arXiv:1105.2075] [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].
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].
E.M. Dolle and S. Su, The inert dark matter, Phys. Rev. D 80 (2009) 055012 [arXiv:0906.1609] [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. Goudelis, B. Herrmann and O. Stal, Dark matter in the inert doublet model after the discovery of a Higgs-like boson at the LHC, arXiv:1303.3010 [INSPIRE].
M. Klasen, C.E. Yaguna and J.D. Ruiz-Alvarez, Electroweak corrections to the direct detection cross section of inert Higgs dark matter, Phys. Rev. D 87 (2013) 075025 [arXiv:1302.1657] [INSPIRE].
M. Klasen, C.E. Yaguna, J.D. Ruiz-Alvarez, D. Restrepo and O. Zapata, Scalar dark matter and fermion coannihilations in the radiative seesaw model, JCAP 04 (2013) 044 [arXiv:1302.5298] [INSPIRE].
P. Fileviez Perez, H.H. Patel, M.J. Ramsey-Musolf and K. Wang, Triplet scalars and dark matter at the LHC, Phys. Rev. D 79 (2009) 055024 [arXiv:0811.3957] [INSPIRE].
T. Hambye, F.-S. Ling, L. Lopez Honorez and J. Rocher, Scalar multiplet dark matter, JHEP 07 (2009) 090 [Erratum ibid. 05 (2010) 066] [arXiv:0903.4010] [INSPIRE].
T. Araki, C.Q. Geng and K.I. Nagao, Dark matter in inert triplet models, Phys. Rev. D 83 (2011) 075014 [arXiv:1102.4906] [INSPIRE].
T. Araki, C.Q. Geng and K.I. Nagao, Signatures of dark matter in inert triplet models, Int. J. Mod. Phys. D 20 (2011) 1433 [arXiv:1108.2753] [INSPIRE].
R. Foot, A. Kobakhidze, K.L. McDonald and R.R. Volkas, Neutrino mass in radiatively-broken scale-invariant models, Phys. Rev. D 76 (2007) 075014 [arXiv:0706.1829] [INSPIRE].
R. Foot, A. Kobakhidze, K.L. McDonald and R.R. Volkas, A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory, Phys. Rev. D 77 (2008) 035006 [arXiv:0709.2750] [INSPIRE].
Y. Kajiyama, H. Okada and K. Yagyu, Two loop radiative seesaw model with inert triplet scalar field, Nucl. Phys. B 874 (2013) 198 [arXiv:1303.3463] [INSPIRE].
S. Kanemura and H. Sugiyama, Dark matter and a suppression mechanism for neutrino masses in the Higgs triplet model, Phys. Rev. D 86 (2012) 073006 [arXiv:1202.5231] [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].
K. Kumerički, I. Picek and B. Radovčić, TeV-scale seesaw with quintuplet fermions, Phys. Rev. D 86 (2012) 013006 [arXiv:1204.6599] [INSPIRE].
I. Picek and B. Radovčić, Enhancement of h → γγ by seesaw-motivated exotic scalars, Phys. Lett. B 719 (2013) 404 [arXiv:1210.6449] [INSPIRE].
Y. Liao, Cascade seesaw for tiny neutrino mass, JHEP 06 (2011) 098 [arXiv:1011.3633] [INSPIRE].
M. Cirelli and A. Strumia, Minimal dark matter: model and results, New J. Phys. 11 (2009) 105005 [arXiv:0903.3381] [INSPIRE].
W. Konetschny and W. Kummer, Nonconservation of total lepton number with scalar bosons, Phys. Lett. B 70 (1977) 433 [INSPIRE].
T.P. Cheng and L.-F. Li, Neutrino masses, mixings and oscillations in SU(2) × U(1) models of electroweak interactions, Phys. Rev. D 22 (1980) 2860 [INSPIRE].
M. Magg and C. Wetterich, Neutrino mass problem and gauge hierarchy, Phys. Lett. B 94 (1980) 61 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
G. Lazarides, Q. Shafi and C. Wetterich, Proton lifetime and fermion masses in an SO(10) model, Nucl. Phys. B 181 (1981) 287 [INSPIRE].
C. Wetterich, Neutrino masses and the scale of B-L violation, Nucl. Phys. B 187 (1981) 343 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino masses and mixings in gauge models with spontaneous parity violation, Phys. Rev. D 23 (1981) 165 [INSPIRE].
S.S.C. Law and K.L. McDonald, The simplest models of radiative neutrino mass: excluding simplified Zee models and beyond, arXiv:1303.6384 [INSPIRE].
X.-G. He, Is the Zee model neutrino mass matrix ruled out?, Eur. Phys. J. C 34 (2004) 371 [hep-ph/0307172] [INSPIRE].
K.S. Babu, S. Nandi and Z. Tavartkiladze, New mechanism for neutrino mass generation and triply charged Higgs bosons at the LHC, Phys. Rev. D 80 (2009) 071702 [arXiv:0905.2710] [INSPIRE].
I. Picek and B. Radovčić, Novel TeV-scale seesaw mechanism with Dirac mediators, Phys. Lett. B 687 (2010) 338 [arXiv:0911.1374] [INSPIRE].
K. Kumerički, I. Picek and B. Radovčić, Exotic seesaw-motivated heavy leptons at the LHC, Phys. Rev. D 84 (2011) 093002 [arXiv:1106.1069] [INSPIRE].
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Law, S.S.C., McDonald, K.L. A class of inert N-tuplet models with radiative neutrino mass and dark matter. J. High Energ. Phys. 2013, 92 (2013). https://doi.org/10.1007/JHEP09(2013)092
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DOI: https://doi.org/10.1007/JHEP09(2013)092