Abstract
We perform a complete analysis of the consistency of the singlet-triplet scotogenic model, where both dark matter and neutrino masses can be explained. We determine the parameter space that yields the proper thermal relic density been in agreement with neutrino physics, lepton flavor violation, direct and indirect dark matter searches. In particular, we calculate the dark matter annihilation into two photons, finding that the corresponding cross-section is below the present bounds reported by the Fermi-LAT and H.E.S.S. collaborations. We also determine the spin-dependent cross-section for dark matter elastic scattering with nucleons at one-loop level, finding that the next generation of experiments as LZ and DARWIN could test a small region of the parameter space of the model.
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References
F. Zwicky, On the Masses of Nebulae and of Clusters of Nebulae, Astrophys. J.86 (1937) 217 [INSPIRE].
V.C. Rubin and W.K. Ford Jr., Rotation of the Andromeda Nebula from a Spectroscopic Survey of Emission Regions, Astrophys. J.159 (1970) 379 [INSPIRE].
V.C. Rubin, N. Thonnard and W.K. Ford Jr., Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605 (R = 4 kpc) to UGC 2885 (R = 122 kpc), Astrophys. J.238 (1980) 471 [INSPIRE].
D. Clowe et al., A direct empirical proof of the existence of dark matter, Astrophys. J.648 (2006) L109 [astro-ph/0608407] [INSPIRE].
A. Refregier, Weak gravitational lensing by large scale structure, Ann. Rev. Astron. Astrophys.41 (2003) 645 [astro-ph/0307212] [INSPIRE].
J.A. Tyson, G.P. Kochanski and I.P. Dell’Antonio, Detailed mass map of CL0024+1654 from strong lensing, Astrophys. J.498 (1998) L107 [astro-ph/9801193] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209 [INSPIRE].
P.F. de Salas, D.V. Forero, C.A. Ternes, M. Tortola and J.W.F. Valle, Status of neutrino oscillations 2018: 3σ hint for normal mass ordering and improved CP sensitivity, Phys. Lett.B 782 (2018) 633 [arXiv:1708.01186] [INSPIRE].
M. Hirsch, R.A. Lineros, S. Morisi, J. Palacio, N. Rojas and J.W.F. Valle, WIMP dark matter as radiative neutrino mass messenger, JHEP10 (2013) 149 [arXiv:1307.8134] [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].
P. Rocha-Moran and A. Vicente, Lepton Flavor Violation in the singlet-triplet scotogenic model, JHEP07 (2016) 078 [arXiv:1605.01915] [INSPIRE].
M.A. Díaz, N. Rojas, S. Urrutia-Quiroga and J.W.F. Valle, Heavy Higgs Boson Production at Colliders in the Singlet-Triplet Scotogenic Dark Matter Model, JHEP08 (2017) 017 [arXiv:1612.06569] [INSPIRE].
A. Merle, M. Platscher, N. Rojas, J.W.F. Valle and A. Vicente, Consistency of WIMP Dark Matter as radiative neutrino mass messenger, JHEP07 (2016) 013 [arXiv:1603.05685] [INSPIRE].
XENON collaboration, Dark Matter Search Results from a One Ton-Year Exposure of XENON1T, Phys. Rev. Lett.121 (2018) 111302 [arXiv:1805.12562] [INSPIRE].
LUX-ZEPLIN collaboration, Projected WIMP sensitivity of the LUX-ZEPLIN dark matter experiment, Phys. Rev.D 101 (2020) 052002 [arXiv:1802.06039] [INSPIRE].
DARWIN collaboration, DARWIN: towards the ultimate dark matter detector, JCAP11 (2016) 017 [arXiv:1606.07001] [INSPIRE].
ATLAS collaboration, Search for electroweak production of supersymmetric particles in final states with two or three leptons at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J.C 78 (2018) 995 [arXiv:1803.02762] [INSPIRE].
Fermi-LAT collaboration, Updated search for spectral lines from Galactic dark matter interactions with pass 8 data from the Fermi Large Area Telescope, Phys. Rev.D 91 (2015) 122002 [arXiv:1506.00013] [INSPIRE].
HESS collaboration, Search for γ-Ray Line Signals from Dark Matter Annihilations in the Inner Galactic Halo from 10 Years of Observations with H.E.S.S., Phys. Rev. Lett.120 (2018) 201101 [arXiv:1805.05741] [INSPIRE].
K. Kannike, Vacuum Stability Conditions From Copositivity Criteria, Eur. Phys. J.C 72 (2012) 2093 [arXiv:1205.3781] [INSPIRE].
Particle Data Group, Review of Particle Physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
N.G. Deshpande and E. Ma, Pattern of Symmetry Breaking with Two Higgs Doublets, Phys. Rev.D 18 (1978) 2574 [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, JCAP02 (2007) 028 [hep-ph/0612275] [INSPIRE].
L. Lopez Honorez and C.E. Yaguna, The inert doublet model of dark matter revisited, JHEP09 (2010) 046 [arXiv:1003.3125] [INSPIRE].
C. Garcia-Cely, M. Gustafsson and A. Ibarra, Probing the Inert Doublet Dark Matter Model with Cherenkov Telescopes, JCAP02 (2016) 043 [arXiv:1512.02801] [INSPIRE].
F.S. Queiroz and C.E. Yaguna, The CTA aims at the Inert Doublet Model, JCAP02 (2016) 038 [arXiv:1511.05967] [INSPIRE].
M. Cirelli, N. Fornengo and A. Strumia, Minimal dark matter, Nucl. Phys.B 753 (2006) 178 [hep-ph/0512090] [INSPIRE].
S. Choubey, S. Khan, M. Mitra and S. Mondal, Singlet-Triplet Fermionic Dark Matter and LHC Phenomenology, Eur. Phys. J.C 78 (2018) 302 [arXiv:1711.08888] [INSPIRE].
A. Ibarra, C.E. Yaguna and O. Zapata, Direct Detection of Fermion Dark Matter in the Radiative Seesaw Model, Phys. Rev.D 93 (2016) 035012 [arXiv:1601.01163] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys.B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
A. Ibarra and G.G. Ross, Neutrino phenomenology: The Case of two right-handed neutrinos, Phys. Lett.B 591 (2004) 285 [hep-ph/0312138] [INSPIRE].
ALEPH, DELPHI, L3, OPAL, SLD collaborations, LEP Electroweak Working Group, SLD Electroweak Group and SLD Heavy Flavour Group, Precision electroweak measurements on the Z resonance, Phys. Rept.427 (2006) 257 [hep-ex/0509008] [INSPIRE].
D.V. Forero, M. Tortola and J.W.F. Valle, Neutrino oscillations refitted, Phys. Rev.D 90 (2014) 093006 [arXiv:1405.7540] [INSPIRE].
F. Staub, SARAH, arXiv:0806.0538 [INSPIRE].
F. Staub, From Superpotential to Model Files for FeynArts and CalcHep/CompHEP, Comput. Phys. Commun.181 (2010) 1077 [arXiv:0909.2863] [INSPIRE].
F. Staub, Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies, Comput. Phys. Commun.182 (2011) 808 [arXiv:1002.0840] [INSPIRE].
F. Staub, SARAH 3.2: Dirac Gauginos, UFO output and more, Comput. Phys. Commun.184 (2013) 1792 [arXiv:1207.0906] [INSPIRE].
F. Staub, SARAH 4: A tool for (not only SUSY) model builders, Comput. Phys. Commun.185 (2014) 1773 [arXiv:1309.7223] [INSPIRE].
W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e+e−colliders, Comput. Phys. Commun.153 (2003) 275 [hep-ph/0301101] [INSPIRE].
W. Porod and F. Staub, SPheno 3.1: Extensions including flavour, CP-phases and models beyond the MSSM, Comput. Phys. Commun.183 (2012) 2458 [arXiv:1104.1573] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs 2.0: A Program to calculate the relic density of dark matter in a generic model, Comput. Phys. Commun.176 (2007) 367 [hep-ph/0607059] [INSPIRE].
K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev.D 43 (1991) 3191 [INSPIRE].
PandaX-II collaboration, Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment, Phys. Rev. Lett.119 (2017) 181302 [arXiv:1708.06917] [INSPIRE].
P. Cushman et al., Working Group Report: WIMP Dark Matter Direct Detection, in proceedings of 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on the Mississippi (CSS2013), Minneapolis, MN, U.S.A., 29 July–6 August 2013, [arXiv:1310.8327] [INSPIRE].
J. Billard, L. Strigari and E. Figueroa-Feliciano, Implication of neutrino backgrounds on the reach of next generation dark matter direct detection experiments, Phys. Rev.D 89 (2014) 023524 [arXiv:1307.5458] [INSPIRE].
Fermi-LAT collaboration, Searching for Dark Matter Annihilation from Milky Way Dwarf Spheroidal Galaxies with Six Years of Fermi Large Area Telescope Data, Phys. Rev. Lett.115 (2015) 231301 [arXiv:1503.02641] [INSPIRE].
A. Mohamadnejad, Gravitational waves from scale-invariant vector dark matter model: Probing below the neutrino-floor, Eur. Phys. J.C 80 (2020) 197 [arXiv:1907.08899] [INSPIRE].
MEG collaboration, New constraint on the existence of the μ+→ e+γ decay, Phys. Rev. Lett.110 (2013) 201801 [arXiv:1303.0754] [INSPIRE].
SINDRUM collaboration, Search for the Decay μ+→ e+e+e− , Nucl. Phys.B 260 (1985) 1 [INSPIRE].
W. Porod, F. Staub and A. Vicente, A Flavor Kit for BSM models, Eur. Phys. J.C 74 (2014) 2992 [arXiv:1405.1434] [INSPIRE].
Mu2e collaboration, Proposal to search for μ−N → e−N with a single event sensitivity below 10−16, FERMILAB-PROPOSAL-0973 (2008) [https://doi.org/10.2172/952028] [INSPIRE].
Mu2e collaboration, The Mu2e Experiment at Fermilab, AIP Conf. Proc.1222 (2010) 383 [INSPIRE].
Mu2e collaboration, Mu2e Conceptual Design Report, arXiv:1211.7019 [INSPIRE].
COMET collaboration, Conceptual design report for experimental search for lepton flavor violating μ−-e−conversion at sensitivity of 10−16with a slow-extracted bunched proton beam (COMET), KEK-2009-10 (2009) [INSPIRE].
COMET collaboration, A search for muon-to-electron conversion at J-PARC: The COMET experiment, Prog. Theor. Exp. Phys.2013 (2013) 022C01 [INSPIRE].
R.J. Barlow, The PRISM/PRIME project, Nucl. Phys. Proc. Suppl.218 (2011) 44 [INSPIRE].
DeeMe collaboration, A new idea for an experimental search for μ-e conversion, PoS(ICHEP2010)279 (2010) [INSPIRE].
DeeMe collaboration, DeeMe experiment — An experimental search for a mu-e conversion reaction at J-PARC MLF, Nucl. Phys. Proc. Suppl.248–250 (2014) 52 [INSPIRE].
SINDRUM II collaboration, A Search for muon to electron conversion in muonic gold, Eur. Phys. J.C 47 (2006) 337 [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun.140 (2001) 418 [hep-ph/0012260] [INSPIRE].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept.267 (1996) 195 [hep-ph/9506380] [INSPIRE].
HERMES collaboration, Precise determination of the spin structure function g1of the proton, deuteron and neutron, Phys. Rev.D 75 (2007) 012007 [hep-ex/0609039] [INSPIRE].
IceCube collaboration, Search for dark matter annihilations in the Sun with the 79-string IceCube detector, Phys. Rev. Lett.110 (2013) 131302 [arXiv:1212.4097] [INSPIRE].
LUX collaboration, Results on the Spin-Dependent Scattering of Weakly Interacting Massive Particles on Nucleons from the Run 3 Data of the LUX Experiment, Phys. Rev. Lett.116 (2016) 161302 [arXiv:1602.03489] [INSPIRE].
XENON collaboration, Constraining the spin-dependent WIMP-nucleon cross sections with XENON1T, Phys. Rev. Lett.122 (2019) 141301 [arXiv:1902.03234] [INSPIRE].
G. Bertone, D. Hooper and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rept.405 (2005) 279 [hep-ph/0404175] [INSPIRE].
C. Garcia-Cely and A. Rivera, General calculation of the cross section for dark matter annihilations into two photons, JCAP03 (2017) 054 [arXiv:1611.08029] [INSPIRE].
G. Passarino and M.J.G. Veltman, One Loop Corrections for e+e−Annihilation Into μ+μ−in the Weinberg Model, Nucl. Phys.B 160 (1979) 151 [INSPIRE].
H.H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun.197 (2015) 276 [arXiv:1503.01469] [INSPIRE].
M. Garny, A. Ibarra and S. Vogl, Signatures of Majorana dark matter with t-channel mediators, Int. J. Mod. Phys.D 24 (2015) 1530019 [arXiv:1503.01500] [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].
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Restrepo, D., Rivera, A. Phenomenological consistency of the singlet-triplet scotogenic model. J. High Energ. Phys. 2020, 134 (2020). https://doi.org/10.1007/JHEP04(2020)134
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DOI: https://doi.org/10.1007/JHEP04(2020)134