Abstract
We study the dark matter phenomenology of scotogenic frameworks through a rather illustrative model extending the Standard Model by scalar and fermionic singlets and doublets. Such a setup is phenomenologically attractive since it provides the radiative generation of neutrino masses, while also including viable candidates for cold dark matter. We employ a Markov Chain Monte Carlo algorithm to explore the associated parameter space in view of numerous constraints stemming from the Higgs mass, the neutrino sector, dark matter, and lepton-flavour violating processes. After a general discussion of the results, we focus on the case of fermionic dark matter, which remains rather uncovered in the literature so far. We discuss the associated phenomenology and show that in this particular case a rather specific mass spectrum is expected with fermion masses just above 1 TeV. Our study may serve as a guideline for future collider studies.
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Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
KamLAND collaboration, First results from KamLAND: Evidence for reactor anti-neutrino disappearance, Phys. Rev. Lett. 90 (2003) 021802 [hep-ex/0212021] [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal Symmetry and Masses of Neutrinos, Prog. Theor. Phys. 64 (1980) 1103 [INSPIRE].
R. N. Mohapatra, Mechanism for Understanding Small Neutrino Mass in Superstring Theories, Phys. Rev. Lett. 56 (1986) 561 [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
T. Toma and A. Vicente, Lepton Flavor Violation in the Scotogenic Model, JHEP 01 (2014) 160 [arXiv:1312.2840] [INSPIRE].
A. Vicente and C. E. Yaguna, Probing the scotogenic model with lepton flavor violating processes, JHEP 02 (2015) 144 [arXiv:1412.2545] [INSPIRE].
S. Fraser, E. Ma and O. Popov, Scotogenic Inverse Seesaw Model of Neutrino Mass, Phys. Lett. B 737 (2014) 280 [arXiv:1408.4785] [INSPIRE].
S. Baumholzer, V. Brdar, P. Schwaller and A. Segner, Shining Light on the Scotogenic Model: Interplay of Colliders and Cosmology, JHEP 09 (2020) 136 [arXiv:1912.08215] [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].
E. Molinaro, C. E. Yaguna and O. Zapata, FIMP realization of the scotogenic model, JCAP 07 (2014) 015 [arXiv:1405.1259] [INSPIRE].
M. Lindner, M. Platscher, C. E. Yaguna and A. Merle, Fermionic WIMPs and vacuum stability in the scotogenic model, Phys. Rev. D 94 (2016) 115027 [arXiv:1608.00577] [INSPIRE].
P. Rocha-Moran and A. Vicente, Lepton Flavor Violation in the singlet-triplet scotogenic model, JHEP 07 (2016) 078 [arXiv:1605.01915] [INSPIRE].
A. Ahriche, A. Jueid and S. Nasri, Radiative neutrino mass and Majorana dark matter within an inert Higgs doublet model, Phys. Rev. D 97 (2018) 095012 [arXiv:1710.03824] [INSPIRE].
S. Bhattacharya, N. Sahoo and N. Sahu, Singlet-Doublet Fermionic Dark Matter, Neutrino Mass and Collider Signatures, Phys. Rev. D 96 (2017) 035010 [arXiv:1704.03417] [INSPIRE].
S. Bhattacharya, P. Ghosh, N. Sahoo and N. Sahu, Mini Review on Vector-Like Leptonic Dark Matter, Neutrino Mass, and Collider Signatures, Front. Phys. 7 (2019) 80 [arXiv:1812.06505] [INSPIRE].
A. Ahriche, A. Arhrib, A. Jueid, S. Nasri and A. de La Puente, Mono-Higgs Signature in the Scotogenic Model with Majorana Dark Matter, Phys. Rev. D 101 (2020) 035038 [arXiv:1811.00490] [INSPIRE].
P. Konar, A. Mukherjee, A. K. Saha and S. Show, Linking pseudo-Dirac dark matter to radiative neutrino masses in a singlet-doublet scenario, Phys. Rev. D 102 (2020) 015024 [arXiv:2001.11325] [INSPIRE].
P. Escribano, M. Reig and A. Vicente, Generalizing the Scotogenic model, JHEP 07 (2020) 097 [arXiv:2004.05172] [INSPIRE].
V. De Romeri, M. Puerta and A. Vicente, Dark matter in a charged variant of the Scotogenic model, arXiv:2106.00481 [INSPIRE].
D. Restrepo, O. Zapata and C. E. Yaguna, Models with radiative neutrino masses and viable dark matter candidates, JHEP 11 (2013) 011 [arXiv:1308.3655] [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
T. Cohen, J. Kearney, A. Pierce and D. Tucker-Smith, Singlet-Doublet Dark Matter, Phys. Rev. D 85 (2012) 075003 [arXiv:1109.2604] [INSPIRE].
C. Cheung and D. Sanford, Simplified Models of Mixed Dark Matter, JCAP 02 (2014) 011 [arXiv:1311.5896] [INSPIRE].
A. Dutta Banik and D. Majumdar, Inert doublet dark matter with an additional scalar singlet and 125 GeV Higgs boson, Eur. Phys. J. C 74 (2014) 3142 [arXiv:1404.5840] [INSPIRE].
L. G. Cabral-Rosetti, R. Gaitán, J. H. Montes de Oca, R. Osorio Galicia and E. A. Garcés, Scalar dark matter in inert doublet model with scalar singlet, J. Phys. Conf. Ser. 912 (2017) 012047 [INSPIRE].
L. Calibbi, A. Mariotti and P. Tziveloglou, Singlet-Doublet Model: Dark matter searches and LHC constraints, JHEP 10 (2015) 116 [arXiv:1505.03867] [INSPIRE].
S. Bhattacharya, N. Sahoo and N. Sahu, Minimal vectorlike leptonic dark matter and signatures at the LHC, Phys. Rev. D 93 (2016) 115040 [arXiv:1510.02760] [INSPIRE].
S. Banerjee, S. Matsumoto, K. Mukaida and Y.-L. S. Tsai, WIMP Dark Matter in a Well-Tempered Regime: A case study on Singlet-Doublets Fermionic WIMP, JHEP 11 (2016) 070 [arXiv:1603.07387] [INSPIRE].
T. Abe, Effect of CP-violation in the singlet-doublet dark matter model, Phys. Lett. B 771 (2017) 125 [arXiv:1702.07236] [INSPIRE].
S. Esch, M. Klasen and C. E. Yaguna, A singlet doublet dark matter model with radiative neutrino masses, JHEP 10 (2018) 055 [arXiv:1804.03384] [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].
L. Lopez Honorez and C. E. Yaguna, The inert doublet model of dark matter revisited, JHEP 09 (2010) 046 [arXiv:1003.3125] [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].
A. Goudelis, B. Herrmann and O. Stål, Dark matter in the Inert Doublet Model after the discovery of a Higgs-like boson at the LHC, JHEP 09 (2013) 106 [arXiv:1303.3010] [INSPIRE].
S. Esch, M. Klasen and C. E. Yaguna, A minimal model for two-component dark matter, JHEP 09 (2014) 108 [arXiv:1406.0617] [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].
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].
B. Pontecorvo, Inverse beta processes and nonconservation of lepton charge, Zh. Eksp. Teor. Fiz. 34 (1957) 247 [INSPIRE].
Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [INSPIRE].
I. Esteban, M. C. Gonzalez-Garcia, A. Hernandez-Cabezudo, M. Maltoni and T. Schwetz, Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of θ23, δCP, and the mass ordering, JHEP 01 (2019) 106 [arXiv:1811.05487] [INSPIRE].
Nu-FIT 4.1, Three-neutrino fit based on data available in July 2019, (2019) http://www.nu-fit.org/.
I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, T. Schwetz and A. Zhou, The fate of hints: updated global analysis of three-flavor neutrino oscillations, JHEP 09 (2020) 178 [arXiv:2007.14792] [INSPIRE].
J. A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
A. A. Markov, Extension of the limit theorems of probability theory to a sum of variables connected in a chain, in Dynamic Probabilistic Systems. Volume 1: Markov Chains, John Wiley and Sons (1971), appendix B.
N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller and E. Teller, Equation of state calculations by fast computing machines, J. Chem. Phys. 21 (1953) 1087 [INSPIRE].
W. K. Hastings, Monte Carlo Sampling Methods Using Markov Chains and Their Applications, Biometrika 57 (1970) 97.
R. Trotta, Bayes in the sky: Bayesian inference and model selection in cosmology, Contemp. Phys. 49 (2008) 71 [arXiv:0803.4089] [INSPIRE].
S. Sharma, Markov Chain Monte Carlo Methods for Bayesian Data Analysis in Astronomy, Ann. Rev. Astron. Astrophys. 55 (2017) 213 [arXiv:1706.01629] [INSPIRE].
H. Baer, S. Kraml, S. Sekmen and H. Summy, Dark matter allowed scenarios for Yukawa-unified SO(10) SUSY GUTs, JHEP 03 (2008) 056 [arXiv:0801.1831] [INSPIRE].
K. De Causmaecker et al., General squark flavour mixing: constraints, phenomenology and benchmarks, JHEP 11 (2015) 125 [arXiv:1509.05414] [INSPIRE].
M. Mangin-Brinet and Y. G. Gbedo, Markov Chain Monte Carlo techniques applied to Parton Distribution Functions determination: proof of concept, PoS DIS2017 (2018) 213 [INSPIRE].
Particle Data collaboration, Review of Particle Physics, Prog. Theor. Exp. Phys. 2020 (2020) 083C01 [INSPIRE].
Planck collaboration, Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
XENON collaboration, Projected WIMP sensitivity of the XENONnT dark matter experiment, JCAP 11 (2020) 031 [arXiv:2007.08796] [INSPIRE].
ATLAS and CMS collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s} \) = 7 and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs: A Program for calculating the relic density in the MSSM, Comput. Phys. Commun. 149 (2002) 103 [hep-ph/0112278] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs: Version 1.3, Comput. Phys. Commun. 174 (2006) 577 [hep-ph/0405253] [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].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs 2.0.7: A program to calculate the relic density of dark matter in a generic model, Comput. Phys. Commun. 177 (2007) 894 [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs_3: A program for calculating dark matter observables, Comput. Phys. Commun. 185 (2014) 960 [arXiv:1305.0237] [INSPIRE].
G. Bélanger, F. Boudjema, A. Goudelis, A. Pukhov and B. Zaldivar, MicrOMEGAs5.0: Freeze-in, Comput. Phys. Commun. 231 (2018) 173 [arXiv:1801.03509] [INSPIRE].
A. Belyaev, N. D. Christensen and A. Pukhov, CalcHEP 3.4 for collider physics within and beyond the Standard Model, Comput. Phys. Commun. 184 (2013) 1729 [arXiv:1207.6082] [INSPIRE].
P. Z. Skands et al., SUSY Les Houches accord: Interfacing SUSY spectrum calculators, decay packages, and event generators, JHEP 07 (2004) 036 [hep-ph/0311123] [INSPIRE].
B. C. Allanach et al., SUSY Les Houches Accord 2, Comput. Phys. Commun. 180 (2009) 8 [arXiv:0801.0045] [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].
J. D. Hunter, Matplotlib: A 2D Graphics Environment, Comput. Sci. Eng. 9 (2007) 90 [INSPIRE].
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Sarazin, M., Bernigaud, J. & Herrmann, B. Dark matter and lepton flavour phenomenology in a singlet-doublet scotogenic model. J. High Energ. Phys. 2021, 116 (2021). https://doi.org/10.1007/JHEP12(2021)116
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DOI: https://doi.org/10.1007/JHEP12(2021)116