Abstract
We propose a scotogenic model for generating neutrino masses through a three-loop seesaw. It is a minimally extended inert doublet model with a spontaneously broken global symmetry U(1)′ and a preserved ℤ2 symmetry. The three-loop suppression allows the new particles to have masses at the TeV scale without fine-tuning the Yukawa couplings. The model leads to a rich phenomenology while satisfying all the current constraints imposed by neutrinoless double-beta decay, charged-lepton flavor violation, and electroweak precision observables. The relatively large Yukawa couplings lead to sizable rates for charged lepton flavor violation processes, well within future experimental reach. The model could also successfully explain the W mass anomaly and provides viable fermionic or scalar dark matter candidates.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Y. Cai, J. Herrero-García, M.A. Schmidt, A. Vicente and R.R. Volkas, From the trees to the forest: a review of radiative neutrino mass models, Front. in Phys. 5 (2017) 63 [arXiv:1706.08524] [INSPIRE].
C. Arbeláez, R. Cepedello, J.C. Helo, M. Hirsch and S. Kovalenko, How many 1-loop neutrino mass models are there?, JHEP 08 (2022) 023 [arXiv:2205.13063] [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].
M. Aoki, S. Kanemura and O. Seto, Neutrino mass, Dark Matter and Baryon Asymmetry via TeV-Scale Physics without Fine-Tuning, Phys. Rev. Lett. 102 (2009) 051805 [arXiv:0807.0361] [INSPIRE].
Y. Kajiyama, H. Okada and K. Yagyu, T7 Flavor Model in Three Loop Seesaw and Higgs Phenomenology, JHEP 10 (2013) 196 [arXiv:1307.0480] [INSPIRE].
A. Ahriche, C.-S. Chen, K.L. McDonald and S. Nasri, Three-loop model of neutrino mass with dark matter, Phys. Rev. D 90 (2014) 015024 [arXiv:1404.2696] [INSPIRE].
A. Ahriche, K.L. McDonald and S. Nasri, A Model of Radiative Neutrino Mass: with or without Dark Matter, JHEP 10 (2014) 167 [arXiv:1404.5917] [INSPIRE].
H. Hatanaka, K. Nishiwaki, H. Okada and Y. Orikasa, A Three-Loop Neutrino Model with Global U(1) Symmetry, Nucl. Phys. B 894 (2015) 268 [arXiv:1412.8664] [INSPIRE].
C.-S. Chen, K.L. McDonald and S. Nasri, A Class of Three-Loop Models with Neutrino Mass and Dark Matter, Phys. Lett. B 734 (2014) 388 [arXiv:1404.6033] [INSPIRE].
L.-G. Jin, R. Tang and F. Zhang, A three-loop radiative neutrino mass model with dark matter, Phys. Lett. B 741 (2015) 163 [arXiv:1501.02020] [INSPIRE].
H. Okada and K. Yagyu, Three-loop neutrino mass model with doubly charged particles from isodoublets, Phys. Rev. D 93 (2016) 013004 [arXiv:1508.01046] [INSPIRE].
K. Nishiwaki, H. Okada and Y. Orikasa, Three loop neutrino model with isolated k±±, Phys. Rev. D 92 (2015) 093013 [arXiv:1507.02412] [INSPIRE].
A. Ahriche, K.L. McDonald, S. Nasri and T. Toma, A Model of Neutrino Mass and Dark Matter with an Accidental Symmetry, Phys. Lett. B 746 (2015) 430 [arXiv:1504.05755] [INSPIRE].
A.E. Cárcamo Hernández, A novel and economical explanation for SM fermion masses and mixings, Eur. Phys. J. C 76 (2016) 503 [arXiv:1512.09092] [INSPIRE].
P.-H. Gu, High-scale leptogenesis with three-loop neutrino mass generation and dark matter, JHEP 04 (2017) 159 [arXiv:1611.03256] [INSPIRE].
K. Cheung, T. Nomura and H. Okada, A Three-loop Neutrino Model with Leptoquark Triplet Scalars, Phys. Lett. B 768 (2017) 359 [arXiv:1701.01080] [INSPIRE].
B. Dutta, S. Ghosh, I. Gogoladze and T. Li, Three-loop neutrino masses via new massive gauge bosons from E6 GUT, Phys. Rev. D 98 (2018) 055028 [arXiv:1805.01866] [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko, R. Pasechnik and I. Schmidt, Sequentially loop-generated quark and lepton mass hierarchies in an extended Inert Higgs Doublet model, JHEP 06 (2019) 056 [arXiv:1901.02764] [INSPIRE].
R. Cepedello, M. Hirsch, P. Rocha-Morán and A. Vicente, Minimal 3-loop neutrino mass models and charged lepton flavor violation, JHEP 08 (2020) 067 [arXiv:2005.00015] [INSPIRE].
A.E.C. Hernández, S. Kovalenko, M. Maniatis and I. Schmidt, Fermion mass hierarchy and g − 2 anomalies in an extended 3HDM Model, JHEP 10 (2021) 036 [arXiv:2104.07047] [INSPIRE].
N.G. Deshpande and E. Ma, Pattern of Symmetry Breaking with Two Higgs Doublets, Phys. Rev. D 18 (1978) 2574 [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [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].
A. Belyaev, G. Cacciapaglia, I.P. Ivanov, F. Rojas-Abatte and M. Thomas, Anatomy of the Inert Two Higgs Doublet Model in the light of the LHC and non-LHC Dark Matter Searches, Phys. Rev. D 97 (2018) 035011 [arXiv:1612.00511] [INSPIRE].
J. Kubo, E. Ma and D. Suematsu, Cold Dark Matter, Radiative Neutrino Mass, μ → eγ, and Neutrinoless Double Beta Decay, Phys. Lett. B 642 (2006) 18 [hep-ph/0604114] [INSPIRE].
D. Suematsu, T. Toma and T. Yoshida, Reconciliation of CDM abundance and μ → eγ in a radiative seesaw model, Phys. Rev. D 79 (2009) 093004 [arXiv:0903.0287] [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].
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].
I. Cordero-Carrión, M. Hirsch and A. Vicente, General parametrization of Majorana neutrino mass models, Phys. Rev. D 101 (2020) 075032 [arXiv:1912.08858] [INSPIRE].
D. Restrepo and A. Rivera, Phenomenological consistency of the singlet-triplet scotogenic model, JHEP 04 (2020) 134 [arXiv:1907.11938] [INSPIRE].
KamLAND-Zen collaboration, Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen, Phys. Rev. Lett. 117 (2016) 082503 [arXiv:1605.02889] [INSPIRE].
EXO-200 collaboration, The search for neutrino-less double-beta decay: summary of current experiments, in 14th ICATPP Conference on Astroparticle, Particle, Space Physics and Detectors for Physics Applications, Como Italy, September 23–27 2013, pp. 304–314 [DOI] [arXiv:1402.1170] [INSPIRE].
LEGEND collaboration, The Large Enriched Germanium Experiment for Neutrinoless Double Beta Decay (LEGEND), AIP Conf. Proc. 1894 (2017) 020027 [arXiv:1709.01980] [INSPIRE].
CUPID-0 collaboration, First Result on the Neutrinoless Double-β Decay of 82Se with CUPID-0, Phys. Rev. Lett. 120 (2018) 232502 [arXiv:1802.07791] [INSPIRE].
NEXT collaboration, Present status and future perspectives of the NEXT experiment, Adv. High Energy Phys. 2014 (2014) 907067 [arXiv:1307.3914] [INSPIRE].
G. Altarelli and R. Barbieri, Vacuum polarization effects of new physics on electroweak processes, Phys. Lett. B 253 (1991) 161 [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
R. Barbieri, A. Pomarol, R. Rattazzi and A. Strumia, Electroweak symmetry breaking after LEP-1 and LEP-2, Nucl. Phys. B 703 (2004) 127 [hep-ph/0405040] [INSPIRE].
CDF collaboration, High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170 [INSPIRE].
A.E. Cárcamo Hernández, S. Kovalenko and I. Schmidt, Precision measurements constraints on the number of Higgs doublets, Phys. Rev. D 91 (2015) 095014 [arXiv:1503.03026] [INSPIRE].
C.-T. Lu, L. Wu, Y. Wu and B. Zhu, Electroweak precision fit and new physics in light of the W boson mass, Phys. Rev. D 106 (2022) 035034 [arXiv:2204.03796] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2020 (2020) 083C01 [INSPIRE].
E. Ma and M. Raidal, Neutrino mass, muon anomalous magnetic moment, and lepton flavor nonconservation, Phys. Rev. Lett. 87 (2001) 011802 [hep-ph/0102255] [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].
M. Lindner, M. Platscher and F.S. Queiroz, A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation, Phys. Rept. 731 (2018) 1 [arXiv:1610.06587] [INSPIRE].
MEG collaboration, Search for the lepton flavour violating decay μ+ → e+γ with the full dataset of the MEG experiment, Eur. Phys. J. C 76 (2016) 434 [arXiv:1605.05081] [INSPIRE].
SINDRUM collaboration, Search for the Decay μ+ → e+e+e−, Nucl. Phys. B 299 (1988) 1 [INSPIRE].
E. Arganda, M.J. Herrero and A.M. Teixeira, mu-e conversion in nuclei within the CMSSM seesaw: Universality versus non-universality, JHEP 10 (2007) 104 [arXiv:0707.2955] [INSPIRE].
R.H. Bernstein and P.S. Cooper, Charged Lepton Flavor Violation: An Experimenter’s Guide, Phys. Rept. 532 (2013) 27 [arXiv:1307.5787] [INSPIRE].
Muon g-2 collaboration, Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm, Phys. Rev. Lett. 126 (2021) 141801 [arXiv:2104.03281] [INSPIRE].
Muon g-2 collaboration, Magnetic-field measurement and analysis for the Muon g − 2 Experiment at Fermilab, Phys. Rev. A 103 (2021) 042208 [arXiv:2104.03201] [INSPIRE].
Muon g-2 collaboration, Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g − 2 Experiment, Phys. Rev. D 103 (2021) 072002 [arXiv:2104.03247] [INSPIRE].
T. Aoyama et al., The anomalous magnetic moment of the muon in the Standard Model, Phys. Rept. 887 (2020) 1 [arXiv:2006.04822] [INSPIRE].
A.P. Morais, A. Onofre, F.F. Freitas, J.a. Gonçalves, R. Pasechnik and R. Santos, Deep Learning Searches for Vector-Like Leptons at the LHC and Electron/Muon Colliders, arXiv:2108.03926 [INSPIRE].
E.K. Akhmedov, Z.G. Berezhiani, R.N. Mohapatra and G. Senjanovic, Planck scale effects on the majoron, Phys. Lett. B 299 (1993) 90 [hep-ph/9209285] [INSPIRE].
I.Z. Rothstein, K.S. Babu and D. Seckel, Planck scale symmetry breaking and majoron physics, Nucl. Phys. B 403 (1993) 725 [hep-ph/9301213] [INSPIRE].
M. Lattanzi and J.W.F. Valle, Decaying warm dark matter and neutrino masses, Phys. Rev. Lett. 99 (2007) 121301 [arXiv:0705.2406] [INSPIRE].
G. ’t Hooft, Symmetry Breaking Through Bell-Jackiw Anomalies, Phys. Rev. Lett. 37 (1976) 8 [INSPIRE].
G. Lazarides, M. Reig, Q. Shafi, R. Srivastava and J.W.F. Valle, Spontaneous Breaking of Lepton Number and the Cosmological Domain Wall Problem, Phys. Rev. Lett. 122 (2019) 151301 [arXiv:1806.11198] [INSPIRE].
G. Lazarides and Q. Shafi, Axion Models with No Domain Wall Problem, Phys. Lett. B 115 (1982) 21 [INSPIRE].
T. Hambye, Leptogenesis at the TeV scale, Nucl. Phys. B 633 (2002) 171 [hep-ph/0111089] [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].
D. Borah, P.S.B. Dev and A. Kumar, TeV scale leptogenesis, inflaton dark matter and neutrino mass in a scotogenic model, Phys. Rev. D 99 (2019) 055012 [arXiv:1810.03645] [INSPIRE].
O. Seto, T. Shindou and T. Tsuyuki, Low-scale leptogenesis and dark matter in a three-loop radiative seesaw model, EPHOU-22-022 (2022) [arXiv:2211.10059] [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].
M. Aoki, S. Kanemura and O. Seto, A Model of TeV Scale Physics for Neutrino Mass, Dark Matter and Baryon Asymmetry and its Phenomenology, Phys. Rev. D 80 (2009) 033007 [arXiv:0904.3829] [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].
G. Cacciapaglia and M. Rosenlyst, Loop-generated neutrino masses in composite Higgs models, JHEP 09 (2021) 167 [arXiv:2010.01437] [INSPIRE].
M. Rosenlyst, Technically natural Higgs boson from Planck scale, Phys. Rev. D 106 (2022) 013002 [arXiv:2112.11588] [INSPIRE].
J. McDonald, Thermally generated gauge singlet scalars as selfinteracting dark matter, Phys. Rev. Lett. 88 (2002) 091304 [hep-ph/0106249] [INSPIRE].
K.-Y. Choi and L. Roszkowski, E-WIMPs, AIP Conf. Proc. 805 (2005) 30 [hep-ph/0511003] [INSPIRE].
A. Kusenko, Sterile neutrinos, dark matter, and the pulsar velocities in models with a Higgs singlet, Phys. Rev. Lett. 97 (2006) 241301 [hep-ph/0609081] [INSPIRE].
K. Petraki and A. Kusenko, Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector, Phys. Rev. D 77 (2008) 065014 [arXiv:0711.4646] [INSPIRE].
L.J. Hall, K. Jedamzik, J. March-Russell and S.M. West, Freeze-In Production of FIMP Dark Matter, JHEP 03 (2010) 080 [arXiv:0911.1120] [INSPIRE].
N. Bernal, M. Heikinheimo, T. Tenkanen, K. Tuominen and V. Vaskonen, The Dawn of FIMP Dark Matter: A Review of Models and Constraints, Int. J. Mod. Phys. A 32 (2017) 1730023 [arXiv:1706.07442] [INSPIRE].
N. Bernal and X. Chu, ℤ2 SIMP Dark Matter, JCAP 01 (2016) 006 [arXiv:1510.08527] [INSPIRE].
M. Heikinheimo, T. Tenkanen and K. Tuominen, WIMP miracle of the second kind, Phys. Rev. D 96 (2017) 023001 [arXiv:1704.05359] [INSPIRE].
N. Bernal, Boosting Freeze-in through Thermalization, JCAP 10 (2020) 006 [arXiv:2005.08988] [INSPIRE].
G. Arcadi, O. Lebedev, S. Pokorski and T. Toma, Real Scalar Dark Matter: Relativistic Treatment, JHEP 08 (2019) 050 [arXiv:1906.07659] [INSPIRE].
V. De Romeri, D. Karamitros, O. Lebedev and T. Toma, Neutrino dark matter and the Higgs portal: improved freeze-in analysis, JHEP 10 (2020) 137 [arXiv:2003.12606] [INSPIRE].
J. Herms, A. Ibarra and T. Toma, A new mechanism of sterile neutrino dark matter production, JCAP 06 (2018) 036 [arXiv:1802.02973] [INSPIRE].
R.S.L. Hansen and S. Vogl, Thermalizing sterile neutrino dark matter, Phys. Rev. Lett. 119 (2017) 251305 [arXiv:1706.02707] [INSPIRE].
N. Bernal, C. Cosme and T. Tenkanen, Phenomenology of Self-Interacting Dark Matter in a Matter-Dominated Universe, Eur. Phys. J. C 79 (2019) 99 [arXiv:1803.08064] [INSPIRE].
E. Hardy, Higgs portal dark matter in non-standard cosmological histories, JHEP 06 (2018) 043 [arXiv:1804.06783] [INSPIRE].
N. Bernal, C. Cosme, T. Tenkanen and V. Vaskonen, Scalar singlet dark matter in non-standard cosmologies, Eur. Phys. J. C 79 (2019) 30 [arXiv:1806.11122] [INSPIRE].
R. Allahverdi et al., The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe, Open J.Astrophys. 4 (2020) [arXiv:2006.16182] [INSPIRE].
M. Maniatis, A. von Manteuffel, O. Nachtmann and F. Nagel, Stability and symmetry breaking in the general two-Higgs-doublet model, Eur. Phys. J. C 48 (2006) 805 [hep-ph/0605184] [INSPIRE].
G. Bhattacharyya and D. Das, Scalar sector of two-Higgs-doublet models: A minireview, Pramana 87 (2016) 40 [arXiv:1507.06424] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2212.06852
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Abada, A., Bernal, N., Cárcamo Hernández, A.E. et al. Phenomenological and cosmological implications of a scotogenic three-loop neutrino mass model. J. High Energ. Phys. 2023, 35 (2023). https://doi.org/10.1007/JHEP03(2023)035
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2023)035