Abstract
We propose a class of models providing an explanation of the origin of light neutrino masses, the baryon asymmetry of the Universe via leptogenesis and offering viable dark matter candidates. In these models the Majorana masses of the active neutrino are generated by the inverse seesaw mechanism with the lepton number violating right-handed Majorana neutrino masses μ arising at three loops. The latter is ensured by the preserved discrete symmetries, which also guarantee the stability of the dark matter candidate. We focus on one of these models and perform a detailed analysis of the phenomenology of its leptonic sector. The model can successfully accommodate baryogenesis through leptogenesis in both weak and strong washout regimes. The lightest heavy fermion turns out to be a viable dark matter candidate, provided that the entries of the Majorana submatrix μ are in the keV to MeV range. The solutions are consistent with the experimental constraints, accommodating both mass orderings for active neutrinos, in particular charged-lepton flavor violating decays μ → eγ, μ → eee, and the electron-muon conversion processes get sizable rates within future sensitivity reach.
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References
Y. Cai et al., From the trees to the forest: a review of radiative neutrino mass models, Front. in Phys. 5 (2017) 63 [arXiv:1706.08524] [INSPIRE].
S. Jana, P.K. Vishnu and S. Saad, Minimal realizations of Dirac neutrino mass from generic one-loop and two-loop topologies at d = 5, JCAP 04 (2020) 018 [arXiv:1910.09537] [INSPIRE].
C. Arbeláez et al., How many 1-loop neutrino mass models are there?, JHEP 08 (2022) 023 [arXiv:2205.13063] [INSPIRE].
C. Bonilla, E. Ma, E. Peinado and J.W.F. Valle, Two-loop Dirac neutrino mass and WIMP dark matter, Phys. Lett. B 762 (2016) 214 [arXiv:1607.03931] [INSPIRE].
S. Baek, H. Okada and Y. Orikasa, A Two Loop Radiative Neutrino Model, Nucl. Phys. B 941 (2019) 744 [arXiv:1703.00685] [INSPIRE].
S. Saad, Origin of a two-loop neutrino mass from SU(5) grand unification, Phys. Rev. D 99 (2019) 115016 [arXiv:1902.11254] [INSPIRE].
T. Nomura and H. Okada, A two loop induced neutrino mass model with modular A4 symmetry, Nucl. Phys. B 966 (2021) 115372 [arXiv:1906.03927] [INSPIRE].
C. Arbeláez et al., Radiative type-I seesaw neutrino masses, Phys. Rev. D 100 (2019) 115021 [arXiv:1910.04178] [INSPIRE].
S. Saad, Combined explanations of (g − 2)μ, \( {R}_{D^{\left(\ast \right)}} \), \( {R}_{K^{\left(\ast \right)}} \) anomalies in a two-loop radiative neutrino mass model, Phys. Rev. D 102 (2020) 015019 [arXiv:2005.04352] [INSPIRE].
Z.-Z. Xing and D. Zhang, On the two-loop radiative origin of the smallest neutrino mass and the associated Majorana CP phase, Phys. Lett. B 807 (2020) 135598 [arXiv:2005.05171] [INSPIRE].
C.-H. Chen and T. Nomura, Two-loop radiative seesaw, muon g − 2, and τ-lepton-flavor violation with DM constraints, JHEP 09 (2021) 090 [arXiv:2001.07515] [INSPIRE].
T. Nomura, H. Okada and Y. Uesaka, A two-loop induced neutrino mass model, dark matter, and LFV processes ℓi → ℓjγ, and μe → ee in a hidden local U(1) symmetry, Nucl. Phys. B 962 (2021) 115236 [arXiv:2008.02673] [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].
A. Abada et al., Phenomenological and cosmological implications of a scotogenic three-loop neutrino mass model, JHEP 03 (2023) 035 [arXiv:2212.06852] [INSPIRE].
C. Bonilla et al., Fermion mass hierarchy in an extended left-right symmetric model, JHEP 12 (2023) 075 [arXiv:2305.11967] [INSPIRE].
T.B. de Melo et al., Phenomenology of a scotogenic neutrino mass model at 3-loops, PoS TAUP2023 (2024) 255 [arXiv:2311.14716] [INSPIRE].
CDF collaboration, High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170 [INSPIRE].
R.N. Mohapatra and J.W.F. Valle, Neutrino Mass and Baryon Number Nonconservation in Superstring Models, Phys. Rev. D 34 (1986) 1642 [INSPIRE].
E. Ma, Radiative inverse seesaw mechanism for nonzero neutrino mass, Phys. Rev. D 80 (2009) 013013 [arXiv:0904.4450] [INSPIRE].
V. Barger et al., Complex Singlet Extension of the Standard Model, Phys. Rev. D 79 (2009) 015018 [arXiv:0811.0393] [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].
A. Abada et al., Gauged inverse seesaw from dark matter, Eur. Phys. J. C 81 (2021) 758 [arXiv:2107.02803] [INSPIRE].
A.E.C. Hernández, C. Espinoza, J.C. Gómez-Izquierdo and M. Mondragón, Fermion masses and mixings, dark matter, leptogenesis and g − 2 muon anomaly in an extended 2HDM with inverse seesaw, Eur. Phys. J. Plus 137 (2022) 1224 [arXiv:2104.02730] [INSPIRE].
A. Ahriche and S. Nasri, Dark matter and strong electroweak phase transition in a radiative neutrino mass model, JCAP 07 (2013) 035 [arXiv:1304.2055] [INSPIRE].
R. Cepedello Pérez, Radiative neutrino masses: A window to new physics, Ph.D. thesis, Valencia University, IFIC, Spain (2021) [arXiv:2105.01896] [INSPIRE].
M.E. Catano, R. Martinez and F. Ochoa, Neutrino masses in a 331 model with right-handed neutrinos without doubly charged Higgs bosons via inverse and double seesaw mechanisms, Phys. Rev. D 86 (2012) 073015 [arXiv:1206.1966] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
A. Das and N. Okada, Inverse seesaw neutrino signatures at the LHC and ILC, Phys. Rev. D 88 (2013) 113001 [arXiv:1207.3734] [INSPIRE].
M.J. Dolan, T.P. Dutka and R.R. Volkas, Dirac-Phase Thermal Leptogenesis in the extended Type-I Seesaw Model, JCAP 06 (2018) 012 [arXiv:1802.08373] [INSPIRE].
I. Cordero-Carrión, M. Hirsch and A. Vicente, Master Majorana neutrino mass parametrization, Phys. Rev. D 99 (2019) 075019 [arXiv:1812.03896] [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].
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].
A.E. Cárcamo Hernández, D.T. Huong and H.N. Long, Minimal model for the fermion flavor structure, mass hierarchy, dark matter, leptogenesis, and the electron and muon anomalous magnetic moments, Phys. Rev. D 102 (2020) 055002 [arXiv:1910.12877] [INSPIRE].
A.E.C. Hernández, D.T. Huong and I. Schmidt, Universal inverse seesaw mechanism as a source of the SM fermion mass hierarchy, Eur. Phys. J. C 82 (2022) 63 [arXiv:2109.12118] [INSPIRE].
S. Kovalenko, Z. Lu and I. Schmidt, Lepton Number Violating Processes Mediated by Majorana Neutrinos at Hadron Colliders, Phys. Rev. D 80 (2009) 073014 [arXiv:0907.2533] [INSPIRE].
A. Faessler, M. González, S. Kovalenko and F. Šimkovic, Arbitrary mass Majorana neutrinos in neutrinoless double beta decay, Phys. Rev. D 90 (2014) 096010 [arXiv:1408.6077] [INSPIRE].
A. Babič, S. Kovalenko, M.I. Krivoruchenko and F. Šimkovic, Interpolating formula for the 0νββ-decay half-life in the case of light and heavy neutrino mass mechanisms, Phys. Rev. D 98 (2018) 015003 [arXiv:1804.04218] [INSPIRE].
P. Langacker and D. London, Lepton Number Violation and Massless Nonorthogonal Neutrinos, Phys. Rev. D 38 (1988) 907 [INSPIRE].
L. Lavoura, General formulae for f(1) → f(2) + γ, Eur. Phys. J. C 29 (2003) 191 [hep-ph/0302221] [INSPIRE].
L.T. Hue, L.D. Ninh, T.T. Thuc and N.T.T. Dat, Exact one-loop results for li → ljγ in 3-3-1 models, Eur. Phys. J. C 78 (2018) 128 [arXiv:1708.09723] [INSPIRE].
A.E. Cárcamo Hernández, L.T. Hue, S. Kovalenko and H.N. Long, An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism, Eur. Phys. J. Plus 136 (2021) 1158 [arXiv:2001.01748] [INSPIRE].
C. Bonilla et al., Dark matter from a radiative inverse seesaw majoron model, Phys. Lett. B 847 (2023) 138282 [arXiv:2306.08453] [INSPIRE].
A.E. Cárcamo Hernández, V. K. N. and J.W.F. Valle, Linear seesaw mechanism from dark sector, JHEP 09 (2023) 046 [arXiv:2305.02273] [INSPIRE].
A. Batra et al., Phenomenology of the simplest linear seesaw mechanism, JHEP 07 (2023) 221 [arXiv:2305.00994] [INSPIRE].
R. Kitano, M. Koike and Y. Okada, Detailed calculation of lepton flavor violating muon electron conversion rate for various nuclei, Phys. Rev. D 66 (2002) 096002 [Erratum ibid. 76 (2007) 059902] [hep-ph/0203110] [INSPIRE].
A. Ilakovac and A. Pilaftsis, Flavor violating charged lepton decays in seesaw-type models, Nucl. Phys. B 437 (1995) 491 [hep-ph/9403398] [INSPIRE].
R. Alonso, M. Dhen, M.B. Gavela and T. Hambye, Muon conversion to electron in nuclei in type-I seesaw models, JHEP 01 (2013) 118 [arXiv:1209.2679] [INSPIRE].
P.-H. Gu and U. Sarkar, Leptogenesis with Linear, Inverse or Double Seesaw, Phys. Lett. B 694 (2011) 226 [arXiv:1007.2323] [INSPIRE].
A. Pilaftsis, CP violation and baryogenesis due to heavy Majorana neutrinos, Phys. Rev. D 56 (1997) 5431 [hep-ph/9707235] [INSPIRE].
S. Blanchet, T. Hambye and F.-X. Josse-Michaux, Reconciling leptogenesis with observable μ → eγ rates, JHEP 04 (2010) 023 [arXiv:0912.3153] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
R. Allahverdi et al., The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe, arXiv:2006.16182 [https://doi.org/10.21105/astro.2006.16182] [INSPIRE].
K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev. D 43 (1991) 3191 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
X. Marcano Imaz, Lepton flavor violation from low scale seesaw neutrinos with masses reachable at the LHC, Ph.D. thesis, U. Autonoma, Madrid (main), Spain (2017) [arXiv:1710.08032] [INSPIRE].
A.E.C. Hernández and I. Schmidt, A renormalizable left-right symmetric model with low scale seesaw mechanisms, Nucl. Phys. B 976 (2022) 115696 [arXiv:2101.02718] [INSPIRE].
A. Abada, J. Kriewald and A.M. Teixeira, On the role of leptonic CPV phases in cLFV observables, Eur. Phys. J. C 81 (2021) 1016 [arXiv:2107.06313] [INSPIRE].
Acknowledgments
This project has received funding and support from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 860881 (H2020-MSCA-ITN-2019 HIDDeN) and from the Marie Skłodowska-Curie Staff Exchange grant agreement No 101086085 “ASYMMETRY”. A.E.C.H.. and S.K. are supported by ANID-Chile FONDECYT 1170171, 1210378, 1230160, ANID PIA/APOYO AFB230003, and Proyecto Milenio- ANID: ICN2019_044. TBM acknowledges ANID-Chile grant FONDE-CYT No. 3220454 for financial support.
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Dedicated to the memory of Iván Schmidt, a very nice person, friend and long-term collaborator who passed away on November 27th, 2023.
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Abada, A., Bernal, N., Cárcamo Hernández, A.E. et al. Three-loop inverse scotogenic seesaw models. J. High Energ. Phys. 2024, 35 (2024). https://doi.org/10.1007/JHEP05(2024)035
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DOI: https://doi.org/10.1007/JHEP05(2024)035