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Thermal leptogenesis in the Babu-Nandi-Tavartkiladze model of neutrino mass

P. S. Bhupal Dev1,2,*, Srubabati Goswami3,†, Debashis Pachhar3,4,‡, and Drona Vatsyayan5,6,§

  • *Contact author: bdev@wustl.edu
  • †Contact author: sruba@prl.res.in
  • ‡Contact author: debashisp@iitk.ac.in
  • §Contact author: drona@physics.carleton.ca
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Phys. Rev. D 114, 075001 – Published 1 October, 2026

DOI: https://doi.org/10.1103/lj7k-5c1q

Abstract

We investigate neutrino mass and thermal leptogenesis in the Babu-Nandi-Tavartkiladze model featuring a scalar quadruplet (Φ) and a pair of vectorlike fermion triplets (Σ). In this framework, neutrino masses are generated via an effective dimension-7 operator LLHH(H†H)/Λ3 at the tree level and via the dimension-5 operator LLHH/Λ at the one-loop level. It naturally accommodates sub-eV neutrino masses even if the new physics scale Λ is O(TeV), thus making the model a compelling target for experimental searches. We explore the viability of thermal leptogenesis in this model, which is distinct from the canonical seesaw-based leptogenesis due to the presence of vector-like fermions. We find that leptogenesis is viable for MΣ≳107  GeV for a hierarchical spectrum of fermion triplets. However, in the quasidegenerate regime, resonant enhancement of the CP asymmetry lowers this scale down to O(TeV), reconciling successful leptogenesis with the originally motivated TeV-scale phenomenology and testability of the model at colliders.

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References (88)

  1. S. Weinberg, Baryon and lepton nonconserving processes, Phys. Rev. Lett. 43, 1566 (1979).
  2. P. Minkowski, μ→eγ at a rate of one out of 109 muon decays?, Phys. Lett. 67B, 421 (1977).
  3. R. N. Mohapatra and G. Senjanovic, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44, 912 (1980).
  4. T. Yanagida, Horizontal symmetry, and masses of neutrinos, Prog. Theor. Phys. 64, 1103 (1980).
  5. M. Gell-Mann, P. Ramond, and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927, 315 (1979).
  6. W. Konetschny and W. Kummer, Nonconservation of total lepton number with scalar bosons, Phys. Lett. 70B, 433 (1977).
  7. M. Magg and C. Wetterich, Neutrino mass problem and gauge hierarchy, Phys. Lett. 94B, 61 (1980).
  8. J. Schechter and J. W. F. Valle, Neutrino masses in SU(2)×U(1) theories, Phys. Rev. D 22, 2227 (1980).
  9. 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, 2860 (1980).
  10. G. Lazarides, Q. Shafi, and C. Wetterich, Proton lifetime and fermion masses in an SO(10) model, Nucl. Phys. B181, 287 (1981).
  11. R. N. Mohapatra and G. Senjanovic, Neutrino masses and mixings in gauge models with spontaneous parity violation, Phys. Rev. D 23, 165 (1981).
  12. R. Foot, H. Lew, X. G. He, and G. C. Joshi, Seesaw neutrino masses induced by a triplet of leptons, Z. Phys. C 44, 441 (1989).
  13. G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking, NATO Sci. Ser. B 59, 135 (1980).
  14. J. Kersten and A. Y. Smirnov, Right-handed neutrinos at CERN LHC and the mechanism of neutrino mass generation, Phys. Rev. D 76, 073005 (2007).
  15. A. Ibarra, E. Molinaro, and S. T. Petcov, TeV scale see-saw mechanisms of neutrino mass generation, the Majorana nature of the heavy singlet neutrinos and (ββ)0ν-decay, J. High Energy Phys. 09 (2010) 108.
  16. R. N. Mohapatra and J. W. F. Valle, Neutrino mass and baryon number nonconservation in superstring models, Phys. Rev. D 34, 1642 (1986).
  17. E. K. Akhmedov, M. Lindner, E. Schnapka, and J. W. F. Valle, Left-right symmetry breaking in NJL approach, Phys. Lett. B 368, 270 (1996).
  18. E. K. Akhmedov, M. Lindner, E. Schnapka, and J. W. F. Valle, Dynamical left-right symmetry breaking, Phys. Rev. D 53, 2752 (1996).
  19. M. Malinsky, J. C. Romao, and J. W. F. Valle, Novel supersymmetric SO(10) seesaw mechanism, Phys. Rev. Lett. 95, 161801 (2005).
  20. A. Zee, Quantum numbers of Majorana neutrino masses, Nucl. Phys. B264, 99 (1986).
  21. K. S. Babu, Model of ’calculable’ Majorana neutrino masses, Phys. Lett. B 203, 132 (1988).
  22. A. Pilaftsis, Radiatively induced neutrino masses, and large Higgs neutrino couplings in the standard model with Majorana fields, Z. Phys. C 55, 275 (1992).
  23. Z.-j. Tao, Radiative seesaw mechanism at weak scale, Phys. Rev. D 54, 5693 (1996).
  24. L. M. Krauss, S. Nasri, and M. Trodden, A model for neutrino masses and dark matter, Phys. Rev. D 67, 085002 (2003).
  25. E. Ma, Verifiable radiative seesaw mechanism of neutrino mass, and dark matter, Phys. Rev. D 73, 077301 (2006).
  26. P. S. B. Dev and A. Pilaftsis, Minimal radiative neutrino mass mechanism for inverse seesaw models, Phys. Rev. D 86, 113001 (2012).
  27. 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. Phys. 5, 63 (2017).
  28. C. Klein, M. Lindner, and S. Ohmer, Minimal radiative neutrino masses, J. High Energy Phys. 03 (2019) 018.
  29. K. S. Babu, P. S. B. Dev, S. Jana, and A. Thapa, Non-standard interactions in radiative neutrino mass models, J. High Energy Phys. 03 (2020) 006.
  30. F. F. Deppisch, P. S. B. Dev, and A. Pilaftsis, Neutrinos and collider physics, New J. Phys. 17, 075019 (2015).
  31. Y. Cai, T. Han, T. Li, and R. Ruiz, Lepton number violation: Seesaw models and their collider tests, Front. Phys. 6, 40 (2018).
  32. K. S. Babu and C. N. Leung, Classification of effective neutrino mass operators, Nucl. Phys. B619, 667 (2001).
  33. A. de Gouvea and J. Jenkins, A survey of lepton number violation via effective operators, Phys. Rev. D 77, 013008 (2008).
  34. 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, 071702 (2009).
  35. F. Bonnet, D. Hernandez, T. Ota, and W. Winter, Neutrino masses from higher than d=5 effective operators, J. High Energy Phys. 10 (2009) 076.
  36. I. Picek and B. Radovcic, Novel TeV-scale seesaw mechanism with Dirac mediators, Phys. Lett. B 687, 338 (2010).
  37. Y. Liao, Cascade seesaw for tiny neutrino mass, J. High Energy Phys. 06 (2011) 098.
  38. K. Kumericki, I. Picek, and B. Radovcic, Exotic seesaw-motivated heavy leptons at the LHC, Phys. Rev. D 84, 093002 (2011).
  39. K. Kumericki, I. Picek, and B. Radovcic, TeV-scale seesaw with quintuplet fermions, Phys. Rev. D 86, 013006 (2012).
  40. K. L. McDonald, Minimal tree-level seesaws with a heavy intermediate fermion, J. High Energy Phys. 07 (2013) 020.
  41. W. Wang and Z.-L. Han, Naturally small Dirac neutrino mass with intermediate SU(2)L multiplet fields, J. High Energy Phys. 04 (2017) 166.
  42. R. Cepedello, M. Hirsch, and J. C. Helo, Loop neutrino masses from d=7 operator, J. High Energy Phys. 07 (2017) 079.
  43. G. Anamiati, O. Castillo-Felisola, R. M. Fonseca, J. C. Helo, and M. Hirsch, High-dimensional neutrino masses, J. High Energy Phys. 12 (2018) 066.
  44. I. Doršner and S. Saad, Towards minimal SU(5), Phys. Rev. D 101, 015009 (2020).
  45. A. Giarnetti, J. Herrero-Garcia, S. Marciano, D. Meloni, and D. Vatsyayan, Neutrino masses from new Weinberg-like operators: Phenomenology of TeV scalar multiplets, J. High Energy Phys. 05 (2024) 055.
  46. G. Bambhaniya, J. Chakrabortty, S. Goswami, and P. Konar, Generation of neutrino mass from new physics at TeV scale and multilepton signatures at the LHC, Phys. Rev. D 88, 075006 (2013).
  47. K. Ghosh, S. Jana, and S. Nandi, Neutrino mass generation at TeV scale and new physics signatures from charged Higgs at the LHC for photon initiated processes, J. High Energy Phys. 03 (2018) 180.
  48. T. Ghosh, S. Jana, and S. Nandi, Neutrino mass from Higgs quadruplet and multicharged Higgs searches at the LHC, Phys. Rev. D 97, 115037 (2018).
  49. J. Pan, J.-H. Chen, X.-G. He, G. Li, and J.-Y. Su, Triply charged Higgs bosons at a 100 TeV pp collider, Eur. Phys. J. C 81, 43 (2021).
  50. A. Chakraborty, S. Chowdhury, N. Kumar, and V. Sahdev, Search for quadruplet scalars using boosted decision trees at the LHC, Phys. Rev. D 113, 095017 (2026).
  51. C. Arbeláez, R. Cepedello, R. M. Fonseca, and M. Hirsch, (g−2) anomalies and neutrino mass, Phys. Rev. D 102, 075005 (2020).
  52. S. Ashanujjaman and S. P. Maharathy, Vacuum structure of the Babu-Nandi-Tavartkiladze model of neutrino mass generation, Phys. Rev. D 113, 075040 (2026).
  53. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174, 45 (1986).
  54. V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, On the anomalous electroweak baryon number nonconservation in the early universe, Phys. Lett. 155B, 36 (1985).
  55. K. Dick, M. Lindner, M. Ratz, and D. Wright, Leptogenesis with Dirac neutrinos, Phys. Rev. Lett. 84, 4039 (2000).
  56. H. Murayama and A. Pierce, Realistic Dirac leptogenesis, Phys. Rev. Lett. 89, 271601 (2002).
  57. S. Davidson and A. Ibarra, A lower bound on the right-handed neutrino mass from leptogenesis, Phys. Lett. B 535, 25 (2002).
  58. W. Buchmuller, P. Di Bari, and M. Plumacher, A bound on neutrino masses from baryogenesis, Phys. Lett. B 547, 128 (2002).
  59. W. Buchmuller, P. Di Bari, and M. Plumacher, Leptogenesis for pedestrians, Ann. Phys. (Amsterdam) 315, 305 (2005).
  60. T. Hambye, Leptogenesis: Beyond the minimal type I seesaw scenario, New J. Phys. 14, 125014 (2012).
  61. K. Moffat, S. Pascoli, S. T. Petcov, H. Schulz, and J. Turner, Three-flavored nonresonant leptogenesis at intermediate scales, Phys. Rev. D 98, 015036 (2018).
  62. E. K. Akhmedov, V. A. Rubakov, and A. Y. Smirnov, Baryogenesis via neutrino oscillations, Phys. Rev. Lett. 81, 1359 (1998).
  63. A. Pilaftsis and T. E. J. Underwood, Resonant leptogenesis, Nucl. Phys. B692, 303 (2004).
  64. E. J. Chun et al., Probing leptogenesis, Int. J. Mod. Phys. A 33, 1842005 (2018).
  65. T. Hambye, Y. Lin, A. Notari, M. Papucci, and A. Strumia, Constraints on neutrino masses from leptogenesis models, Nucl. Phys. B695, 169 (2004).
  66. E. Ma and U. Sarkar, Neutrino masses and leptogenesis with heavy Higgs triplets, Phys. Rev. Lett. 80, 5716 (1998).
  67. T. Hambye and G. Senjanovic, Consequences of triplet seesaw for leptogenesis, Phys. Lett. B 582, 73 (2004).
  68. T. Hambye, M. Raidal, and A. Strumia, Efficiency and maximal CP-asymmetry of scalar triplet leptogenesis, Phys. Lett. B 632, 667 (2006).
  69. A. Strumia, Sommerfeld corrections to type-II, and III leptogenesis, Nucl. Phys. B809, 308 (2009).
  70. Particle Data Group, Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  71. CMS Collaboration, A search for doubly-charged Higgs boson production in three and four lepton final states at s=13  TeV, Technical Report No. CMS-PAS-HIG-16-036, CERN, 2017, https://cds.cern.ch/record/2242956.
  72. ATLAS Collaboration, Search for doubly charged Higgs boson production in multi-lepton final states using 139 fb−1 of proton–proton collisions at s=13  TeV with the ATLAS detector, Eur. Phys. J. C 83, 605 (2023).
  73. CMS Collaboration, Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at s=13  TeV, Phys. Rev. Lett. 120, 081801 (2018).
  74. ATLAS Collaboration, Search for doubly and singly charged Higgs bosons decaying into vector bosons in multi-lepton final states with the ATLAS detector using proton-proton collisions at s=13  TeV, J. High Energy Phys. 06 (2021) 146.
  75. ATLAS Collaboration, Search for type-III seesaw heavy leptons in leptonic final states in pp collisions at s=13  TeV with the ATLAS detector, Eur. Phys. J. C 82, 988 (2022).
  76. CMS Collaboration, Inclusive nonresonant multilepton probes of new phenomena at s=13  TeV, Phys. Rev. D 105, 112007 (2022).
  77. A. Giarnetti, J. Herrero-García, S. Marciano, D. Meloni, and D. Vatsyayan, Neutrino masses from new seesaw models: Low-scale variants and phenomenological implications, Eur. Phys. J. C 84, 803 (2024).
  78. J. Herrero-García, S. Marciano, J. Racker, and D. Vatsyayan, Generalized Casas-Ibarra parametrization for Majorana neutrino masses, Phys. Rev. D 113, 035035 (2026).
  79. J. A. Casas and A. Ibarra, Oscillating neutrinos and μ→e,γ, Nucl. Phys. B618, 171 (2001).
  80. D. Vatsyayan and S. Goswami, Lowering the scale of fermion triplet leptogenesis with two Higgs doublets, Phys. Rev. D 107, 035014 (2023).
  81. E. W. Kolb and S. Wolfram, Baryon number generation in the early universe, Nucl. Phys. B172, 224 (1980).
  82. M. Berbig, S. M. A. S. H. E. D.: Standard model axion seesaw Higgs inflation extended for Dirac neutrinos, J. Cosmol. Astropart. Phys. 11 (2022) 042.
  83. M. Cirelli, A. Strumia, and M. Tamburini, Cosmology and astrophysics of minimal dark matter, Nucl. Phys. B787, 152 (2007).
  84. J. Racker, Low-scale leptogenesis in the scotogenic model: Spectator processes and benchmark points, Phys. Rev. D 111, L081301 (2025).
  85. P. S. B. Dev, M. Garny, J. Klaric, P. Millington, and D. Teresi, Resonant enhancement in leptogenesis, Int. J. Mod. Phys. A 33, 1842003 (2018).
  86. P. S. B. Dev, P. Millington, A. Pilaftsis, and D. Teresi, Flavour covariant transport equations: An application to resonant leptogenesis, Nucl. Phys. B886, 569 (2014).
  87. J. Herrero-Garcia, N. Rius, and A. Santamaria, Higgs lepton flavour violation: UV completions and connection to neutrino masses, J. High Energy Phys. 11 (2016) 084.
  88. P. S. B. Dev, P. Di Bari, B. Garbrecht, S. Lavignac, P. Millington, and D. Teresi, Flavor effects in leptogenesis, Int. J. Mod. Phys. A 33, 1842001 (2018).

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Phys. Rev. D 114, 075001– Published 1 October, 2026
  • Received 18 August 2026
  • Accepted 3 September 2026
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