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Lepton number violation at the LHC in radiative neutrino mass models with leptoquarks

K. S. Babu1,*, Rahool Kumar Barman2,†, and Dorival Gonçalves1,‡

  • *Contact author: babu@okstate.edu
  • †Contact author: rahoolbarman@physics.iitm.ac.in
  • ‡Contact author: dorival@okstate.edu

Phys. Rev. D 114, 055039 – Published 21 September, 2026

DOI: https://doi.org/10.1103/vbbz-98kg

Abstract

We investigate the prospects for observing lepton number violation (LNV) by two units, |ΔL|=2, at the LHC within the leptoquark variant of the Zee Model, where Majorana neutrino masses arise radiatively at one loop. The model features an SU(2)L doublet and singlet leptoquarks, whose interactions produce a distinctive same-sign dilepton plus jets signature, pp→ℓ±ℓ′±+jets. Taking into account current experimental constraints, we identify the dominant production channels for this LNV signal and perform a detailed collider analysis. We find that the HL-LHC can probe leptoquark masses up to mLQ∼1.5  TeV with this process. Observation of this signal would provide a direct test of LNV and would unambiguously establish the Majorana nature of neutrinos.

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References (100)

  1. A. Zee, A theory of lepton number violation, neutrino majorana mass, and oscillation, Phys. Lett. 93B, 389 (1980); 95B, 461(E) (1980).
  2. L. J. Hall and M. Suzuki, Explicit R-parity breaking in supersymmetric models, Nucl. Phys. B231, 419 (1984).
  3. A. Zee, Quantum numbers of majorana neutrino masses, Nucl. Phys. B264, 99 (1986).
  4. K. S. Babu, Model of “Calculable” majorana neutrino masses, Phys. Lett. B 203, 132 (1988).
  5. E. Carquin, N. A. Neill, J. C. Helo, and M. Hirsch, Exotic colored fermions and lepton number violation at the LHC, Phys. Rev. D 99, 115028 (2019).
  6. L. M. Krauss, S. Nasri, and M. Trodden, A model for neutrino masses and dark matter, Phys. Rev. D 67, 085002 (2003).
  7. Y. Cai, T. Han, T. Li, and R. Ruiz, Lepton number violation: Seesaw models and their collider tests, Front. Phys. 6, 40 (2018).
  8. 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.
  9. K. S. Babu, R. K. Barman, D. Gonçalves, and A. Ismail, Probing lepton number violation and Majorana nature of neutrinos at the LHC, J. High Energy Phys. 06 (2024) 132.
  10. J. Schechter and J. Valle, Neutrinoless Double beta decay in SU(2)×U(1) theories, Phys. Rev. D 25, 2951 (1982).
  11. W. H. Furry, On transition probabilities in double beta-disintegration, Phys. Rev. 56, 1184 (1939).
  12. M. Duerr, M. Lindner, and A. Merle, On the quantitative impact of the Schechter-Valle theorem, J. High Energy Phys. 06 (2011) 091.
  13. W.-Y. Keung and G. Senjanovic, Majorana neutrinos and the production of the right-handed charged gauge boson, Phys. Rev. Lett. 50, 1427 (1983).
  14. S. N. Gninenko, M. M. Kirsanov, N. V. Krasnikov, and V. A. Matveev, Detection of heavy Majorana neutrinos and right-handed bosons, Phys. At. Nucl. 70, 441 (2007).
  15. A. Maiezza, M. Nemevsek, F. Nesti, and G. Senjanovic, Left-right symmetry at LHC, Phys. Rev. D 82, 055022 (2010).
  16. M. Nemevsek, F. Nesti, G. Senjanovic, and Y. Zhang, First limits on left-right symmetry scale from LHC data, Phys. Rev. D 83, 115014 (2011).
  17. C.-Y. Chen and P. S. B. Dev, Multi-lepton collider signatures of heavy Dirac and majorana neutrinos, Phys. Rev. D 85, 093018 (2012).
  18. J. Chakrabortty, J. Gluza, R. Sevillano, and R. Szafron, Left-right symmetry at LHC and precise 1-loop low energy data, J. High Energy Phys. 07 (2012) 038.
  19. J. A. Aguilar-Saavedra and F. R. Joaquim, Measuring heavy neutrino couplings at the LHC, Phys. Rev. D 86, 073005 (2012).
  20. T. Han, I. Lewis, R. Ruiz, and Z.-g. Si, Lepton number violation and W′ Chiral couplings at the LHC, Phys. Rev. D 87, 035011 (2013); 87, 039906(E) (2013).
  21. C.-Y. Chen, P. S. B. Dev, and R. N. Mohapatra, Probing heavy-light neutrino mixing in left-right seesaw models at the LHC, Phys. Rev. D 88, 033014 (2013).
  22. P. S. B. Dev, A. Pilaftsis, and U.-k. Yang, New production mechanism for heavy neutrinos at the LHC, Phys. Rev. Lett. 112, 081801 (2014).
  23. B. Dutta, R. Eusebi, Y. Gao, T. Ghosh, and T. Kamon, Exploring the doubly charged Higgs boson of the left-right symmetric model using vector boson fusionlike events at the LHC, Phys. Rev. D 90, 055015 (2014).
  24. J. Gluza and T. Jeliński, Heavy neutrinos and the pp→lljj CMS data, Phys. Lett. B 748, 125 (2015).
  25. J. N. Ng, A. de la Puente, and B. W.-P. Pan, Search for heavy right-handed neutrinos at the LHC and beyond in the same-sign same-flavor leptons final state, J. High Energy Phys. 12 (2015) 172.
  26. A. Maiezza, M. Nemevšek, and F. Nesti, Lepton number violation in Higgs decay at LHC, Phys. Rev. Lett. 115, 081802 (2015).
  27. F. F. Deppisch, P. S. Bhupal Dev, and A. Pilaftsis, Neutrinos and collider physics, New J. Phys. 17, 075019 (2015).
  28. C. Degrande, O. Mattelaer, R. Ruiz, and J. Turner, Fully-automated precision predictions for heavy neutrino production mechanisms at hadron colliders, Phys. Rev. D 94, 053002 (2016).
  29. P. S. B. Dev, R. N. Mohapatra, and Y. Zhang, Probing the Higgs sector of the minimal left-right symmetric model at future hadron colliders, J. High Energy Phys. 05 (2016) 174.
  30. A. Roitgrund, Search for like-sign dileptons plus two jets signal in the framework of the manifest left-right symmetric model, J. High Energy Phys. 01 (2021) 031.
  31. M. Nemevšek, F. Nesti, and G. Popara, Keung-Senjanović process at the LHC: From lepton number violation to displaced vertices to invisible decays, Phys. Rev. D 97, 115018 (2018).
  32. D. A. Dicus, D. D. Karatas, and P. Roy, Lepton nonconservation at supercollider energies, Phys. Rev. D 44, 2033 (1991).
  33. A. Datta, M. Guchait, and A. Pilaftsis, Probing lepton number violation via majorana neutrinos at hadron supercolliders, Phys. Rev. D 50, 3195 (1994).
  34. A. Ali, A. V. Borisov, and N. B. Zamorin, Majorana neutrinos and same sign Dilepton production at LHC and in rare meson decays, Eur. Phys. J. C 21, 123 (2001).
  35. T. Han and B. Zhang, Signatures for Majorana neutrinos at hadron colliders, Phys. Rev. Lett. 97, 171804 (2006).
  36. 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).
  37. F. del Aguila, J. A. Aguilar-Saavedra, and R. Pittau, Heavy neutrino signals at large hadron colliders, J. High Energy Phys. 10 (2007) 047.
  38. A. Atre, T. Han, S. Pascoli, and B. Zhang, The search for heavy majorana neutrinos, J. High Energy Phys. 05 (2009) 030.
  39. D. Alva, T. Han, and R. Ruiz, Heavy Majorana neutrinos from Wγ fusion at hadron colliders, J. High Energy Phys. 02 (2015) 072.
  40. A. Das and N. Okada, Improved bounds on the heavy neutrino productions at the LHC, Phys. Rev. D 93, 033003 (2016).
  41. A. Das, P. Konar, and S. Majhi, Production of Heavy neutrino in next-to-leading order QCD at the LHC and beyond, J. High Energy Phys. 06 (2016) 019.
  42. A. Das, P. Konar, and A. Thalapillil, Jet substructure shedding light on heavy Majorana neutrinos at the LHC, J. High Energy Phys. 02 (2018) 083.
  43. M. Drewes, J. Klarić, and P. Klose, On lepton number violation in heavy neutrino decays at colliders, J. High Energy Phys. 11 (2019) 032.
  44. B. Fuks, J. Neundorf, K. Peters, R. Ruiz, and M. Saimpert, Majorana neutrinos in same-sign W±W± scattering at the LHC: Breaking the TeV barrier, Phys. Rev. D 103, 055005 (2021).
  45. P. D. Bolton, J. Kriewald, M. Nemevšek, F. Nesti, and J. C. Vasquez, Hadron colliders signatures of lepton number violation in the type II seesaw model, Phys. Rev. D 111, 035016 (2025).
  46. J. C. Helo, M. Hirsch, S. G. Kovalenko, and H. Pas, Neutrinoless double beta decay and lepton number violation at the LHC, Phys. Rev. D 88, 011901 (2013).
  47. J. C. Helo, M. Hirsch, H. Päs, and S. G. Kovalenko, Short-range mechanisms of neutrinoless double beta decay at the LHC, Phys. Rev. D 88, 073011 (2013).
  48. F. del Aguila, M. Chala, A. Santamaria, and J. Wudka, Discriminating between lepton number violating scalars using events with four and three charged leptons at the LHC, Phys. Lett. B 725, 310 (2013).
  49. F. del Águila and M. Chala, LHC bounds on lepton number violation mediated by doubly and singly-charged scalars, J. High Energy Phys. 03 (2014) 027.
  50. T. Peng, M. J. Ramsey-Musolf, and P. Winslow, TeV lepton number violation: From neutrinoless double-β decay to the LHC, Phys. Rev. D 93, 093002 (2016).
  51. J. Harz, M. J. Ramsey-Musolf, T. Shen, and S. Urrutia-Quiroga, TeV-scale lepton number violation: Connecting leptogenesis, neutrinoless double beta decay, and colliders, Phys. Rev. D 110, 035024 (2024).
  52. M. L. Graesser, G. Li, M. J. Ramsey-Musolf, T. Shen, and S. Urrutia-Quiroga, Uncovering a chirally suppressed mechanism of 0νββ decay with LHC searches, J. High Energy Phys. 10 (2022) 034.
  53. M. Aaboud et al. (ATLAS Collaboration), Search for heavy Majorana or Dirac neutrinos and right-handed W gauge bosons in final states with two charged leptons and two jets at s=13  TeV with the ATLAS detector, J. High Energy Phys. 01 (2019) 016.
  54. A. M. Sirunyan et al. (CMS Collaboration), Search for heavy Majorana neutrinos in same-sign dilepton channels in proton-proton collisions at s=13  TeV, J. High Energy Phys. 01 (2019) 122.
  55. T. G. Rizzo, Doubly charged Higgs bosons and lepton number violating processes, Phys. Rev. D 25, 1355 (1982); 27, 657(A) (1983).
  56. A. Crivellin, M. Ghezzi, L. Panizzi, G. M. Pruna, and A. Signer, Low- and high-energy phenomenology of a doubly charged scalar, Phys. Rev. D 99, 035004 (2019).
  57. T. Li, C.-Y. Yao, and M. Yuan, Searching for heavy neutral lepton and lepton number violation through VBS at high-energy muon colliders, J. High Energy Phys. 09 (2023) 131.
  58. O. Mikulenko and M. Marinichenko, Measuring lepton number violation in heavy neutral lepton decays at the future muon collider, J. High Energy Phys. 01 (2024) 032.
  59. S. P. Maharathy and M. Mitra, Type-II see-saw at μ+μ− collider, Phys. Lett. B 844, 138105 (2023).
  60. C. H. de Lima, D. McKeen, J. N. Ng, M. Shamma, and D. Tuckler, Probing lepton number violation at same-sign lepton colliders, Phys. Rev. D 111, 075002 (2025).
  61. Q.-H. Cao, K. Cheng, and Y. Liu, Distinguishing Dirac from majorana heavy neutrino at future lepton colliders, Phys. Rev. Lett. 134, 021801 (2025).
  62. F.-X. Yang, F.-L. Shao, Z.-L. Han, F. Huang, Y. Jin, and H. Li, Lepton number violation Higgs decay at muon collider, J. High Energy Phys. 09 (2025) 200.
  63. R. Aaij et al. (LHCb Collaboration), Search for Majorana neutrinos in B−→π+μ−μ− decays, Phys. Rev. Lett. 112, 131802 (2014).
  64. I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. a. P. Pinheiro, and T. Schwetz, NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 12 (2024) 216.
  65. K. S. Babu and J. Julio, Two-loop neutrino mass generation through leptoquarks, Nucl. Phys. B841, 130 (2010).
  66. G. Aad et al. (ATLAS Collaboration), Search for pairs of scalar leptoquarks decaying into quarks and electrons or muons in s=13  TeV pp collisions with the ATLAS detector, J. High Energy Phys. 10 (2020) 112.
  67. A. Hayrapetyan et al. (CMS Collaboration), Search for pair production of scalar and vector leptoquarks decaying to muons and bottom quarks in proton-proton collisions at s=13  TeV, Phys. Rev. D 109, 112003 (2024).
  68. D. Aristizabal Sierra, M. Hirsch, and S. G. Kovalenko, Leptoquarks: Neutrino masses and accelerator phenomenology, Phys. Rev. D 77, 055011 (2008).
  69. D. Dercks, H. Dreiner, M. E. Krauss, T. Opferkuch, and A. Reinert, R-parity violation at the LHC, Eur. Phys. J. C 77, 856 (2017).
  70. M. Aker et al. (KATRIN Collaboration), Direct neutrino-mass measurement based on 259 days of KATRIN data, Science 388, adq9592 (2025).
  71. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  72. L. Lavoura, General formulae for f1→f2γ, Eur. Phys. J. C 29, 191 (2003).
  73. A. Crivellin, C. Greub, D. Müller, and F. Saturnino, Scalar leptoquarks in leptonic processes, J. High Energy Phys. 02 (2021) 182.
  74. K. Afanaciev et al. (MEG II Collaboration), New limit on the μ+−>e+γdecay with the MEG II experiment, Eur. Phys. J. C 85, 1177 (2025).
  75. B. Aubert et al. (BABAR Collaboration), Searches for lepton flavor violation in the decays τ±→e±γ and τ±→μ±γ, Phys. Rev. Lett. 104, 021802 (2010).
  76. A. Abdesselam et al. (Belle Collaboration), Search for lepton-flavor-violating tau-lepton decays to ℓγ at Belle, J. High Energy Phys. 10 (2021) 19.
  77. W. Bertl, R. Engfer et al., A search for mu-e conversion in muonic gold, Eur. Phys. J. C 47, 337 (2006).
  78. W. Honecker, C. Dohmen et al. (SINDRUM II Collaboration), Improved limit on the branching ratio of μ→e conversion on lead, Phys. Rev. Lett. 76, 200 (1996).
  79. D. Ambrose et al. (BNL E871 Collaboration), First observation of the rare decay mode KL0→e+e−, Phys. Rev. Lett. 81, 4309 (1998).
  80. F. Takahashi et al. (Particle Data Group), Review of particle physics, Int. J. Mod. Phys. A 41, 2630011 (2026).
  81. D. Ambrose et al. (BNL Collaboration), New limit on muon and electron lepton number violation from KL0→μ±e∓ decay, Phys. Rev. Lett. 81, 5734 (1998).
  82. E. Cortina Gil et al. (NA62 Collaboration), A measurement of the K+→π+μ+μ− decay, J. High Energy Phys. 11 (2022) 011.
  83. A. Sher et al., An Improved upper limit on the decay K+→π+μ+e−, Phys. Rev. D 72, 012005 (2005).
  84. S. Alibocus et al. (NA62 Collaboration), Measurement of the branching ratio of the K+→+νν¯ decay, arXiv:2607.16413.
  85. R. Mandal and A. Pich, Constraints on scalar leptoquarks from lepton and kaon physics, J. High Energy Phys. 12 (2019) 089.
  86. K. S. Babu, P. S. B. Dev, S. Jana, and A. Thapa, Unified framework for B-anomalies, muon g−−2 and neutrino masses, J. High Energy Phys. 03 (2021) 179.
  87. W. Grimus, L. Lavoura, O. M. Ogreid, and P. Osland, The Oblique parameters in multi-Higgs-doublet models, Nucl. Phys. B801, 81 (2008).
  88. A. Crivellin, D. Müller, and F. Saturnino, Leptoquarks in oblique corrections and Higgs signal strength: status and prospects, J. High Energy Phys. 11 (2020) 094.
  89. G. Aad et al. (ATLAS Collaboration), Combination of searches for pair-produced leptoquarks at s=13  TeV with the ATLAS detector, Phys. Lett. B 854, 138736 (2024).
  90. G. Aad et al. (ATLAS Collaboration), Search for supersymmetry in final states with missing transverse momentum and charm-tagged jets using 139  fb−−1 of proton-proton collisions at s=13  TeV with the ATLAS detector, J. High Energy Phys. 02 (2025) 193.
  91. G. Aad et al. (ATLAS Collaboration), Search for pair production of third-generation leptoquarks decaying into a bottom quark and a τ-lepton with the ATLAS detector, Eur. Phys. J. C 83, 1075 (2023).
  92. G. Aad et al. (ATLAS Collaboration), Search for leptoquarks decaying into the bτ final state in pp collisions at s=13  TeV with the ATLAS detector, J. High Energy Phys. 10 (2023) 001.
  93. G. Aad et al. (ATLAS Collaboration), Search for leptoquark pair production decaying into te−t¯e+ or tμ−t¯μ+ in multi-lepton final states in pp collisions at s=13  TeV with the ATLAS detector, Eur. Phys. J. C 84, 818 (2024).
  94. I. d. M. Varzielas and A. Sengupta, Constraining flavoured leptoquarks with LHC and LFV, Nucl. Phys. B1001, 116495 (2024).
  95. J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer, H. S. Shao, T. Stelzer, P. Torrielli, and M. Zaro, The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations, J. High Energy Phys. 07 (2014) 079.
  96. T. Sjostrand, S. Mrenna, and P. Z. Skands, A Brief Introduction to pythia 8.1, Comput. Phys. Commun. 178, 852 (2008).
  97. A. Alloul, N. D. Christensen, C. Degrande, C. Duhr, and B. Fuks, feynrules 2.0—A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185, 2250 (2014).
  98. J. de Favereau, C. Delaere, P. Demin, A. Giammanco, V. Lemaître, A. Mertens, and M. Selvaggi (DELPHES 3 Collaboration), delphes 3, A modular framework for fast simulation of a generic collider experiment, J. High Energy Phys. 02 (2014) 057.
  99. M. Kramer, T. Plehn, M. Spira, and P. M. Zerwas, Pair production of scalar leptoquarks at the CERN LHC, Phys. Rev. D 71, 057503 (2005).
  100. A. M. Sirunyan et al. (CMS Collaboration), Search for physics beyond the standard model in events with jets and two same-sign or at least three charged leptons in proton-proton collisions at s=13  TeV, Eur. Phys. J. C 80, 752 (2020).

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