- Open Access
Importance of unitarity in the search for heavy neutrinos in
Phys. Rev. D 114, 055001 – Published 1 September, 2026
DOI: https://doi.org/10.1103/p5nw-316c
Abstract
We study the process with the aim of estimating the prospects for observing heavy neutrino contributions at future -colliders. In this work, we consider two implementations of heavy-light neutrino mixing: a linearized mixing approximation applied in popular models and an exact unitary mixing scheme. We conclude that the approximate realization leads to physically incorrect results for this process, while exact unitary mixing provides some signatures that can be experimentally checked.
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References (42)
- A. I. Vainshtein and I. B. Khriplovich, On the zero-mass limit and renormalizability in the theory of massive Yang-Mills field, Yad. Fiz. 13, 198 (1971).
- Steven Weinberg, Physical processes in a convergent theory of the weak and electromagnetic interactions, Phys. Rev. Lett. 27, 1688 (1971).
- E. B. Bogomolnyi, Renormalizable models of weak interaction and neutral scalar meson, Yad. Fiz. 18, 574 (1973).
- L. B. Okun, Weak interaction at high energies. Unified theory of weak and electromagnetic interactions, in Proceedings of the First ITEP Winter School, Moscow, 1973 (Atomizdata, Moscow, 1973) (In Russian).
- Lev B. Okun, Leptons and Quarks: Special Edition Commemorating the Discovery of the Higgs Boson (North-Holland, Amsterdam, Netherlands, 1982).
- Michael E. Peskin and Daniel V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, USA, 1995).
- Aram Hayrapetyan et al., Search for long-lived heavy neutral leptons with lepton flavour conserving or violating decays to a jet and a charged lepton, J. High Energy Phys. 03 (2024) 105.
- Aram Hayrapetyan et al., Search for long-lived heavy neutral leptons in proton-proton collision events with a lepton-jet pair associated with a secondary vertex at , J. High Energy Phys. 02 (2025) 036.
- Aram Hayrapetyan et al., Search for heavy neutral leptons in final states with electrons, muons, and hadronically decaying tau leptons in proton-proton collisions at , J. High Energy Phys. 06 (2024) 123.
- Aram Hayrapetyan et al., Search for long-lived heavy neutral leptons decaying in the CMS muon detectors in proton-proton collisions at s=13 TeV, Phys. Rev. D 110, 012004 (2024).
- Georges Aad et al., Search for heavy right-handed Majorana neutrinos in the decay of top quarks produced in proton-proton collisions at s=13 TeV with the ATLAS detector, Phys. Rev. D 110, 112004 (2024).
- Peter Minkowski, at a rate of one out of muon decays?, Phys. Lett. 67B, 421 (1977).
- Murray Gell-Mann, Pierre Ramond, and Richard Slansky, Complex spinors and unified theories, Conf. Proc. C 790927, 315 (1979).
- Tsutomu Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131, 95 (1979).
- Rabindra N. Mohapatra and Goran Senjanovic, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44, 912 (1980).
- Takehiko Asaka and Takanao Tsuyuki, Seesaw mechanism at electron-electron colliders, Phys. Rev. D 92, 094012 (2015).
- A. Drutskoy and E. Vasenin, Simulation of the process with the heavy right-handed neutrino exchange at 1 TeV future lepton colliders, Phys. Rev. D 111, 015025 (2025).
- Silvia Pascoli, Richard Ruiz, and Cedric Weiland, Heavy neutrinos with dynamic jet vetoes: Multilepton searches at , 27, and 100 TeV, J. High Energy Phys. 06 (2019) 049.
- Neil D. Christensen and Claude Duhr, FeynRules—Feynman rules made easy, Comput. Phys. Commun. 180, 1614 (2009).
- Adam Alloul, Neil D. Christensen, Céline Degrande, Claude Duhr, and Benjamin Fuks, FeynRules 2.0—a complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185, 2250 (2014).
- 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.
- Waleed Abdallah et al., CEPC technical design report: Accelerator, Radiat. Detect. Technol. Methods 8, 1 (2024); 9, 184(E) (2025).
- M. Benedikt et al., Future circular collider feasibility study report: Volume 1, Physics, Experiments, Detectors, Eur. Phys. J. C 85, 1468 (2025).
- Alexander Aryshev et al., The International Linear Collider: Report to Snowmass 2021, arXiv:2203.07622.
- T. K. Charles et al., The Compact Linear Collider (CLIC)—2018 summary report, CERN Yellow Rep. Monogr. 2, 1 (2018).
- Carlotta Accettura et al., The muon collider, arXiv:2504.21417.
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics, Volume 4 of Course of Theoretical Physics (Pergamon New York, 1982).
- Amand Faessler, Marcela González, Sergey Kovalenko, and Fedor Šimkovic, Arbitrary mass Majorana neutrinos in neutrinoless double beta decay, Phys. Rev. D 90, 096010 (2014).
- M. Agostini, G. R. Araujo, A. M. Bakalyarov, M. Balata, I. Barabanov et al., Final results of Gerda on the search for neutrinoless double- decay, Phys. Rev. Lett. 125, 252502 (2020).
- S. Abe et al., Search for Majorana neutrinos with the complete KamLAND-Zen dataset, Phys. Rev. Lett. 135, 262501 (2025).
- Ivan Esteban, M. C. Gonzalez-Garcia, Michele Maltoni, Ivan Martinez-Soler, João Paulo Pinheiro, and Thomas Schwetz, NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 12 (2024) 216.
- Enrique Fernandez-Martinez, Josu Hernandez-Garcia, and Jacobo Lopez-Pavon, Global constraints on heavy neutrino mixing, J. High Energy Phys. 08 (2016) 033.
- Georges Aad et al., Search for heavy Majorana neutrinos in and final states via WW scattering in pp collisions at s=13 TeV with the ATLAS detector, Phys. Lett. B 856, 138865 (2024).
- Jörn Kersten and Alexei Yu. Smirnov, Right-handed neutrinos at CERN LHC and the mechanism of neutrino mass generation, Phys. Rev. D 76, 073005 (2007).
- G. A. Chachava and S. I. Godunov, Searching for heavy neutrinos in : It is all about unitarity (2026), https://arxiv.org/src/2604.04254.
- Naoki Yamatsu, Shuichiro Funatsu, Hisaki Hatanaka, Yutaka Hosotani, and Yuta Orikasa, W and Z boson pair production at electron-positron colliders in gauge-Higgs unification, Phys. Rev. D 108, 115014 (2023).
- Vladyslav Shtabovenko, Rolf Mertig, and Frederik Orellana, feyncalc 10: Do multiloop integrals dream of computer codes?, Comput. Phys. Commun. 306, 109357 (2025).
- E. Gabrielli, A. Lind, L. Marzola, K. Müürsepp, and E. Nardi, Testing the unitarity of the light neutrino mixing matrix, Phys. Rev. D 114, 015026 (2026).
- Anupama Atre, Tao Han, Silvia Pascoli, and Bin Zhang, The search for heavy Majorana neutrinos, J. High Energy Phys. 05 (2009) 030.
- Armen Tumasyan et al., Probing heavy Majorana neutrinos and the Weinberg operator through vector boson fusion processes in proton-proton collisions at , Phys. Rev. Lett. 131, 011803 (2023).
- Stefan Antusch and Oliver Fischer, Testing sterile neutrino extensions of the standard model at future lepton colliders, J. High Energy Phys. 05 (2015) 053.