- Open Access
Signatures of quasi-Dirac neutrinos in diffuse high-energy astrophysical neutrino data
Phys. Rev. D 113, 115004 – Published 2 June, 2026
DOI: https://doi.org/10.1103/2hxm-qpsm
Abstract
Although the sources of astrophysical neutrinos are still unknown, they are believed to be produced by a population of sources in the distant Universe. Measurements of the diffuse, all-sky astrophysical flux can thus be sensitive to flavor- and energy-dependent propagation effects, such as very long–baseline oscillations. These oscillations are present in certain neutrino mass models, such as when neutrinos are quasi-Dirac. Assuming generic models for the source flux, we find that these oscillations can still be resolved even when integrated over wide distributions in source redshift. We use two sets of IceCube all-sky flux measurements, made with muon and all-flavor neutrino samples, to set constraints at the level on quasi-Dirac mass splittings between . Additionally, we find that when the mass-square splittings are different between generations, the quasi-Dirac scenario can explain tensions between the all-flavor and muon-flavor measurements. We consider systematic uncertainties on the source population and find that our results are robust under alternate spectral hypotheses or physical redshift distributions. Our analysis shows that spectral features in the all-sky neutrino measurements provide strong constraints on massive neutrino scenarios and are sensitive to uncharted parameter space.
Physics Subject Headings (PhySH)
Article Text
References (92)
- M. Agostini, G. Benato, J. A. Detwiler, J. Menéndez, and F. Vissani, Toward the discovery of matter creation with neutrinoless decay, Rev. Mod. Phys. 95, 025002 (2023).
- 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 (2025) 216.
- L. Wolfenstein, Different varieties of massive Dirac neutrinos, Nucl. Phys. B186, 147 (1981).
- S. T. Petcov, On pseudodirac neutrinos, neutrino oscillations and neutrinoless double beta decay, Phys. Lett. B 110, 245 (1982).
- J. W. F. Valle and M. Singer, Lepton number violation with quasi Dirac neutrinos, Phys. Rev. D 28, 540 (1983).
- M. Doi, M. Kenmoku, T. Kotani, H. Nishiura, and E. Takasugi, Pseudo Dirac neutrino, Prog. Theor. Phys. 70, 1331 (1983).
- M. Kobayashi and C. S. Lim, Pseudo Dirac scenario for neutrino oscillations, Phys. Rev. D 64, 013003 (2001).
- H. Ooguri and C. Vafa, Non-supersymmetric AdS and the Swampland, Adv. Theor. Math. Phys. 21, 1787 (2017).
- L. E. Ibanez, V. Martin-Lozano, and I. Valenzuela, Constraining neutrino masses, the cosmological constant and BSM physics from the weak gravity conjecture, J. High Energy Phys. 11 (2017) 066.
- Y. Hamada and G. Shiu, Weak gravity conjecture, multiple point principle and the standard model landscape, J. High Energy Phys. 11 (2017) 043.
- E. Gonzalo, L. E. Ibáñez, and I. Valenzuela, Swampland constraints on neutrino masses, J. High Energy Phys. 02 (2022) 088.
- G. F. Casas, L. E. Ibáñez, and F. Marchesano, On small Dirac neutrino masses in string theory, J. High Energy Phys. 01 (2025) 083.
- C. Giunti, C. W. Kim, and U. W. Lee, Oscillations of pseudoDirac neutrinos and the solar neutrino problem, Phys. Rev. D 46, 3034 (1992).
- M. Cirelli, G. Marandella, A. Strumia, and F. Vissani, Probing oscillations into sterile neutrinos with cosmology, astrophysics and experiments, Nucl. Phys. B708, 215 (2005).
- A. de Gouvea, W.-C. Huang, and J. Jenkins, Pseudo-Dirac neutrinos in the new standard model, Phys. Rev. D 80, 073007 (2009).
- G. Anamiati, R. M. Fonseca, and M. Hirsch, Quasi Dirac neutrino oscillations, Phys. Rev. D 97, 095008 (2018).
- A. de Gouvêa, E. McGinness, I. Martinez-Soler, and Y. F. Perez-Gonzalez, pp solar neutrinos at DARWIN, Phys. Rev. D 106, 096017 (2022).
- S. Ansarifard and Y. Farzan, Revisiting pseudo-Dirac neutrino scenario after recent solar neutrino data, Phys. Rev. D 107, 075029 (2023).
- J. Franklin, Y. F. Perez-Gonzalez, and J. Turner, JUNO as a probe of the pseudo-Dirac nature using solar neutrinos, Phys. Rev. D 108, 035010 (2023).
- I. Martinez-Soler, Y. F. Perez-Gonzalez, and M. Sen, Signs of pseudo-Dirac neutrinos in SN1987A data, Phys. Rev. D 105, 095019 (2022).
- A. De Gouvêa, I. Martinez-Soler, Y. F. Perez-Gonzalez, and M. Sen, Fundamental physics with the diffuse supernova background neutrinos, Phys. Rev. D 102, 123012 (2020).
- K. Carloni, I. Martínez-Soler, C. A. Arguelles, K. S. Babu, and P. S. B. Dev, Probing pseudo-Dirac neutrinos with astrophysical sources at IceCube, Phys. Rev. D 109, L051702 (2024).
- R. M. Crocker, F. Melia, and R. R. Volkas, Oscillating neutrinos from the galactic center, Astrophys. J. Suppl. Ser. 130, 339 (2000).
- R. M. Crocker, F. Melia, and R. R. Volkas, Searching for long-wavelength neutrino oscillations in the distorted neutrino spectrum of galactic supernova remnants, Astrophys. J. Suppl. Ser. 141, 147 (2002).
- J. F. Beacom, N. F. Bell, D. Hooper, J. G. Learned, S. Pakvasa, and T. J. Weiler, PseudoDirac neutrinos: A challenge for neutrino telescopes, Phys. Rev. Lett. 92, 011101 (2004).
- P. Keranen, J. Maalampi, M. Myyrylainen, and J. Riittinen, Effects of sterile neutrinos on the ultrahigh-energy cosmic neutrino flux, Phys. Lett. B 574, 162 (2003).
- A. Esmaili, Pseudo-Dirac neutrino scenario: Cosmic neutrinos at neutrino telescopes, Phys. Rev. D 81, 013006 (2010).
- A. Esmaili and Y. Farzan, Implications of the Pseudo-Dirac scenario for ultra high energy neutrinos from GRBs, J. Cosmol. Astropart. Phys. 12 (2012) 014.
- A. S. Joshipura, S. Mohanty, and S. Pakvasa, Pseudo-Dirac neutrinos via a mirror world and depletion of ultrahigh energy neutrinos, Phys. Rev. D 89, 033003 (2014).
- I. M. Shoemaker and K. Murase, Probing BSM neutrino physics with flavor and spectral distortions: Prospects for future high-energy neutrino telescopes, Phys. Rev. D 93, 085004 (2016).
- V. Brdar and R. S. L. Hansen, IceCube flavor ratios with identified astrophysical sources: Towards improving new physics testability, J. Cosmol. Astropart. Phys. 02 (2019) 023.
- C. S. Fong and Y. Porto, Constraining pseudo-Diracness with astrophysical neutrino flavors, Phys. Rev. D 112, 063001 (2025).
- P. S. B. Dev, P. A. N. Machado, and I. Martinez-Soler, Pseudo-Dirac neutrinos and relic neutrino matter effect on the high-energy neutrino flavor composition, Phys. Lett. B 862, 139306 (2025).
- M. MacDonald, K. Carloni, C. A. Argüelles, I. Martínez-Soler, and R. Alves Batista, Exploring new propagation scales with galactic neutrinos, arXiv:2512.10744.
- Y. F. Perez-Gonzalez and M. Sen, From Dirac to Majorana: The cosmic neutrino background capture rate in the minimally extended standard model, Phys. Rev. D 109, 023022 (2024).
- R. Barbieri and A. Dolgov, Bounds on sterile-neutrinos from nucleosynthesis, Phys. Lett. B 237, 440 (1990).
- K. Enqvist, K. Kainulainen, and J. Maalampi, Resonant neutrino transitions and nucleosynthesis, Phys. Lett. B 249, 531 (1990).
- Z. Chen, J. Liao, J. Ling, and B. Yue, Constraining super-light sterile neutrinos at Borexino and KamLAND, J. High Energy Phys. 09 (2022) 004.
- R. Abbasi et al. (IceCube Collaboration), Evidence for neutrino emission from the nearby active galaxy NGC 1068, Science 378, 538 (2022).
- T. Rink and M. Sen, Constraints on pseudo-Dirac neutrinos using high-energy neutrinos from NGC 1068, Phys. Lett. B 851, 138558 (2024).
- K. Dixit, L. S. Miranda, and S. Razzaque, Searching for Pseudo-Dirac neutrinos from astrophysical sources in IceCube data, Eur. Phys. J. C 85, 1481 (2025).
- R. Abbasi et al. (IceCube Collaboration), Evidence for a spectral break or curvature in the spectrum of astrophysical neutrinos from 5 TeV–10 PeV, Phys. Rev. Lett. 136, 121002 (2026).
- R. Abbasi et al. (IceCube Collaboration), Characterization of the astrophysical diffuse neutrino flux using starting track events in IceCube, Phys. Rev. D 110, 022001 (2024).
- Y. Sui and P. S. B. Dev, A combined astrophysical and dark matter interpretation of the IceCube HESE and throughgoing muon events, J. Cosmol. Astropart. Phys. 07 (2018) 020.
- P. B. Denton and I. Tamborra, Invisible neutrino decay could resolve IceCube’s track and cascade tension, Phys. Rev. Lett. 121, 121802 (2018).
- A. Palladino, The flavor composition of astrophysical neutrinos after 8 years of IceCube: An indication of neutron decay scenario?, Eur. Phys. J. C 79, 500 (2019).
- A. Abdullahi and P. B. Denton, Visible decay of astrophysical neutrinos at IceCube, Phys. Rev. D 102, 023018 (2020).
- L. M. G. de la Vega, E. Peinado, and J. Wudka, solution to the IceCube ultrahigh-energy neutrino deficit in light of NA64, Phys. Rev. D 110, 095032 (2024).
- R. Abbasi et al. (IceCube Collaboration), Improved measurements of the TeV–PeV extragalactic neutrino spectrum from joint analyses of IceCube tracks and cascades, Phys. Rev. D 113, 062002 (2026).
- M. G. Aartsen et al. (IceCube Collaboration), Characteristics of the diffuse astrophysical electron and tau neutrino flux with six years of IceCube high energy cascade data, Phys. Rev. Lett. 125, 121104 (2020).
- D. Chang and O. C. W. Kong, Pseudo-Dirac neutrinos, Phys. Lett. B 477, 416 (2000).
- Y. Nir, PseudoDirac solar neutrinos, J. High Energy Phys. 06 (2000) 039.
- A. S. Joshipura and S. D. Rindani, Phenomenology of pseudoDirac neutrinos, Phys. Lett. B 494, 114 (2000).
- M. Lindner, T. Ohlsson, and G. Seidl, Seesaw mechanisms for Dirac and Majorana neutrino masses, Phys. Rev. D 65, 053014 (2002).
- K. R. S. Balaji, A. Kalliomaki, and J. Maalampi, Revisiting pseudoDirac neutrinos, Phys. Lett. B 524, 153 (2002).
- G. J. Stephenson, Jr., J. T. Goldman, B. H. J. McKellar, and M. Garbutt, Large mixing from small: PseudoDirac neutrinos and the singular seesaw, Int. J. Mod. Phys. A 20, 6373 (2005).
- K. L. McDonald and B. H. J. McKellar, The type-II singular see-saw mechanism, Int. J. Mod. Phys. A 22, 2211 (2007).
- Y. H. Ahn, S. K. Kang, and C. S. Kim, A model for Pseudo-Dirac neutrinos: Leptogenesis and ultra-high energy neutrinos, J. High Energy Phys. 10 (2016) 092.
- K. S. Babu, X.-G. He, M. Su, and A. Thapa, Naturally light Dirac and pseudo-Dirac neutrinos from left-right symmetry, J. High Energy Phys. 08 (2022) 140.
- C. S. Fong, T. Gregoire, and A. Tonero, Testing quasi-Dirac leptogenesis through neutrino oscillations, Phys. Lett. B 816, 136175 (2021).
- M. Chianese, P. Di Bari, K. Farrag, and R. Samanta, Probing relic neutrino radiative decays with 21 cm cosmology, Phys. Lett. B 790, 64 (2019).
- P. S. B. Dev, P. Di Bari, I. Martínez-Soler, and R. Roshan, Relic neutrino decay solution to the excess radio background, J. Cosmol. Astropart. Phys. 04 (2024) 046.
- J. Kersten and A. Y. Smirnov, Decoherence and oscillations of supernova neutrinos, Eur. Phys. J. C 76, 339 (2016).
- F. Capel, D. J. Mortlock, and C. Finley, Bayesian constraints on the astrophysical neutrino source population from IceCube data, Phys. Rev. D 101, 123017 (2020); 105, 129904(E) (2022).
- M. Elías-Chávez and O. M. Martínez, Estimation of the star formation rate using long-gamma ray burst observed by SWIFT, Rev. Mex. Astron. Astrofis. 54, 309 (2018).
- K. M. Groth and M. Ahlers, Deciphering the sources of cosmic neutrinos, Phys. Rev. D 111, 103052 (2025).
- 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, J. High Energy Phys. 09 (2020) 178.
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- R. W. Rasmussen, L. Lechner, M. Ackermann, M. Kowalski, and W. Winter, Astrophysical neutrinos flavored with beyond the standard model physics, Phys. Rev. D 96, 083018 (2017).
- C. A. Argüelles, M. Bustamante, A. Kheirandish, S. Palomares-Ruiz, J. Salvado, and A. C. Vincent, Fundamental physics with high-energy cosmic neutrinos today and in the future, Proc. Sci. ICRC2019 (2020) 849.
- P. B. Pal and L. Wolfenstein, Radiative decays of massive neutrinos, Phys. Rev. D 25, 766 (1982).
- J. F. Beacom, N. F. Bell, D. Hooper, S. Pakvasa, and T. J. Weiler, Decay of high-energy astrophysical neutrinos, Phys. Rev. Lett. 90, 181301 (2003).
- M. Maltoni and W. Winter, Testing neutrino oscillations plus decay with neutrino telescopes, J. High Energy Phys. 07 (2008) 064.
- L. Dorame, O. G. Miranda, and J. W. F. Valle, Invisible decays of ultra-high energy neutrinos, Front. Phys. 1, 25 (2013).
- N. Song, S. W. Li, C. A. Argüelles, M. Bustamante, and A. C. Vincent, The future of high-energy astrophysical neutrino flavor measurements, J. Cosmol. Astropart. Phys. 04 (2021) 054.
- Q. Liu, D. F. G. Fiorillo, C. A. Argüelles, M. Bustamante, N. Song, and A. C. Vincent, Identifying energy-dependent flavor transitions in high-energy astrophysical neutrino measurements, Phys. Rev. D 112, 043019 (2025).
- V. B. Valera, D. F. G. Fiorillo, I. Esteban, and M. Bustamante, New limits on neutrino decay from high-energy astrophysical neutrinos, Phys. Rev. D 110, 043004 (2024).
- P. F. de Salas, R. A. Lineros, and M. Tórtola, Neutrino propagation in the Galactic dark matter halo, Phys. Rev. D 94, 123001 (2016).
- Y. Farzan and S. Palomares-Ruiz, Flavor of cosmic neutrinos preserved by ultralight dark matter, Phys. Rev. D 99, 051702 (2019).
- F. Capozzi, I. M. Shoemaker, and L. Vecchi, Neutrino oscillations in dark backgrounds, J. Cosmol. Astropart. Phys. 07 (2018) 004.
- C. A. Argüelles, K. Farrag, and T. Katori, Ultra-light dark matter limits from astrophysical neutrino flavor, arXiv:2404.10926.
- S. Ando, M. Kamionkowski, and I. Mocioiu, Neutrino oscillations, Lorentz/CPT violation, and dark energy, Phys. Rev. D 80, 123522 (2009).
- C. A. Argüelles, T. Katori, and J. Salvado, New physics in astrophysical neutrino flavor, Phys. Rev. Lett. 115, 161303 (2015).
- N. Klop and S. Ando, Effects of a neutrino-dark energy coupling on oscillations of high-energy neutrinos, Phys. Rev. D 97, 063006 (2018).
- B. Telalovic and M. Bustamante, Flavor anisotropy in the high-energy astrophysical neutrino sky, J. Cosmol. Astropart. Phys. 05 (2025) 013.
- B. Telalovic and M. Bustamante, No flavor anisotropy in the high-energy neutrino sky upholds Lorentz invariance, J. High Energy Phys. 02 (2026) 024.
- M. Escudero and M. Fairbairn, Cosmological constraints on invisible neutrino decays revisited, Phys. Rev. D 100, 103531 (2019).
- M. Escudero, J. Lopez-Pavon, N. Rius, and S. Sandner, Relaxing cosmological neutrino mass bounds with unstable neutrinos, J. High Energy Phys. 12 (2020) 119.
- G. Barenboim, J. Z. Chen, S. Hannestad, I. M. Oldengott, T. Tram, and Y. Y. Y. Wong, Invisible neutrino decay in precision cosmology, J. Cosmol. Astropart. Phys. 03 (2021) 087.
- M. G. Aartsen et al. (IceCube Collaboration), Neutrino interferometry for high-precision tests of Lorentz symmetry with IceCube, Nat. Phys. 14, 961 (2018).
- R. Abbasi et al. (IceCube Collaboration), Search for quantum gravity using astrophysical neutrino flavour with IceCube, Nat. Phys. 18, 1287 (2022).
- https://github.com/kcarloni/Diffuse_Astro_QDnos.git.