- Open Access
Systematic study of lepton-flavor-violating dark matter interactions via indirect detection in effective field theories
Phys. Rev. D 114, 035007 – Published 4 August, 2026
DOI: https://doi.org/10.1103/d762-dbn6
Abstract
Lepton-flavor-violating (LFV) interactions involving dark matter (DM) particles remain a largely unexplored area. In this study, we systematically investigate LFV DM interactions within the framework of effective field theories by analyzing astrophysical photons and positrons produced from DM annihilation. Employing the astrophysical photon and positron data collected by Fermi-LAT, INTEGRAL, XMM-Newton, and AMS-02, we place meaningful constraints on all leading-order effective operators involving a DM pair and a flavor-violating charged lepton pair. Our analysis covers the three well-known DM candidates: a scalar, a fermion, and a vector particle. For the photon flux, we consider contributions from final-state radiation, radiative decay, and inverse Compton scattering and examine their respective sensitivity regions across different DM masses and photon energies. We find that, for DM masses below , INTEGRAL provides the most stringent constraints on annihilation cross sections and effective operators in all three LFV channels, whereas AMS-02 offers the strongest constraints above .
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References (64)
- G. Bertone, D. Hooper, and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rep. 405, 279 (2005).
- J. L. Feng, Dark matter candidates from particle physics and methods of detection, Annu. Rev. Astron. Astrophys. 48, 495 (2010).
- L. Roszkowski, E. M. Sessolo, and S. Trojanowski, WIMP dark matter candidates and searches—current status and future prospects, Rep. Prog. Phys. 81, 066201 (2018).
- G. Arcadi, M. Dutra, P. Ghosh, M. Lindner, Y. Mambrini, M. Pierre, S. Profumo, and F. S. Queiroz, The waning of the WIMP? A review of models, searches, and constraints, Eur. Phys. J. C 78, 203 (2018).
- A. Boveia and C. Doglioni, Dark matter searches at colliders, Annu. Rev. Nucl. Part. Sci. 68, 429 (2018).
- M. Schumann, Direct detection of WIMP dark matter: Concepts and status, J. Phys. G 46, 103003 (2019).
- A. Arbey and F. Mahmoudi, Dark matter and the early Universe: A review, Prog. Part. Nucl. Phys. 119, 103865 (2021).
- M. Cirelli, A. Strumia, and J. Zupan, Dark matter, arXiv:2406.01705.
- Belle-II Collaboration, Evidence for decays, Phys. Rev. D 109, 112006 (2024).
- X.-G. He, X.-D. Ma, and G. Valencia, Revisiting models that enhance in light of the new Belle II measurement, Phys. Rev. D 109, 075019 (2024).
- X.-G. He, X.-D. Ma, M. A. Schmidt, G. Valencia, and R. R. Volkas, Scalar dark matter explanation of the excess in the Belle II invisible measurement, J. High Energy Phys. 07 (2024) 168.
- A. Berezhnoy and D. Melikhov, vs as a probe of a scalar-mediator dark matter scenario, Europhys. Lett. 145, 14001 (2024).
- L. Calibbi, T. Li, L. Mukherjee, and M. A. Schmidt, Is dark matter the origin of the excess at Belle II?, Phys. Rev. D 112, 075020 (2025).
- K. Ding, Y. Li, X. Liu, Y. Liu, C.-T. Lu, and B. Zhu, Resonant ALP-portal dark matter annihilation as a solution to the excess, Phys. Rev. D 112, 115034 (2025).
- Z.-K. Liu, Y. Li, B.-F. Hou, and Q. Chang, Search for light dark matter in rare meson decays, Phys. Rev. D 113, 035030 (2026).
- Z.-j. Tao, Radiative seesaw mechanism at weak scale, Phys. Rev. D 54, 5693 (1996).
- E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73, 077301 (2006).
- H. Acaroğlu, P. Agrawal, and M. Blanke, Lepton-flavoured scalar dark matter in dark minimal flavour violation, J. High Energy Phys. 05 (2023) 106.
- H. Davoudiasl, J. Hoefken Zink, and S. Trojanowski, Flavor blocking of dark matter thermalization in neutron stars, arXiv:2511.05651.
- X.-G. He, X.-D. Ma, and G. Valencia, FCNC and meson decays with light bosonic dark matter, J. High Energy Phys. 03 (2023) 037.
- J.-H. Liang, Y. Liao, X.-D. Ma, and H.-L. Wang, Dark sector effective field theory, J. High Energy Phys. 12 (2023) 172.
- S. Jahedi, Y. Liao, and X.-D. Ma, Charged lepton flavor violating decays with a pair of light dark matter and muonium invisible decay, J. High Energy Phys. 03 (2026) 114.
- J.-H. Liang, Y. Liao, and X.-D. Ma, Probing lepton flavor violating dark matter scenarios via astrophysical photons and positrons, Phys. Rev. D 113, L031701 (2026).
- Fermi-LAT Collaboration, Fermi-LAT observations of the diffuse gamma-ray emission: Implications for cosmic rays and the interstellar medium, Astrophys. J. 750, 3 (2012).
- L. Bouchet, A. W. Strong, T. A. Porter, I. V. Moskalenko, E. Jourdain, and J.-P. Roques, Diffuse emission measurement with INTEGRAL/SPI as indirect probe of cosmic-ray electrons and positrons, Astrophys. J. 739, 29 (2011).
- J. W. Foster, M. Kongsore, C. Dessert, Y. Park, N. L. Rodd, K. Cranmer, and B. R. Safdi, Deep search for decaying dark matter with XMM-Newton Blank-Sky observations, Phys. Rev. Lett. 127, 051101 (2021).
- AMS Collaboration, Towards understanding the origin of cosmic-ray positrons, Phys. Rev. Lett. 122, 041102 (2019).
- J. Brod, A. Gootjes-Dreesbach, M. Tammaro, and J. Zupan, Effective field theory for dark matter direct detection up to dimension seven, J. High Energy Phys. 10 (2018) 065; J. High Energy Phys.07 (2023) 12.
- J. C. Criado, A. Djouadi, M. Perez-Victoria, and J. Santiago, A complete effective field theory for dark matter, J. High Energy Phys. 07 (2021) 081.
- J. Aebischer, W. Altmannshofer, E. E. Jenkins, and A. V. Manohar, Dark matter effective field theory and an application to vector dark matter, J. High Energy Phys. 06 (2022) 086.
- V. Shtabovenko, R. Mertig, and F. Orellana, New developments in feyncalc 9.0, Comput. Phys. Commun. 207, 432 (2016).
- B. Robertson and A. Zentner, Dark matter annihilation rates with velocity-dependent annihilation cross sections, Phys. Rev. D 79, 083525 (2009).
- Y. Zhao, X.-J. Bi, H.-Y. Jia, P.-F. Yin, and F.-R. Zhu, Constraint on the velocity dependent dark matter annihilation cross section from Fermi-LAT observations of dwarf galaxies, Phys. Rev. D 93, 083513 (2016).
- C. A. Argüelles, A. Diaz, A. Kheirandish, A. Olivares-Del-Campo, I. Safa, and A. C. Vincent, Dark matter annihilation to neutrinos, Rev. Mod. Phys. 93, 035007 (2021).
- J. Binney and S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, NJ, 2011).
- F. Ferrer and D. R. Hunter, The impact of the phase-space density on the indirect detection of dark matter, J. Cosmol. Astropart. Phys. 09 (2013) 005.
- J. F. Navarro, C. S. Frenk, and S. D. M. White, The structure of cold dark matter halos, Astrophys. J. 462, 563 (1996).
- J. F. Navarro, C. S. Frenk, and S. D. M. White, A universal density profile from hierarchical clustering, Astrophys. J. 490, 493 (1997).
- M. Cirelli, G. Corcella, A. Hektor, G. Hütsi, M. Kadastik, P. Panci, M. Raidal, F. Sala, and A. Strumia, PPPC 4 DM ID: A poor particle physicist cookbook for dark matter indirect detection, J. Cosmol. Astropart. Phys. 03 (2011) 051; M. Cirelli et al.J. Cosmol. Astropart. Phys.10 (2012) E01.
- T. Lin, Dark matter models and direct detection, Proc. Sci. 333 (2019) 009 [arXiv:1904.07915].
- O. Nicrosini and L. Trentadue, Second order electromagnetic radiative corrections to , Z. Phys. C 39, 479 (1988).
- Y. Kuno and Y. Okada, Muon decay and physics beyond the standard model, Rev. Mod. Phys. 73, 151 (2001).
- C. Bierlich et al., A comprehensive guide to the physics and usage of pythia 8.3, SciPost Phys. Codebases 2022, 8 (2022).
- J. H. Kuhn and A. Santamaria, Tau decays to pions, Z. Phys. C 48, 445 (1990).
- M. Finkemeier and E. Mirkes, The scalar contribution to , Z. Phys. C 72, 619 (1996).
- CLEO Collaboration, Hadronic structure in the decay and the sign of the tau-neutrino helicity, Phys. Rev. D 61, 012002 (2000).
- P. Ilten, Electroweak and Higgs measurements using tau final states with the LHCb detector, Ph.D. thesis, University College, Dublin, 2013, arXiv:1401.4902.
- M. Regis and P. Ullio, Multi-wavelength signals of dark matter annihilations at the Galactic center, Phys. Rev. D 78, 043505 (2008).
- M. Cirelli and P. Panci, Inverse Compton constraints on the dark matter excesses, Nucl. Phys. B 821, 399 (2009).
- M. Cirelli, N. Fornengo, B. J. Kavanagh, and E. Pinetti, Integral x-ray constraints on sub-GeV dark matter, Phys. Rev. D 103, 063022 (2021).
- P. Meade, M. Papucci, A. Strumia, and T. Volansky, Dark matter interpretations of the excesses after FERMI, Nucl. Phys. B831, 178 (2010).
- I. Cholis, G. Dobler, D. P. Finkbeiner, L. Goodenough, and N. Weiner, The case for a GeV WIMP: Cosmic ray spectra from ATIC and PAMELA, Phys. Rev. D 80, 123518 (2009).
- E. Borriello, A. Cuoco, and G. Miele, Secondary radiation from the Pamela/ATIC excess and relevance for Fermi, Astrophys. J. Lett. 699, L59 (2009).
- G. R. Blumenthal and R. J. Gould, Bremsstrahlung, synchrotron radiation, and Compton scattering of high-energy electrons traversing dilute gases, Rev. Mod. Phys. 42, 237 (1970).
- A. E. Vladimirov, S. W. Digel, G. Jóhannesson, P. F. Michelson, I. V. Moskalenko, P. L. Nolan, E. Orlando, T. A. Porter, and A. W. Strong, galprop WebRun: An internet-based service for calculating galactic cosmic ray propagation and associated photon emissions, Comput. Phys. Commun. 182, 1156 (2011).
- https://github.com/bsafdi/XMM_BSO_DATA.
- M. Cirelli, N. Fornengo, J. Koechler, E. Pinetti, and B. M. Roach, Putting all the X in one basket: Updated x-ray constraints on sub-GeV dark matter, J. Cosmol. Astropart. Phys. 07 (2023) 026.
- A. A. Petrov, R. Conlin, and C. Grant, Studying lepton flavor violation with muons, Universe 8, 169 (2022).
- D. Racco, A. Wulzer, and F. Zwirner, Robust collider limits on heavy-mediator dark matter, J. High Energy Phys. 05 (2015) 009.
- T. R. Slatyer, Indirect dark matter signatures in the cosmic dark ages. I. Generalizing the bound on s-wave dark matter annihilation from Planck results, Phys. Rev. D 93, 023527 (2016).
- T. R. Slatyer and C.-L. Wu, General constraints on dark matter decay from the cosmic microwave background, Phys. Rev. D 95, 023010 (2017).
- International Muon Collider Collaboration, The muon collider, arXiv:2504.21417.
- Y. Hamada, R. Kitano, R. Matsudo, H. Takaura, and M. Yoshida, , Prog. Theor. Exp. Phys. 2022, 053B02 (2022).
- K. K. Boddy, J. Kumar, and L. E. Strigari, Effective J -factor of the Galactic Center for velocity-dependent dark matter annihilation, Phys. Rev. D 98, 063012 (2018).