- Open Access
Dark hypercharge symmetry
Phys. Rev. D 113, 055024 – Published 16 March, 2026
DOI: https://doi.org/10.1103/6b21-vql1
Abstract
We introduce a new class of symmetries where all Standard Model fermions are “chiral,” i.e., the left- and right-handed components have different charges under the symmetry. Gauge anomaly cancellation is achieved by introducing three Standard Model gauge singlet dark fermions (; , 2, 3) charged under this symmetry. We systematically present chiral solutions for cases in which (a) one, (b) two, or (c) all three generations of Standard Model fermions are charged under the symmetry. The charges of these dark fermions are uniquely determined by anomaly cancellation conditions. These new fermions belong to the dark sector, with the lightest of them being a good dark matter candidate. Additionally, the gauge boson mediates interactions between the dark and visible sectors, and we call this symmetry as the “dark hypercharge” symmetry. Using a benchmark model, we explore phenomenological implications in the heavy case (), analyzing collider constraints and examining the lightest dark fermion’s viability as dark matter. Our analysis shows that it satisfies all current dark matter constraints over a wide range of dark matter mass.
Physics Subject Headings (PhySH)
Article Text
References (67)
- Y. Fukuda et al. (Super-Kamiokande Collaboration), Evidence for oscillation of atmospheric neutrinos, Phys. Rev. Lett. 81, 1562 (1998).
- Q. R. Ahmad et al. (SNO Collaboration), Direct evidence for neutrino flavor transformation from neutral current interactions in the Sudbury Neutrino Observatory, Phys. Rev. Lett. 89, 011301 (2002).
- F. Zwicky, Die Rotverschiebung von extragalaktischen Nebeln, Helv. Phys. Acta 6, 110 (1933).
- V. C. Rubin and W. K. Ford, Jr., Rotation of the Andromeda Nebula from a spectroscopic survey of emission regions, Astrophys. J. 159, 379 (1970).
- V. C. Rubin, N. Thonnard, and W. K. Ford, Jr., Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605/R = 4 kpc/ to UGC 2885 /R = 122 kpc/, Astrophys. J. 238, 471 (1980).
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- X. G. He, G. C. Joshi, H. Lew, and R. R. Volkas, New Z-prime phenomenology, Phys. Rev. D 43, 22 (1991).
- E. Ma, Gauged and radiative neutrino masses, Phys. Lett. B 433, 74 (1998).
- T. Appelquist, B. A. Dobrescu, and A. R. Hopper, Nonexotic neutral gauge bosons, Phys. Rev. D 68, 035012 (2003).
- J. C. Montero and V. Pleitez, Gauging U(1) symmetries and the number of right-handed neutrinos, Phys. Lett. B 675, 64 (2009).
- H.-S. Lee and E. Ma, Gauged origin of parity and its implications, Phys. Lett. B 688, 319 (2010).
- E. Ma and R. Srivastava, Dirac or inverse seesaw neutrino masses with gauge symmetry and flavor symmetry, Phys. Lett. B 741, 217 (2015).
- E. Ma and R. Srivastava, Dirac or inverse seesaw neutrino masses from gauged symmetry, Mod. Phys. Lett. A 30, 1530020 (2015).
- E. Ma, N. Pollard, R. Srivastava, and M. Zakeri, Gauge model with residual symmetry, Phys. Lett. B 750, 135 (2015).
- A. Das, S. Oda, N. Okada, and D.-S. Takahashi, Classically conformal U(1)’ extended standard model, electroweak vacuum stability, and LHC Run-2 bounds, Phys. Rev. D 93, 115038 (2016).
- C. Bonilla, T. Modak, R. Srivastava, and J. W. F. Valle, gauge symmetry as a simple description of anomalies, Phys. Rev. D 98, 095002 (2018).
- R. Alonso, P. Cox, C. Han, and T. T. Yanagida, Flavoured local symmetry and anomalous rare decays, Phys. Lett. B 774, 643 (2017).
- S. Jana, P. K. Vishnu, and S. Saad, Minimal dirac neutrino mass models from gauge symmetry and left–right asymmetry at colliders, Eur. Phys. J. C 79, 916 (2019).
- V. De Romeri, A. Majumdar, D. K. Papoulias, and R. Srivastava, XENONnT and LUX-ZEPLIN constraints on DSNB-boosted dark matter, J. Cosmol. Astropart. Phys. 03 (2024) 028.
- S. Mandal, H. Prajapati, and R. Srivastava, model in light of the CDF II result, J. Phys. G 52, 105003 (2025).
- D. K. Ghosh, P. Ghosh, S. Jeesun, and R. Srivastava, at CMB challenges light gauge boson scenarios, Phys. Rev. D 110, 075032 (2024).
- S. L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177, 2426 (1969).
- W. A. Bardeen, Anomalous Ward identities in spinor field theories, Phys. Rev. 184, 1848 (1969).
- J. S. Bell and R. Jackiw, A PCAC puzzle: in the model, Nuovo Cimento A 60, 47 (1969).
- R. Delbourgo and A. Salam, The gravitational correction to PCAC, Phys. Lett. 40B, 381 (1972).
- L. Alvarez-Gaume and E. Witten, Gravitational anomalies, Nucl. Phys. B234, 269 (1984).
- E. Witten, An SU(2) anomaly, Phys. Lett. 117B, 324 (1982).
- C. Q. Geng and R. E. Marshak, Uniqueness of quark and lepton representations in the standard model from the anomalies viewpoint, Phys. Rev. D 39, 693 (1989).
- J. A. Minahan, P. Ramond, and R. C. Warner, A comment on anomaly cancellation in the standard model, Phys. Rev. D 41, 715 (1990).
- B. C. Allanach, J. Davighi, and S. Melville, An anomaly-free ATLAS: Charting the space of flavour-dependent gauged extensions of the standard model, J. High Energy Phys. 02 (2019) 082; 08 (2019) 64(E).
- B. Allanach and E. Loisa, Flavonstrahlung in the model at current and future colliders, J. High Energy Phys. 03 (2023) 253.
- Y. Farzan, A model for large non-standard interactions of neutrinos leading to the LMA-dark solution, Phys. Lett. B 748, 311 (2015).
- V. De Romeri, D. K. Papoulias, and C. A. Ternes, Light vector mediators at direct detection experiments, J. High Energy Phys. 05 (2024) 165.
- M. Atzori Corona, M. Cadeddu, N. Cargioli, F. Dordei, C. Giunti, Y. F. Li, E. Picciau, C. A. Ternes, and Y. Y. Zhang, Probing light mediators and through detection of coherent elastic neutrino nucleus scattering at COHERENT, J. High Energy Phys. 05 (2022) 109.
- D. Malayaja, O. Popov, and R. Srivastava, Model for gauged baryon and lepton number symmetries.
- M. P. Bento, H. E. Haber, and J. P. Silva, Classes of complete dark photon models constrained by Z-physics, Phys. Lett. B 850, 138501 (2024).
- M. P. Bento, H. E. Haber, and J. P. Silva, Tree-level unitarity in models, J. High Energy Phys. 10 (2023) 083.
- P. A. Zyla et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
- S. Centelles Chuliá, R. Srivastava, and J. W. F. Valle, Seesaw roadmap to neutrino mass and dark matter, Phys. Lett. B 781, 122 (2018).
- G. Aad et al. (ATLAS Collaboration), Search for high-mass dilepton resonances using of collision data collected at with the ATLAS detector, Phys. Lett. B 796, 68 (2019).
- A. M. Sirunyan et al. (CMS Collaboration), Search for resonant and nonresonant new phenomena in high-mass dilepton final states at , J. High Energy Phys. 07 (2021) 208.
- K. T. Mahanthappa and P. K. Mohapatra, Limits on mixing angle and mass of Z-prime using delta rho and atomic parity violation, Phys. Rev. D 43, 3093 (1991); 44, 1616(E) (1991).
- R. Diener, S. Godfrey, and I. Turan, Constraining extra neutral gauge bosons with atomic parity violation measurements, Phys. Rev. D 86, 115017 (2012).
- E. Accomando, A. Belyaev, J. Fiaschi, K. Mimasu, S. Moretti, and C. Shepherd-Themistocleous, Forward-backward asymmetry as a discovery tool for Z’ bosons at the LHC, J. High Energy Phys. 01 (2016) 127.
- J. Aalbers et al. (LZ Collaboration), Dark matter search results from of exposure of the LUX-ZEPLIN (LZ) experiment, Phys. Rev. Lett. 135, 011802 (2025).
- Z. Bo et al. (PandaX Collaboration), Dark matter search results from exposure of PandaX-4T, Phys. Rev. Lett. 134, 011805 (2025).
- E. Aprile et al. (XENON Collaboration), First dark matter search with nuclear recoils from the XENONnT experiment, Phys. Rev. Lett. 131, 041003 (2023).
- M. G. Aartsen et al. (IceCube Collaboration), Search for annihilating dark matter in the sun with 3 years of IceCube data, Eur. Phys. J. C 77, 146 (2017); 79, 214(E) (2019).
- S. Adrian-Martinez et al. (ANTARES Collaboration), Limits on dark matter annihilation in the sun using the ANTARES neutrino telescope, Phys. Lett. B 759, 69 (2016).
- K. Frankiewicz (Super-Kamiokande Collaboration), Searching for dark matter annihilation into neutrinos with Super-Kamiokande, in Meeting of the APS Division of Particles and Fields (2015), 10, arXiv:1510.07999.
- A. Majumdar, D. K. Papoulias, H. Prajapati, and R. Srivastava, Constraining low scale dark hypercharge symmetry at spallation, reactor and dark matter direct detection experiments, Phys. Rev. D 111, 073006 (2025).
- A. J. Krasznahorkay et al., Observation of anomalous internal pair creation in : A possible indication of a light, neutral boson, Phys. Rev. Lett. 116, 042501 (2016).
- A. J. Krasznahorkay, M. Csatlós, L. Csige, J. Gulyás, A. Krasznahorkay, B. M. Nyakó, I. Rajta, J. Timár, I. Vajda, and N. J. Sas, New anomaly observed in supports the existence of the hypothetical X17 particle, Phys. Rev. C 104, 044003 (2021).
- A. J. Krasznahorkay et al., New anomaly observed in C12 supports the existence and the vector character of the hypothetical X17 boson, Phys. Rev. C 106, L061601 (2022).
- D. Barducci and C. Toni, An updated view on the ATOMKI nuclear anomalies, J. High Energy Phys. 02 (2023) 154; 07 (2023) 168(E).
- F. Bossi et al., Search for a new 17 MeV resonance via annihilation with the PADME Experiment, J. High Energy Phys. 11 (2025) 007.
- F. Arias-Aragón, G. G. di Cortona, E. Nardi, and C. Toni, Combined evidence for the boson after PADME results on resonant production in positron annihilation, arXiv:2504.11439.
- E. Abouzaid et al. (KTeV Collaboration), Measurement of the rare decay , Phys. Rev. D 75, 012004 (2007).
- R. H. Parker, C. Yu, W. Zhong, B. Estey, and H. Müller, Measurement of the fine-structure constant as a test of the standard model, Science 360, 191 (2018).
- I. Adachi et al. (Belle-II Collaboration), Evidence for decays, Phys. Rev. D 109, 112006 (2024).
- F. Staub, Exploring new models in all detail with sarah, Adv. High Energy Phys. 2015, 840780 (2015).
- M. D. Goodsell, S. Liebler, and F. Staub, Generic calculation of two-body partial decay widths at the full one-loop level, Eur. Phys. J. C 77, 758 (2017).
- W. Porod, spheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at colliders, Comput. Phys. Commun. 153, 275 (2003).
- G. Belanger, A. Mjallal, and A. Pukhov, Recasting direct detection limits within micromegas and implication for non-standard dark matter scenarios, Eur. Phys. J. C 81, 239 (2021).
- G. Bélanger, F. Boudjema, A. Pukhov, and A. Semenov, micromegas4.1: Two dark matter candidates, Comput. Phys. Commun. 192, 322 (2015).
- 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.
- G. Altarelli, B. Mele, and M. Ruiz-Altaba, Searching for new heavy vector bosons in colliders, Z. Phys. C 45, 109 (1989); 47, 676(E) (1990).