Abstract
Multi-component dark matter scenarios are studied in the model with U(1)X dark gauge symmetry that is broken into its product subgroup Z2 × Z3 á la Krauss-Wilczek mechanism. In this setup, there exist two types of dark matter fields, X and Y, distinguished by different Z2 × Z3 charges. The real and imaginary parts of the Z2-charged field, XR and XI, get different masses from the U(1)X symmetry breaking. The field Y, which is another dark matter candidate due to the unbroken Z3 symmetry, belongs to the Strongly Interacting Massive Particle (SIMP)-type dark matter. Both XI and XR may contribute to Y’s 3 → 2 annihilation processes, opening a new class of SIMP models with a local dark gauge symmetry. Depending on the mass difference between XI and XR, we have either two-component or three-component dark matter scenarios. In particular two- or three-component SIMP scenarios can be realised not only for small mass difference between X and Y, but also for large mass hierarchy between them, which is a new and unique feature of the present model. We consider both theoretical and experimental constraints, and present four case studies of the multi-component dark matter scenarios.
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G. Arcadi et al., The waning of the WIMP? A review of models, searches, and constraints, Eur. Phys. J. C 78 (2018) 203 [arXiv:1703.07364] [INSPIRE].
L. Roszkowski, E.M. Sessolo and S. Trojanowski, WIMP dark matter candidates and searches — current status and future prospects, Rept. Prog. Phys. 81 (2018) 066201 [arXiv:1707.06277] [INSPIRE].
Y. Hochberg, E. Kuflik, T. Volansky and J.G. Wacker, Mechanism for thermal relic dark matter of strongly interacting massive particles, Phys. Rev. Lett. 113 (2014) 171301 [arXiv:1402.5143] [INSPIRE].
Y. Hochberg, E. Kuflik, H. Murayama, T. Volansky and J.G. Wacker, Model for thermal relic dark matter of strongly interacting massive particles, Phys. Rev. Lett. 115 (2015) 021301 [arXiv:1411.3727] [INSPIRE].
N. Bernal, C. Garcia-Cely and R. Rosenfeld, WIMP and SIMP dark matter from the spontaneous breaking of a global group, JCAP 04 (2015) 012 [arXiv:1501.01973] [INSPIRE].
H.M. Lee and M.-S. Seo, Communication with SIMP dark mesons via Z′-portal, Phys. Lett. B 748 (2015) 316 [arXiv:1504.00745] [INSPIRE].
S.-M. Choi and H.M. Lee, SIMP dark matter with gauged Z3 symmetry, JHEP 09 (2015) 063 [arXiv:1505.00960] [INSPIRE].
Y. Hochberg, E. Kuflik and H. Murayama, SIMP spectroscopy, JHEP 05 (2016) 090 [arXiv:1512.07917] [INSPIRE].
S.-M. Choi and H.M. Lee, Resonant SIMP dark matter, Phys. Lett. B 758 (2016) 47 [arXiv:1601.03566] [INSPIRE].
S.-M. Choi, Y.-J. Kang and H.M. Lee, On thermal production of self-interacting dark matter, JHEP 12 (2016) 099 [arXiv:1610.04748] [INSPIRE].
U.K. Dey, T.N. Maity and T.S. Ray, Light dark matter through assisted annihilation, JCAP 03 (2017) 045 [arXiv:1612.09074] [INSPIRE].
S.-M. Choi, H.M. Lee and M.-S. Seo, Cosmic abundances of SIMP dark matter, JHEP 04 (2017) 154 [arXiv:1702.07860] [INSPIRE].
S.-M. Choi et al., Vector SIMP dark matter, JHEP 10 (2017) 162 [arXiv:1707.01434] [INSPIRE].
S.-M. Choi, H.M. Lee, P. Ko and A. Natale, Resolving phenomenological problems with strongly-interacting-massive-particle models with dark vector resonances, Phys. Rev. D 98 (2018) 015034 [arXiv:1801.07726] [INSPIRE].
Y. Hochberg, E. Kuflik and H. Murayama, Twin Higgs model with strongly interacting massive particle dark matter, Phys. Rev. D 99 (2019) 015005 [arXiv:1805.09345] [INSPIRE].
U.K. Dey, T.N. Maity and T.S. Ray, Boosting assisted annihilation for a cosmologically safe MeV scale dark matter, Phys. Rev. D 99 (2019) 095025 [arXiv:1812.11418] [INSPIRE].
S.-M. Choi, H.M. Lee, Y. Mambrini and M. Pierre, Vector SIMP dark matter with approximate custodial symmetry, JHEP 07 (2019) 049 [arXiv:1904.04109] [INSPIRE].
T.N. Maity and T.S. Ray, Resonant assisted annihilation, JCAP 11 (2019) 033 [arXiv:1907.08262] [INSPIRE].
S.-M. Choi, J. Kim, H.M. Lee and B. Zhu, Connecting between inflation and dark matter in models with gauged Z3 symmetry, JHEP 06 (2020) 135 [arXiv:2003.11823] [INSPIRE].
A. Katz, E. Salvioni and B. Shakya, Split SIMPs with decays, JHEP 10 (2020) 049 [arXiv:2006.15148] [INSPIRE].
S. Tulin and H.-B. Yu, Dark matter self-interactions and small scale structure, Phys. Rept. 730 (2018) 1 [arXiv:1705.02358] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, Singlet portal extensions of the standard seesaw models to a dark sector with local dark symmetry, JHEP 07 (2013) 013 [arXiv:1303.4280] [INSPIRE].
P. Ko and Y. Tang, Self-interacting scalar dark matter with local Z3 symmetry, JCAP 05 (2014) 047 [arXiv:1402.6449] [INSPIRE].
P. Ko and Y. Omura, Supersymmetric U(1)B × U(1)L model with leptophilic and leptophobic cold dark matters, Phys. Lett. B 701 (2011) 363 [arXiv:1012.4679] [INSPIRE].
A. Drozd, B. Grzadkowski and J. Wudka, Multi-scalar-singlet extension of the Standard Model — the case for dark matter and an invisible Higgs boson, JHEP 04 (2012) 006 [Erratum ibid. 11 (2014) 130] [arXiv:1112.2582] [INSPIRE].
M. Aoki, M. Duerr, J. Kubo and H. Takano, Multi-component dark matter systems and their observation prospects, Phys. Rev. D 86 (2012) 076015 [arXiv:1207.3318] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, Hidden sector monopole, vector dark matter and dark radiation with Higgs portal, JCAP 10 (2014) 067 [arXiv:1311.1035] [INSPIRE].
P. Ko and Y. Tang, νΛMDM: a model for sterile neutrino and dark matter reconciles cosmological and neutrino oscillation data after BICEP2, Phys. Lett. B 739 (2014) 62 [arXiv:1404.0236] [INSPIRE].
L. Bian, T. Li, J. Shu and X.-C. Wang, Two component dark matter with multi-Higgs portals, JHEP 03 (2015) 126 [arXiv:1412.5443] [INSPIRE].
A. Karam and K. Tamvakis, Dark matter and neutrino masses from a scale-invariant multi-Higgs portal, Phys. Rev. D 92 (2015) 075010 [arXiv:1508.03031] [INSPIRE].
A. Karam and K. Tamvakis, Dark matter from a classically scale-invariant SU(3)X, Phys. Rev. D 94 (2016) 055004 [arXiv:1607.01001] [INSPIRE].
S. Bhattacharya, P. Poulose and P. Ghosh, Multipartite interacting scalar dark matter in the light of updated LUX data, JCAP 04 (2017) 043 [arXiv:1607.08461] [INSPIRE].
P. Ko and Y. Tang, Residual non-Abelian dark matter and dark radiation, Phys. Lett. B 768 (2017) 12 [arXiv:1609.02307] [INSPIRE].
M. Aoki and T. Toma, Implications of two-component dark matter induced by forbidden channels and thermal freeze-out, JCAP 01 (2017) 042 [arXiv:1611.06746] [INSPIRE].
A. Ahmed, M. Duch, B. Grzadkowski and M. Iglicki, Multi-component dark matter: the vector and fermion case, Eur. Phys. J. C 78 (2018) 905 [arXiv:1710.01853] [INSPIRE].
M. Aoki and T. Toma, Boosted self-interacting dark matter in a multi-component dark matter model, JCAP 10 (2018) 020 [arXiv:1806.09154] [INSPIRE].
S. Chakraborti and P. Poulose, Interplay of scalar and fermionic components in a multi-component dark matter scenario, Eur. Phys. J. C 79 (2019) 420 [arXiv:1808.01979] [INSPIRE].
A. Poulin and S. Godfrey, Multicomponent dark matter from a hidden gauged SU(3), Phys. Rev. D 99 (2019) 076008 [arXiv:1808.04901] [INSPIRE].
S. Yaser Ayazi and A. Mohamadnejad, Scale-invariant two component dark matter, Eur. Phys. J. C 79 (2019) 140 [arXiv:1808.08706] [INSPIRE].
S. Chakraborti, A. Dutta Banik and R. Islam, Probing multicomponent extension of inert doublet model with a vector dark matter, Eur. Phys. J. C 79 (2019) 662 [arXiv:1810.05595] [INSPIRE].
S. Bhattacharya, P. Ghosh, A.K. Saha and A. Sil, Two component dark matter with inert Higgs doublet: neutrino mass, high scale validity and collider searches, JHEP 03 (2020) 090 [arXiv:1905.12583] [INSPIRE].
C.-R. Chen, Y.-X. Lin, C.S. Nugroho, R. Ramos, Y.-L.S. Tsai and T.-C. Yuan, Complex scalar dark matter in the gauged two-Higgs-doublet model, Phys. Rev. D 101 (2020) 035037 [arXiv:1910.13138] [INSPIRE].
C.E. Yaguna and Ó. Zapata, Multi-component scalar dark matter from a ZN symmetry: a systematic analysis, JHEP 03 (2020) 109 [arXiv:1911.05515] [INSPIRE].
T. Hur, D.-W. Jung, P. Ko and J.Y. Lee, Electroweak symmetry breaking and cold dark matter from strongly interacting hidden sector, Phys. Lett. B 696 (2011) 262 [arXiv:0709.1218] [INSPIRE].
P. Ko, Electroweak symmetry breaking and cold dark matter from hidden sector technicolor, Int. J. Mod. Phys. A 23 (2008) 3348 [arXiv:0801.4284] [INSPIRE].
P. Ko, Electroweak symmetry breaking and cold dark matter from hidden sector strong interaction, AIP Conf. Proc. 1178 (2009) 37 [INSPIRE].
Y. Bai and R.J. Hill, Weakly interacting stable pions, Phys. Rev. D 82 (2010) 111701 [arXiv:1005.0008] [INSPIRE].
P. Ko, Electroweak symmetry breaking and cold dark matter from strongly interacting hidden sector, PoS ICHEP2010 (2010) 436 [arXiv:1012.0103] [INSPIRE].
T. Hur and P. Ko, Scale invariant extension of the standard model with strongly interacting hidden sector, Phys. Rev. Lett. 106 (2011) 141802 [arXiv:1103.2571] [INSPIRE].
Y. Bai and P. Schwaller, Scale of dark QCD, Phys. Rev. D 89 (2014) 063522 [arXiv:1306.4676] [INSPIRE].
H. Hatanaka, D.-W. Jung and P. Ko, AdS/QCD approach to the scale-invariant extension of the standard model with a strongly interacting hidden sector, JHEP 08 (2016) 094 [arXiv:1606.02969] [INSPIRE].
L.M. Krauss and F. Wilczek, Discrete gauge symmetry in continuum theories, Phys. Rev. Lett. 62 (1989) 1221 [INSPIRE].
S. Baek, P. Ko and W.-I. Park, Local Z2 scalar dark matter model confronting galactic GeV-scale γ-ray, Phys. Lett. B 747 (2015) 255 [arXiv:1407.6588] [INSPIRE].
S. Baek, J. Kim and P. Ko, XENON1T excess in local Z2 DM models with light dark sector, Phys. Lett. B 810 (2020) 135848 [arXiv:2006.16876] [INSPIRE].
D.W. Kang, P. Ko and C.-T. Lu, Exploring properties of long-lived particles in inelastic dark matter models at Belle II, JHEP 04 (2021) 269 [arXiv:2101.02503] [INSPIRE].
P. Ko and Y. Tang, Galactic center γ-ray excess in hidden sector DM models with dark gauge symmetries: local Z3 symmetry as an example, JCAP 01 (2015) 023 [arXiv:1407.5492] [INSPIRE].
J. Guo, Z. Kang, P. Ko and Y. Orikasa, Accidental dark matter: case in the scale invariant local B-L model, Phys. Rev. D 91 (2015) 115017 [arXiv:1502.00508] [INSPIRE].
P. Ko and Y. Tang, Semi-annihilating Z3 dark matter for XENON1T excess, Phys. Lett. B 815 (2021) 136181 [arXiv:2006.15822] [INSPIRE].
K.S. Babu, C.F. Kolda and J. March-Russell, Implications of generalized Z-Z′ mixing, Phys. Rev. D 57 (1998) 6788 [hep-ph/9710441] [INSPIRE].
N. Sabti, J. Alvey, M. Escudero, M. Fairbairn and D. Blas, Refined bounds on MeV-scale thermal dark sectors from BBN and the CMB, JCAP 01 (2020) 004 [arXiv:1910.01649] [INSPIRE].
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 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
A. Belyaev, N.D. Christensen and A. Pukhov, CalcHEP 3.4 for collider physics within and beyond the Standard Model, Comput. Phys. Commun. 184 (2013) 1729 [arXiv:1207.6082] [INSPIRE].
P. Gondolo, J. Hisano and K. Kadota, The effect of quark interactions on dark matter kinetic decoupling and the mass of the smallest dark halos, Phys. Rev. D 86 (2012) 083523 [arXiv:1205.1914] [INSPIRE].
E. Kuflik, M. Perelstein, N.R.-L. Lorier and Y.-D. Tsai, Elastically decoupling dark matter, Phys. Rev. Lett. 116 (2016) 221302 [arXiv:1512.04545] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [INSPIRE].
CMS collaboration, Search for invisible decays of a Higgs boson produced through vector boson fusion in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 793 (2019) 520 [arXiv:1809.05937] [INSPIRE].
R. Essig, T. Volansky and T.-T. Yu, New constraints and prospects for sub-GeV dark matter scattering off electrons in xenon, Phys. Rev. D 96 (2017) 043017 [arXiv:1703.00910] [INSPIRE].
XENON collaboration, Search for light dark matter interactions enhanced by the migdal effect or bremsstrahlung in XENON1T, Phys. Rev. Lett. 123 (2019) 241803 [arXiv:1907.12771] [INSPIRE].
XENON collaboration, Light dark matter search with ionization signals in XENON1T, Phys. Rev. Lett. 123 (2019) 251801 [arXiv:1907.11485] [INSPIRE].
M. Battaglieri et al., U.S. cosmic visions: new ideas in dark matter 2017. Community report, in U.S. cosmic visions: new ideas in dark matter, (2017) [arXiv:1707.04591] [INSPIRE].
BaBar collaboration, Search for a dark photon in e+e− collisions at BaBar, Phys. Rev. Lett. 113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
BaBar collaboration, Search for invisible decays of a dark photon produced in e+e− collisions at BaBar, Phys. Rev. Lett. 119 (2017) 131804 [arXiv:1702.03327] [INSPIRE].
R. Essig, J. Mardon, M. Papucci, T. Volansky and Y.-M. Zhong, Constraining light dark matter with low-energy e+e− colliders, JHEP 11 (2013) 167 [arXiv:1309.5084] [INSPIRE].
NA64 collaboration, Improved limits on a hypothetical X (16.7) boson and a dark photon decaying into e+e− pairs, Phys. Rev. D 101 (2020) 071101 [arXiv:1912.11389] [INSPIRE].
S.N. Gninenko, D.V. Kirpichnikov, M.M. Kirsanov and N.V. Krasnikov, Combined search for light dark matter with electron and muon beams at NA64, Phys. Lett. B 796 (2019) 117 [arXiv:1903.07899] [INSPIRE].
SHiP collaboration, Sensitivity of the SHiP experiment to light dark matter, JHEP 04 (2021) 199 [arXiv:2010.11057] [INSPIRE].
J.D. Bjorken et al., Search for neutral metastable penetrating particles produced in the SLAC beam dump, Phys. Rev. D 38 (1988) 3375 [INSPIRE].
M. Davier and H. Nguyen Ngoc, An unambiguous search for a light Higgs boson, Phys. Lett. B 229 (1989) 150 [INSPIRE].
S. Andreas, C. Niebuhr and A. Ringwald, New limits on hidden photons from past electron beam dumps, Phys. Rev. D 86 (2012) 095019 [arXiv:1209.6083] [INSPIRE].
L. Marsicano et al., Dark photon production through positron annihilation in beam-dump experiments, Phys. Rev. D 98 (2018) 015031 [arXiv:1802.03794] [INSPIRE].
D.N. Spergel and P.J. Steinhardt, Observational evidence for selfinteracting cold dark matter, Phys. Rev. Lett. 84 (2000) 3760 [astro-ph/9909386] [INSPIRE].
O.D. Elbert, J.S. Bullock, S. Garrison-Kimmel, M. Rocha, J. Oñorbe and A.H.G. Peter, Core formation in dwarf haloes with self-interacting dark matter: no fine-tuning necessary, Mon. Not. Roy. Astron. Soc. 453 (2015) 29 [arXiv:1412.1477] [INSPIRE].
X. Chu, C. Garcia-Cely and H. Murayama, Velocity dependence from resonant self-interacting dark matter, Phys. Rev. Lett. 122 (2019) 071103 [arXiv:1810.04709] [INSPIRE].
M. Markevitch et al., Direct constraints on the dark matter self-interaction cross-section from the merging galaxy cluster 1E0657-56, Astrophys. J. 606 (2004) 819 [astro-ph/0309303] [INSPIRE].
D. Clowe, A. Gonzalez and M. Markevitch, Weak lensing mass reconstruction of the interacting cluster 1E0657-558: direct evidence for the existence of dark matter, Astrophys. J. 604 (2004) 596 [astro-ph/0312273] [INSPIRE].
S.W. Randall, M. Markevitch, D. Clowe, A.H. Gonzalez and M. Bradac, Constraints on the self-interaction cross-section of dark matter from numerical simulations of the merging galaxy cluster 1E0657-56, Astrophys. J. 679 (2008) 1173 [arXiv:0704.0261] [INSPIRE].
M. Rocha et al., Cosmological simulations with self-interacting dark matter I: constant density cores and substructure, Mon. Not. Roy. Astron. Soc. 430 (2013) 81 [arXiv:1208.3025] [INSPIRE].
A.H.G. Peter, M. Rocha, J.S. Bullock and M. Kaplinghat, Cosmological simulations with self-interacting dark matter II: halo shapes vs. observations, Mon. Not. Roy. Astron. Soc. 430 (2013) 105 [arXiv:1208.3026] [INSPIRE].
K. Harigaya, Y. Nakai and M. Suzuki, Inelastic dark matter electron scattering and the XENON1T excess, Phys. Lett. B 809 (2020) 135729 [arXiv:2006.11938] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, The 3.5 keV X-ray line signature from annihilating and decaying dark matter in Weinberg model, arXiv:1405.3730 [INSPIRE].
P. Ko, T. Matsui and Y.-L. Tang, Dark matter bound state formation in fermionic Z2 DM model with light dark photon and dark Higgs boson, JHEP 10 (2020) 082 [arXiv:1910.04311] [INSPIRE].
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Choi, SM., Kim, J., Ko, P. et al. A multi-component SIMP model with U(1)X → Z2 × Z3. J. High Energ. Phys. 2021, 28 (2021). https://doi.org/10.1007/JHEP09(2021)028
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DOI: https://doi.org/10.1007/JHEP09(2021)028