Abstract
We construct a self-interacting dark matter model that could simultaneously explain the observed muon anomalous magnetic moment. It is based on a gauged \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) extension of the standard model, where we introduce a vector-like pair of fermions as the dark matter candidate and a new Higgs boson to break the symmetry. The new gauge boson has a sizable contribution to muon (g − 2), while being consistent with other experimental constraints. The \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) Higgs boson acts as a light force carrier, mediating dark matter self-interactions with a velocity-dependent cross section. It is large enough in galaxies to thermalize the inner halo and explain the diverse rotation curves and diminishes towards galaxy clusters. Since the light mediator dominantly decays to the \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) gauge boson and neutrinos, the astrophysical and cosmological constraints are weak. We study the thermal evolution of the model in the early Universe and derive a lower bound on the gauge boson mass.
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References
M. Battaglieri et al., U.S. cosmic visions — new ideas in dark matter 2017: community report, arXiv:1707.04591 [INSPIRE].
S. Tulin and H.-B. Yu, Dark matter self-interactions and small scale structure, Phys. Rept. 730 (2018) 1 [arXiv:1705.02358] [INSPIRE].
J.S. Bullock and M. Boylan-Kolchin, Small-scale challenges to the ΛCDM paradigm, Ann. Rev. Astron. Astrophys. 55 (2017) 343 [arXiv:1707.04256] [INSPIRE].
K.A. Oman et al., The unexpected diversity of dwarf galaxy rotation curves, Mon. Not. Roy. Astron. Soc. 452 (2015) 3650 [arXiv:1504.01437] [INSPIRE].
A. Kamada, M. Kaplinghat, A.B. Pace and H.-B. Yu, Self-interacting dark matter can explain diverse galactic rotation curves, Phys. Rev. Lett. 119 (2017) 111102 [arXiv:1611.02716] [INSPIRE].
P. Creasey, O. Sameie, L.V. Sales, H.-B. Yu, M. Vogelsberger and J. Zavala, Spreading out and staying sharp — creating diverse rotation curves via baryonic and self-interaction effects, Mon. Not. Roy. Astron. Soc. 468 (2017) 2283 [arXiv:1612.03903] [INSPIRE].
M. Valli and H.-B. Yu, Dark matter self-interactions from the internal dynamics of dwarf spheroidals, arXiv:1711.03502 [INSPIRE].
M. Kaplinghat, S. Tulin and H.-B. Yu, Dark matter halos as particle colliders: unified solution to small-scale structure puzzles from dwarfs to clusters, Phys. Rev. Lett. 116 (2016) 041302 [arXiv:1508.03339] [INSPIRE].
K. Bondarenko, A. Boyarsky, T. Bringmann and A. Sokolenko, Constraining self-interacting dark matter with scaling laws of observed halo surface densities, JCAP 04 (2018) 049 [arXiv:1712.06602] [INSPIRE].
K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g − 2) μ and α(M 2 Z ) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic contributions to the muon g − 2 and to α(M 2 Z ), Eur. Phys. J. C 71 (2011) 1515 [Erratum ibid. C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
X.-G. He, G.C. Joshi, H. Lew and R.R. Volkas, Simplest Z′ model, Phys. Rev. D 44 (1991) 2118 [INSPIRE].
X.-G. He, G.C. Joshi, H. Lew and R.R. Volkas, New Z′ phenomenology, Phys. Rev. D 43 (1991) 22 [INSPIRE].
M. Kaplinghat, S. Tulin and H.-B. Yu, Direct detection portals for self-interacting dark matter, Phys. Rev. D 89 (2014) 035009 [arXiv:1310.7945] [INSPIRE].
F.-Y. Cyr-Racine and K. Sigurdson, Cosmology of atomic dark matter, Phys. Rev. D 87 (2013) 103515 [arXiv:1209.5752] [INSPIRE].
J.M. Cline, Z. Liu, G.D. Moore and W. Xue, Scattering properties of dark atoms and molecules, Phys. Rev. D 89 (2014) 043514 [arXiv:1311.6468] [INSPIRE].
K.K. Boddy, J.L. Feng, M. Kaplinghat and T.M.P. Tait, Self-interacting dark matter from a non-Abelian hidden sector, Phys. Rev. D 89 (2014) 115017 [arXiv:1402.3629] [INSPIRE].
K.K. Boddy, J.L. Feng, M. Kaplinghat, Y. Shadmi and T.M.P. Tait, Strongly interacting dark matter: self-interactions and keV lines, Phys. Rev. D 90 (2014) 095016 [arXiv:1408.6532] [INSPIRE].
N. Bernal, X. Chu, C. Garcia-Cely, T. Hambye and B. Zaldivar, Production regimes for self-interacting dark matter, JCAP 03 (2016) 018 [arXiv:1510.08063] [INSPIRE].
K.K. Boddy, M. Kaplinghat, A. Kwa and A.H.G. Peter, Hidden sector hydrogen as dark matter: small-scale structure formation predictions and the importance of hyperfine interactions, Phys. Rev. D 94 (2016) 123017 [arXiv:1609.03592] [INSPIRE].
T. Bringmann, H.T. Ihle, J. Kersten and P. Walia, Suppressing structure formation at dwarf galaxy scales and below: late kinetic decoupling as a compelling alternative to warm dark matter, Phys. Rev. D 94 (2016) 103529 [arXiv:1603.04884] [INSPIRE].
T. Binder, M. Gustafsson, A. Kamada, S.M.R. Sandner and M. Wiesner, Reannihilation of self-interacting dark matter, Phys. Rev. D 97 (2018) 123004 [arXiv:1712.01246] [INSPIRE].
E. Ma, Inception of self-interacting dark matter with dark charge conjugation symmetry, Phys. Lett. B 772 (2017) 442 [arXiv:1704.04666] [INSPIRE].
R. Huo, M. Kaplinghat, Z. Pan and H.-B. Yu, Signatures of self-interacting dark matter in the matter power spectrum and the CMB, arXiv:1709.09717 [INSPIRE].
I. Baldes, M. Cirelli, P. Panci, K. Petraki, F. Sala and M. Taoso, Asymmetric dark matter: residual annihilations and self-interactions, arXiv:1712.07489 [INSPIRE].
T. Bringmann, F. Kahlhoefer, K. Schmidt-Hoberg and P. Walia, Converting non-relativistic dark matter to radiation, arXiv:1803.03644 [INSPIRE].
B. Zhu, R. Ding and Y. Li, Realization of sneutrino self-interacting dark matter in the focus point supersymmetry, arXiv:1804.00277 [INSPIRE].
M. Duerr, K. Schmidt-Hoberg and S. Wild, Self-interacting dark matter with a stable vector mediator, arXiv:1804.10385 [INSPIRE].
M. Kaplinghat, T. Linden and H.-B. Yu, Galactic center excess in γ rays from annihilation of self-interacting dark matter, Phys. Rev. Lett. 114 (2015) 211303 [arXiv:1501.03507] [INSPIRE].
T. Bringmann, F. Kahlhoefer, K. Schmidt-Hoberg and P. Walia, Strong constraints on self-interacting dark matter with light mediators, Phys. Rev. Lett. 118 (2017) 141802 [arXiv:1612.00845] [INSPIRE].
Muon g-2 collaboration, G.W. Bennett et al., Final report of the E821 muon anomalous magnetic moment measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
B.L. Roberts, Status of the Fermilab muon (g − 2) experiment, Chin. Phys. C 34 (2010) 741 [arXiv:1001.2898] [INSPIRE].
J. Prades, E. de Rafael and A. Vainshtein, The hadronic light-by-light scattering contribution to the muon and electron anomalous magnetic moments, Adv. Ser. Direct. High Energy Phys. 20 (2009) 303 [arXiv:0901.0306] [INSPIRE].
F. Jegerlehner and A. Nyffeler, The muon g − 2, Phys. Rept. 477 (2009) 1 [arXiv:0902.3360] [INSPIRE].
S. Baek, N.G. Deshpande, X.-G. He and P. Ko, Muon anomalous g − 2 and gauged L μ -L τ models, Phys. Rev. D 64 (2001) 055006 [hep-ph/0104141] [INSPIRE].
J. Heeck and W. Rodejohann, Gauged L μ -L τ symmetry at the electroweak scale, Phys. Rev. D 84 (2011) 075007 [arXiv:1107.5238] [INSPIRE].
K.R. Lynch, Extended electroweak interactions and the muon g μ − 2, Phys. Rev. D 65 (2002) 053006 [hep-ph/0108080] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
CHARM-II collaboration, D. Geiregat et al., First observation of neutrino trident production, Phys. Lett. B 245 (1990) 271 [INSPIRE].
S.R. Mishra et al., Neutrino tridents and W -Z interference, Phys. Rev. Lett. 66 (1991) 3117 [INSPIRE].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Neutrino trident production: a powerful probe of new physics with neutrino beams, Phys. Rev. Lett. 113 (2014) 091801 [arXiv:1406.2332] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for a muonic dark force at BABAR, Phys. Rev. D 94 (2016) 011102 [arXiv:1606.03501] [INSPIRE].
Borexino collaboration, G. Bellini et al., Precision measurement of the 7 Be solar neutrino interaction rate in Borexino, Phys. Rev. Lett. 107 (2011) 141302 [arXiv:1104.1816] [INSPIRE].
M. Bauer, P. Foldenauer and J. Jaeckel, Hunting all the hidden photons, arXiv:1803.05466 [INSPIRE].
H.K. Dreiner, J.-F. Fortin, J. Isern and L. Ubaldi, White dwarfs constrain dark forces, Phys. Rev. D 88 (2013) 043517 [arXiv:1303.7232] [INSPIRE].
R. Harnik, J. Kopp and P.A.N. Machado, Exploring ν signals in dark matter detectors, JCAP 07 (2012) 026 [arXiv:1202.6073] [INSPIRE].
NA48/2 collaboration, J.R. Batley et al., Search for the dark photon in π 0 decays, Phys. Lett. B 746 (2015) 178 [arXiv:1504.00607] [INSPIRE].
A. Kamada and H.-B. Yu, Coherent propagation of PeV neutrinos and the dip in the neutrino spectrum at IceCube, Phys. Rev. D 92 (2015) 113004 [arXiv:1504.00711] [INSPIRE].
T. Asaka and M. Kawasaki, Cosmological moduli problem and thermal inflation models, Phys. Rev. D 60 (1999) 123509 [hep-ph/9905467] [INSPIRE].
D.J. Fixsen, E.S. Cheng, J.M. Gales, J.C. Mather, R.A. Shafer and E.L. Wright, The cosmic microwave background spectrum from the full COBE FIRAS data set, Astrophys. J. 473 (1996) 576 [astro-ph/9605054] [INSPIRE].
M. Kawasaki, K. Kohri, T. Moroi and Y. Takaesu, Revisiting big-bang nucleosynthesis constraints on long-lived decaying particles, Phys. Rev. D 97 (2018) 023502 [arXiv:1709.01211] [INSPIRE].
K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev. D 43 (1991) 3191 [INSPIRE].
J. Hisano, S. Matsumoto, M. Nagai, O. Saito and M. Senami, Non-perturbative effect on thermal relic abundance of dark matter, Phys. Lett. B 646 (2007) 34 [hep-ph/0610249] [INSPIRE].
J.L. Feng, M. Kaplinghat and H.-B. Yu, Sommerfeld enhancements for thermal relic dark matter, Phys. Rev. D 82 (2010) 083525 [arXiv:1005.4678] [INSPIRE].
S. Tulin, H.-B. Yu and K.M. Zurek, Beyond collisionless dark matter: particle physics dynamics for dark matter halo structure, Phys. Rev. D 87 (2013) 115007 [arXiv:1302.3898] [INSPIRE].
F. Kahlhoefer, K. Schmidt-Hoberg and S. Wild, Dark matter self-interactions from a general spin-0 mediator, JCAP 08 (2017) 003 [arXiv:1704.02149] [INSPIRE].
F. Kahlhoefer, K. Schmidt-Hoberg, M.T. Frandsen and S. Sarkar, Colliding clusters and dark matter self-interactions, Mon. Not. Roy. Astron. Soc. 437 (2014) 2865 [arXiv:1308.3419] [INSPIRE].
A.B. Newman, T. Treu, R.S. Ellis and D.J. Sand, The density profiles of massive, relaxed galaxy clusters: II. Separating luminous and dark matter in cluster cores, Astrophys. J. 765 (2013) 25 [arXiv:1209.1392] [INSPIRE].
S. Tulin, H.-B. Yu and K.M. Zurek, Resonant dark forces and small-scale structure, Phys. Rev. Lett. 110 (2013) 111301 [arXiv:1210.0900] [INSPIRE].
PandaX-II collaboration, X. Ren et al., Particle physics constraints on self-interacting dark matter from PandaX-II experiment, arXiv:1802.06912 [INSPIRE].
Super-Kamiokande collaboration, K. Frankiewicz, Searching for dark matter annihilation into neutrinos with Super-Kamiokande, in Proceedings, Meeting of the APS Division of Particles and Fields (DPF 2015), Ann Arbor, MI, U.S.A., 4–8 August 2015 [arXiv:1510.07999] [INSPIRE].
LUX collaboration, D.S. Akerib et al., First results from the LUX dark matter experiment at the Sanford Underground Research Facility, Phys. Rev. Lett. 112 (2014) 091303 [arXiv:1310.8214] [INSPIRE].
F. D’Eramo, B.J. Kavanagh and P. Panci, You can hide but you have to run: direct detection with vector mediators, JHEP 08 (2016) 111 [arXiv:1605.04917] [INSPIRE].
IceCube collaboration, M.G. Aartsen et al., Observation of high-energy astrophysical neutrinos in three years of IceCube data, Phys. Rev. Lett. 113 (2014) 101101 [arXiv:1405.5303] [INSPIRE].
IceCube collaboration, M.G. Aartsen et al., The IceCube neutrino observatory — contributions to ICRC 2017 Part II: properties of the atmospheric and astrophysical neutrino flux, arXiv:1710.01191 [INSPIRE].
T. Araki, F. Kaneko, Y. Konishi, T. Ota, J. Sato and T. Shimomura, Cosmic neutrino spectrum and the muon anomalous magnetic moment in the gauged L μ -L τ model, Phys. Rev. D 91 (2015) 037301 [arXiv:1409.4180] [INSPIRE].
T. Araki, F. Kaneko, T. Ota, J. Sato and T. Shimomura, MeV scale leptonic force for cosmic neutrino spectrum and muon anomalous magnetic moment, Phys. Rev. D 93 (2016) 013014 [arXiv:1508.07471] [INSPIRE].
M. Ibe, W. Nakano and M. Suzuki, Constraints on L μ -L τ gauge interactions from rare kaon decay, Phys. Rev. D 95 (2017) 055022 [arXiv:1611.08460] [INSPIRE].
Y. Kaneta and T. Shimomura, On the possibility of a search for the L μ -L τ gauge boson at Belle-II and neutrino beam experiments, PTEP 2017 (2017) 053B04 [arXiv:1701.00156] [INSPIRE].
S.N. Gninenko and N.V. Krasnikov, Probing the muon g μ − 2 anomaly, L μ -L τ gauge boson and dark matter in dark photon experiments, arXiv:1801.10448 [INSPIRE].
M. Abdullah, J.B. Dent, B. Dutta, G.L. Kane, S. Liao and L.E. Strigari, Coherent Elastic Neutrino Nucleus Scattering (CEνNS) as a probe of Z′ through kinetic and mass mixing effects, arXiv:1803.01224 [INSPIRE].
Y. Kahn, G. Krnjaic, N. Tran and A. Whitbeck, M 3 : a new muon missing momentum experiment to probe (g − 2) μ and dark matter at Fermilab, arXiv:1804.03144 [INSPIRE].
K. Asai, K. Hamaguchi and N. Nagata, Predictions for the neutrino parameters in the minimal gauged \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) model, Eur. Phys. J. C 77 (2017) 763 [arXiv:1705.00419] [INSPIRE].
S. Bilmis, I. Turan, T.M. Aliev, M. Deniz, L. Singh and H.T. Wong, Constraints on dark photon from neutrino-electron scattering experiments, Phys. Rev. D 92 (2015) 033009 [arXiv:1502.07763] [INSPIRE].
Y.S. Jeong, C.S. Kim and H.-S. Lee, Constraints on the U(1) L gauge boson in a wide mass range, Int. J. Mod. Phys. A 31 (2016) 1650059 [arXiv:1512.03179] [INSPIRE].
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Kamada, A., Kaneta, K., Yanagi, K. et al. Self-interacting dark matter and muon (g − 2) in a gauged \( \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) model. J. High Energ. Phys. 2018, 117 (2018). https://doi.org/10.1007/JHEP06(2018)117
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DOI: https://doi.org/10.1007/JHEP06(2018)117