Abstract
We study a vector dark matter (VDM) model in which the dark sector couples to the Standard Model sector via a Higgs portal. If the portal coupling is small enough the VDM can be produced via the freeze-in mechanism. It turns out that the electroweak phase transition have a substantial impact on the prediction of the VDM relic density. We further assume that the dark Higgs boson which gives the VDM mass is so light that it can induce strong VDM self-interactions and solve the small-scale structure problems of the Universe. As illustrated by the latest LUX data, the extreme smallness of the Higgs portal coupling required by the freeze-in mechanism implies that the dark matter direct detection bounds are easily satisfied. However, the model is well constrained by the indirect detections of VDM from BBN, CMB, AMS-02, and diffuse γ/X-rays. Consequently, only when the dark Higgs boson mass is at most of \( \mathcal{O} \)(keV) does there exist a parameter region which leads to a right amount of VDM relic abundance and an appropriate VDM self-scattering while satisfying all other constraints simultaneously.
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References
Particle Data Group collaboration, C. Patrignani et al., Review of particle physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
L. Bergstrom, Dark matter evidence, particle physics candidates and detection methods, Annalen Phys. 524 (2012) 479 [arXiv:1205.4882] [INSPIRE].
B. Moore, Evidence against dissipationless dark matter from observations of galaxy haloes, Nature 370 (1994) 629 [INSPIRE].
R.A. Flores and J.R. Primack, Observational and theoretical constraints on singular dark matter halos, Astrophys. J. 427 (1994) L1 [astro-ph/9402004] [INSPIRE].
S.-H. Oh, W.J.G. de Blok, E. Brinks, F. Walter and R.C. Kennicutt, Jr, Dark and luminous matter in THINGS dwarf galaxies, Astron. J. 141 (2011) 193 [arXiv:1011.0899] [INSPIRE].
M.G. Walker and J. Penarrubia, A method for measuring (slopes of ) the mass profiles of dwarf spheroidal galaxies, Astrophys. J. 742 (2011) 20 [arXiv:1108.2404] [INSPIRE].
M. Boylan-Kolchin, J.S. Bullock and M. Kaplinghat, Too big to fail? The puzzling darkness of massive milky way subhaloes, Mon. Not. Roy. Astron. Soc. 415 (2011) L40 [arXiv:1103.0007] [INSPIRE].
M. Boylan-Kolchin, J.S. Bullock and M. Kaplinghat, The milky way’s bright satellites as an apparent failure of ΛCDM, Mon. Not. Roy. Astron. Soc. 422 (2012) 1203 [arXiv:1111.2048] [INSPIRE].
S. Garrison-Kimmel, M. Boylan-Kolchin, J.S. Bullock and E.N. Kirby, Too big to fail in the local group, Mon. Not. Roy. Astron. Soc. 444 (2014) 222 [arXiv:1404.5313] [INSPIRE].
A.A. de Laix, R.J. Scherrer and R.K. Schaefer, Constraints of selfinteracting dark matter, Astrophys. J. 452 (1995) 495 [astro-ph/9502087] [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].
M. Vogelsberger, J. Zavala and A. Loeb, Subhaloes in self-interacting galactic dark matter haloes, Mon. Not. Roy. Astron. Soc. 423 (2012) 3740 [arXiv:1201.5892] [INSPIRE].
J. Zavala, M. Vogelsberger and M.G. Walker, Constraining self-interacting dark matter with the milky way’s dwarf spheroidals, Mon. Not. Roy. Astron. Soc. 431 (2013) L20 [arXiv:1211.6426] [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].
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].
S. Tulin and H.-B. Yu, Dark matter self-interactions and small scale structure, arXiv:1705.02358 [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].
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].
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].
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].
D. Harvey, R. Massey, T. Kitching, A. Taylor and E. Tittley, The non-gravitational interactions of dark matter in colliding galaxy clusters, Science 347 (2015) 1462 [arXiv:1503.07675] [INSPIRE].
D. Wittman, N. Golovich and W.A. Dawson, The mismeasure of mergers: revised limits on self-interacting dark matter in merging galaxy clusters, arXiv:1701.05877 [INSPIRE].
L. Ackerman, M.R. Buckley, S.M. Carroll and M. Kamionkowski, Dark matter and dark radiation, Phys. Rev. D 79 (2009) 023519 [arXiv:0810.5126] [INSPIRE].
M.R. Buckley and P.J. Fox, Dark matter self-interactions and light force carriers, Phys. Rev. D 81 (2010) 083522 [arXiv:0911.3898] [INSPIRE].
A. Loeb and N. Weiner, Cores in dwarf galaxies from dark matter with a Yukawa potential, Phys. Rev. Lett. 106 (2011) 171302 [arXiv:1011.6374] [INSPIRE].
J.L. Feng, M. Kaplinghat and H.-B. Yu, Halo shape and relic density exclusions of Sommerfeld-enhanced dark matter explanations of cosmic ray excesses, Phys. Rev. Lett. 104 (2010) 151301 [arXiv:0911.0422] [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].
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].
L.G. van den Aarssen, T. Bringmann and C. Pfrommer, Is dark matter with long-range interactions a solution to all small-scale problems of ΛCDM cosmology?, Phys. Rev. Lett. 109 (2012) 231301 [arXiv:1205.5809] [INSPIRE].
F.-Y. Cyr-Racine, K. Sigurdson, J. Zavala, T. Bringmann, M. Vogelsberger and C. Pfrommer, ETHOS — an effective theory of structure formation: from dark particle physics to the matter distribution of the universe, Phys. Rev. D 93 (2016) 123527 [arXiv:1512.05344] [INSPIRE].
F. Nozzoli, A balance for dark matter bound states, Astropart. Phys. 91 (2017) 22 [arXiv:1608.00405] [INSPIRE].
R. Foot and S. Vagnozzi, Dissipative hidden sector dark matter, Phys. Rev. D 91 (2015) 023512 [arXiv:1409.7174] [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].
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].
M. Pospelov, A. Ritz and M.B. Voloshin, Secluded WIMP dark matter, Phys. Lett. B 662 (2008) 53 [arXiv:0711.4866] [INSPIRE].
J. McDonald, Thermally generated gauge singlet scalars as selfinteracting dark matter, Phys. Rev. Lett. 88 (2002) 091304 [hep-ph/0106249] [INSPIRE].
L.J. Hall, K. Jedamzik, J. March-Russell and S.M. West, Freeze-in production of FIMP dark matter, JHEP 03 (2010) 080 [arXiv:0911.1120] [INSPIRE].
N. Bernal, M. Heikinheimo, T. Tenkanen, K. Tuominen and V. Vaskonen, The dawn of FIMP dark matter: a review of models and constraints, Int. J. Mod. Phys. A 32 (2017) 1730023 [arXiv:1706.07442] [INSPIRE].
C. Cheung, G. Elor, L.J. Hall and P. Kumar, Origins of hidden sector dark matter I: cosmology, JHEP 03 (2011) 042 [arXiv:1010.0022] [INSPIRE].
X. Chu, T. Hambye and M.H.G. Tytgat, The four basic ways of creating dark matter through a portal, JCAP 05 (2012) 034 [arXiv:1112.0493] [INSPIRE].
R. Campbell, S. Godfrey, H.E. Logan, A.D. Peterson and A. Poulin, Implications of the observation of dark matter self-interactions for singlet scalar dark matter, Phys. Rev. D 92 (2015) 055031 [arXiv:1505.01793] [INSPIRE].
Z. Kang, View FImP miracle (by scale invariance) à la self-interaction, Phys. Lett. B 751 (2015) 201 [arXiv:1505.06554] [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].
N. Bernal and X. Chu, Z 2 SIMP dark matter, JCAP 01 (2016) 006 [arXiv:1510.08527] [INSPIRE].
S. Yaser Ayazi, S.M. Firouzabadi and S.P. Zakeri, Freeze-in production of fermionic dark matter with pseudo-scalar and phenomenological aspects, J. Phys. G 43 (2016) 095006 [arXiv:1511.07736] [INSPIRE].
N. Bernal, X. Chu and J. Pradler, Simply split strongly interacting massive particles, Phys. Rev. D 95 (2017) 115023 [arXiv:1702.04906] [INSPIRE].
T. Hambye, Hidden vector dark matter, JHEP 01 (2009) 028 [arXiv:0811.0172] [INSPIRE].
O. Lebedev, H.M. Lee and Y. Mambrini, Vector Higgs-portal dark matter and the invisible Higgs, Phys. Lett. B 707 (2012) 570 [arXiv:1111.4482] [INSPIRE].
Y. Farzan and A.R. Akbarieh, VDM: a model for vector dark matter, JCAP 10 (2012) 026 [arXiv:1207.4272] [INSPIRE].
S. Baek, P. Ko, W.-I. Park and E. Senaha, Higgs portal vector dark matter: revisited, JHEP 05 (2013) 036 [arXiv:1212.2131] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, Invisible Higgs decay width vs. dark matter direct detection cross section in Higgs portal dark matter models, Phys. Rev. D 90 (2014) 055014 [arXiv:1405.3530] [INSPIRE].
M. Duch, B. Grzadkowski and M. McGarrie, A stable Higgs portal with vector dark matter, JHEP 09 (2015) 162 [arXiv:1506.08805] [INSPIRE].
M. Duch, B. Grzadkowski and M. McGarrie, Vacuum stability from vector dark matter, Acta Phys. Polon. B 46 (2015) 2199 [arXiv:1510.03413] [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].
G. Arcadi, C. Gross, O. Lebedev, Y. Mambrini, S. Pokorski and T. Toma, Multicomponent dark matter from gauge symmetry, JHEP 12 (2016) 081 [arXiv:1611.00365] [INSPIRE].
M. Heikinheimo, T. Tenkanen and K. Tuominen, WIMP miracle of the second kind, Phys. Rev. D 96 (2017) 023001 [arXiv:1704.05359] [INSPIRE].
M. Quirós, Finite temperature field theory and phase transitions, hep-ph/9901312 [INSPIRE].
A. Katz and M. Perelstein, Higgs couplings and electroweak phase transition, JHEP 07 (2014) 108 [arXiv:1401.1827] [INSPIRE].
A.V. Semenov, LanHEP: a package for automatic generation of Feynman rules in gauge models, hep-ph/9608488 [INSPIRE].
A. Semenov, LanHEP: a package for the automatic generation of Feynman rules in field theory. Version 3.0, Comput. Phys. Commun. 180 (2009) 431 [arXiv:0805.0555] [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].
S.A. Khrapak, A.V. Ivlev, G.E. Morfill and S.K. Zhdanov, Scattering in the attractive Yukawa potential in the limit of strong interaction, Phys. Rev. Lett. 90 (2003) 225002 [INSPIRE].
J.M. Cline, K. Kainulainen, P. Scott and C. Weniger, Update on scalar singlet dark matter, Phys. Rev. D 88 (2013) 055025 [Erratum ibid. D 92 (2015) 039906] [arXiv:1306.4710] [INSPIRE].
J.M. Alarcon, J. Martin Camalich and J.A. Oller, The chiral representation of the πN scattering amplitude and the pion-nucleon sigma term, Phys. Rev. D 85 (2012) 051503 [arXiv:1110.3797] [INSPIRE].
J.M. Alarcon, L.S. Geng, J. Martin Camalich and J.A. Oller, The strangeness content of the nucleon from effective field theory and phenomenology, Phys. Lett. B 730 (2014) 342 [arXiv:1209.2870] [INSPIRE].
LUX collaboration, D.S. Akerib et al., Results from a search for dark matter in the complete LUX exposure, Phys. Rev. Lett. 118 (2017) 021303 [arXiv:1608.07648] [INSPIRE].
PandaX-II collaboration, A. Tan et al., Dark matter results from first 98.7 days of data from the PandaX-II experiment, Phys. Rev. Lett. 117 (2016) 121303 [arXiv:1607.07400] [INSPIRE].
XENON collaboration, E. Aprile et al., First dark matter search results from the XENON1T experiment, Phys. Rev. Lett. 119 (2017) 181301 [arXiv:1705.06655] [INSPIRE].
C.-Q. Geng, D. Huang, C.-H. Lee and Q. Wang, Direct detection of exothermic dark matter with light mediator, JCAP 08 (2016) 009 [arXiv:1605.05098] [INSPIRE].
C.-Q. Geng, D. Huang and C.-H. Lee, Exothermic dark matter with light mediator after LUX and PandaX-II in 2016, Phys. Dark Univ. 18 (2017) 38 [arXiv:1705.06546] [INSPIRE].
K. Jedamzik and M. Pospelov, Big bang nucleosynthesis and particle dark matter, New J. Phys. 11 (2009) 105028 [arXiv:0906.2087] [INSPIRE].
M. Kawasaki, K. Kohri and T. Moroi, Big-bang nucleosynthesis and hadronic decay of long-lived massive particles, Phys. Rev. D 71 (2005) 083502 [astro-ph/0408426] [INSPIRE].
M. Kawasaki, K. Kohri, T. Moroi and Y. Takaesu, Revisiting big-bang nucleosynthesis constraints on long-lived decaying particles, arXiv:1709.01211 [INSPIRE].
J. Berger, K. Jedamzik and D.G.E. Walker, Cosmological constraints on decoupled dark photons and dark Higgs, JCAP 11 (2016) 032 [arXiv:1605.07195] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
N. Padmanabhan and D.P. Finkbeiner, Detecting dark matter annihilation with CMB polarization: signatures and experimental prospects, Phys. Rev. D 72 (2005) 023508 [astro-ph/0503486] [INSPIRE].
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 (2016) 023527 [arXiv:1506.03811] [INSPIRE].
T.R. Slatyer, Indirect dark matter signatures in the cosmic dark ages II. Ionization, heating and photon production from arbitrary energy injections, Phys. Rev. D 93 (2016) 023521 [arXiv:1506.03812] [INSPIRE].
N. Arkani-Hamed, D.P. Finkbeiner, T.R. Slatyer and N. Weiner, A theory of dark matter, Phys. Rev. D 79 (2009) 015014 [arXiv:0810.0713] [INSPIRE].
A. Sommerfeld, Über die Beugung und Bremsung der Elektronen (in German), Ann. Phys. (Berlin) 403 (1931) 257.
S. Cassel, Sommerfeld factor for arbitrary partial wave processes, J. Phys. G 37 (2010) 105009 [arXiv:0903.5307] [INSPIRE].
R. Iengo, Sommerfeld enhancement for a Yukawa potential, arXiv:0903.0317 [INSPIRE].
T.R. Slatyer, The Sommerfeld enhancement for dark matter with an excited state, JCAP 02 (2010) 028 [arXiv:0910.5713] [INSPIRE].
G. Elor, N.L. Rodd, T.R. Slatyer and W. Xue, Model-independent indirect detection constraints on hidden sector dark matter, JCAP 06 (2016) 024 [arXiv:1511.08787] [INSPIRE].
L. Bergstrom, T. Bringmann, I. Cholis, D. Hooper and C. Weniger, New limits on dark matter annihilation from AMS cosmic ray positron data, Phys. Rev. Lett. 111 (2013) 171101 [arXiv:1306.3983] [INSPIRE].
D. Hooper and W. Xue, Possibility of testing the light dark matter hypothesis with the Alpha Magnetic Spectrometer, Phys. Rev. Lett. 110 (2013) 041302 [arXiv:1210.1220] [INSPIRE].
A. Ibarra, A.S. Lamperstorfer and J. Silk, Dark matter annihilations and decays after the AMS-02 positron measurements, Phys. Rev. D 89 (2014) 063539 [arXiv:1309.2570] [INSPIRE].
AMS collaboration, M. Aguilar et al., Electron and positron fluxes in primary cosmic rays measured with the Alpha Magnetic Spectrometer on the International Space Station, Phys. Rev. Lett. 113 (2014) 121102 [INSPIRE].
AMS collaboration, L. Accardo et al., High statistics measurement of the positron fraction in primary cosmic rays of 0.5-500 GeV with the Alpha Magnetic Spectrometer on the International Space Station, Phys. Rev. Lett. 113 (2014) 121101 [INSPIRE].
Fermi-LAT collaboration, M. Ackermann et al., Searching for dark matter annihilation from milky way dwarf spheroidal galaxies with six years of Fermi Large Area Telescope data, Phys. Rev. Lett. 115 (2015) 231301 [arXiv:1503.02641] [INSPIRE].
J.A. Adams, S. Sarkar and D.W. Sciama, CMB anisotropy in the decaying neutrino cosmology, Mon. Not. Roy. Astron. Soc. 301 (1998) 210 [astro-ph/9805108] [INSPIRE].
X.-L. Chen and M. Kamionkowski, Particle decays during the cosmic dark ages, Phys. Rev. D 70 (2004) 043502 [astro-ph/0310473] [INSPIRE].
T.R. Slatyer and C.-L. Wu, General constraints on dark matter decay from the cosmic microwave background, Phys. Rev. D 95 (2017) 023010 [arXiv:1610.06933] [INSPIRE].
R. Essig, E. Kuflik, S.D. McDermott, T. Volansky and K.M. Zurek, Constraining light dark matter with diffuse X-ray and gamma-ray observations, JHEP 11 (2013) 193 [arXiv:1309.4091] [INSPIRE].
K.K. Boddy and J. Kumar, Indirect detection of dark matter using MeV-range gamma-ray telescopes, Phys. Rev. D 92 (2015) 023533 [arXiv:1504.04024] [INSPIRE].
S. Riemer-Sørensen et al., Dark matter line emission constraints from NuSTAR observations of the bullet cluster, Astrophys. J. 810 (2015) 48 [arXiv:1507.01378] [INSPIRE].
LHC Higgs Cross section Working Group collaboration, S. Dittmaier et al., Handbook of LHC Higgs cross sections: 1. Inclusive observables, arXiv:1101.0593 [INSPIRE].
LHC Higgs Cross section Working Group collaboration, J.R. Andersen et al., Handbook of LHC Higgs cross sections: 3. Higgs properties, arXiv:1307.1347 [INSPIRE].
J. Edsjo and P. Gondolo, Neutralino relic density including coannihilations, Phys. Rev. D 56 (1997) 1879 [hep-ph/9704361] [INSPIRE].
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Duch, M., Grzadkowski, B. & Huang, D. Strongly self-interacting vector dark matter via freeze-in. J. High Energ. Phys. 2018, 20 (2018). https://doi.org/10.1007/JHEP01(2018)020
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DOI: https://doi.org/10.1007/JHEP01(2018)020