Abstract
Motivated by the possibility of enhancing dark matter (DM) self-scattering cross-section σ self , we have revisited the issue of DM annihilation through a Breit-Wigner resonance. In this case thermally averaged annihilation cross-section has strong temper-ature dependence, whereas elastic scattering of DM on the thermal bath particles is sup-pressed. This leads to the early kinetic decoupling of DM and an interesting interplay in the evolution of DM density and temperature that can be described by a set of coupled Boltzmann equations. The standard Breit-Wigner parametrization of a resonance prop-agator is also corrected by including momentum dependence of the resonance width. It has been shown that this effects may change predictions of DM relic density by more than order of magnitude in some regions of the parameter space. Model independent discussion is illustrated within a theory of Abelian vector dark matter. The model assumes extra U(1) symmetry group factor and an additional complex Higgs field needed to generate a mass for the dark vector boson, which provides an extra neutral Higgs boson h 2. We discuss the resonant amplification of σ self . It turns out that if DM abundance is properly reproduced, the Fermi-LAT data favor heavy DM and constraint the enhancement of σ self to the range, which cannot provide a solution to the small-scale structure problems.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Planck collaboration, P.A.R. Ade et al., Planck 2015 results XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [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].
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].
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 et al., The central slope of dark matter cores in dwarf galaxies: simulations vs. THINGS, Astron. J. 142 (2011) 24 [arXiv:1011.2777] [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. 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].
D.H. Weinberg, J.S. Bullock, F. Governato, R. Kuzio de Naray and A.H.G. Peter, Cold dark matter: controversies on small scales, Proc. Nat. Acad. Sci. 112 (2014) 12249 [arXiv:1306.0913] [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. 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].
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].
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].
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. Vogelsberger, J. Zavala, C. Simpson and A. Jenkins, Dwarf galaxies in CDM and SIDM with baryons: observational probes of the nature of dark matter, Mon. Not. Roy. Astron. Soc. 444 (2014) 3684 [arXiv:1405.5216] [INSPIRE].
M.R. Buckley, J. Zavala, F.-Y. Cyr-Racine, K. Sigurdson and M. Vogelsberger, Scattering, damping and acoustic oscillations: simulating the structure of dark matter halos with relativistic force carriers, Phys. Rev. D 90 (2014) 043524 [arXiv:1405.2075] [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].
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].
F. Kahlhoefer, K. Schmidt-Hoberg, J. Kummer and S. Sarkar, On the interpretation of dark matter self-interactions in Abell 3827, Mon. Not. Roy. Astron. Soc. 452 (2015) L54 [arXiv:1504.06576] [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].
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].
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].
M.C. Bento, O. Bertolami and R. Rosenfeld, Cosmological constraints on an invisibly decaying Higgs boson, Phys. Lett. B 518 (2001) 276 [hep-ph/0103340] [INSPIRE].
J.D. March-Russell and S.M. West, WIMPonium and boost factors for indirect dark matter detection, Phys. Lett. B 676 (2009) 133 [arXiv:0812.0559] [INSPIRE].
M. Ibe, H. Murayama and T.T. Yanagida, Breit-Wigner enhancement of dark matter annihilation, Phys. Rev. D 79 (2009) 095009 [arXiv:0812.0072] [INSPIRE].
M. Ibe, Y. Nakayama, H. Murayama and T.T. Yanagida, Nambu-Goldstone dark matter and cosmic ray electron and positron excess, JHEP 04 (2009) 087 [arXiv:0902.2914] [INSPIRE].
M. Ibe, H. Murayama, S. Shirai and T.T. Yanagida, Cosmic ray spectra in Nambu-Goldstone dark matter models, JHEP 11 (2009) 120 [arXiv:0908.3530] [INSPIRE].
W.-L. Guo and Y.-L. Wu, Enhancement of dark matter annihilation via Breit-Wigner resonance, Phys. Rev. D 79 (2009) 055012 [arXiv:0901.1450] [INSPIRE].
X.-J. Bi, X.-G. He and Q. Yuan, Parameters in a class of leptophilic models from PAMELA, ATIC and FERMI, Phys. Lett. B 678 (2009) 168 [arXiv:0903.0122] [INSPIRE].
M. Backovic and J.P. Ralston, Limits on threshold and ‘Sommerfeld’ enhancements in dark matter annihilation, Phys. Rev. D 81 (2010) 056002 [arXiv:0910.1113] [INSPIRE].
E. Braaten and H.W. Hammer, Universal two-body physics in dark matter near an S-wave resonance, Phys. Rev. D 88 (2013) 063511 [arXiv:1303.4682] [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].
S.-M. Choi, H.M. Lee and M.-S. Seo, Cosmic abundances of SIMP dark matter, JHEP 04 (2017) 154 [arXiv:1702.07860] [INSPIRE].
K. Griest and D. Seckel, Three exceptions in the calculation of relic abundances, Phys. Rev. D 43 (1991) 3191 [INSPIRE].
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].
M. Pospelov and A. Ritz, Astrophysical signatures of secluded dark matter, Phys. Lett. B 671 (2009) 391 [arXiv:0810.1502] [INSPIRE].
D. Feldman, Z. Liu and P. Nath, PAMELA positron excess as a signal from the hidden sector, Phys. Rev. D 79 (2009) 063509 [arXiv:0810.5762] [INSPIRE].
J. Papavassiliou and A. Pilaftsis, Gauge invariance and unstable particles, Phys. Rev. Lett. 75 (1995) 3060 [hep-ph/9506417] [INSPIRE].
J. Papavassiliou and A. Pilaftsis, Effective charge of the Higgs boson, Phys. Rev. Lett. 80 (1998) 2785 [hep-ph/9710380] [INSPIRE].
J. Papavassiliou and A. Pilaftsis, Gauge and renormalization group invariant formulation of the Higgs boson resonance, Phys. Rev. D 58 (1998) 053002 [hep-ph/9710426] [INSPIRE].
X.-L. Chen, M. Kamionkowski and X.-M. Zhang, Kinetic decoupling of neutralino dark matter, Phys. Rev. D 64 (2001) 021302 [astro-ph/0103452] [INSPIRE].
J.B. Dent, S. Dutta and R.J. Scherrer, Thermal relic abundances of particles with velocity-dependent interactions, Phys. Lett. B 687 (2010) 275 [arXiv:0909.4128] [INSPIRE].
T. Bringmann and S. Hofmann, Thermal decoupling of WIMPs from first principles, JCAP 04 (2007) 016 [Erratum ibid. 03 (2016) E02] [hep-ph/0612238] [INSPIRE].
T. Bringmann, Particle models and the small-scale structure of dark matter, New J. Phys. 11 (2009) 105027 [arXiv:0903.0189] [INSPIRE].
L.G. van den Aarssen, T. Bringmann and Y.C. Goedecke, Thermal decoupling and the smallest subhalo mass in dark matter models with Sommerfeld-enhanced annihilation rates, Phys. Rev. D 85 (2012) 123512 [arXiv:1202.5456] [INSPIRE].
X.-J. Bi, P.-F. Yin and Q. Yuan, Breit-Wigner enhancement considering the dark matter kinetic decoupling, Phys. Rev. D 85 (2012) 043526 [arXiv:1106.6027] [INSPIRE].
ATLAS and CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [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].
V. Bonnivard et al., Dark matter annihilation and decay in dwarf spheroidal galaxies: the classical and ultrafaint dSphs, Mon. Not. Roy. Astron. Soc. 453 (2015) 849 [arXiv:1504.02048] [INSPIRE].
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 (2016) 083513 [arXiv:1601.02181] [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].
M. Kawasaki, K. Kohri, T. Moroi and Y. Takaesu, Revisiting big-bang nucleosynthesis constraints on dark-matter annihilation, Phys. Lett. B 751 (2015) 246 [arXiv:1509.03665] [INSPIRE].
T. Binder, T. Bringmann, M. Gustafsson and A. Hryczuk, Early kinetic decoupling of dark matter: when the standard way of calculating the thermal relic density fails, arXiv:1706.07433 [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].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1705.10777
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Duch, M., Grzadkowski, B. Resonance enhancement of dark matter interactions: the case for early kinetic decoupling and velocity dependent resonance width. J. High Energ. Phys. 2017, 159 (2017). https://doi.org/10.1007/JHEP09(2017)159
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2017)159