Abstract
Light (M ≤ 20 MeV) dark-matter particles freeze out after neutrino decoupling. If the dark-matter particle couples to a neutrino or an electromagnetic plasma, the late time entropy production from dark-matter annihilation can change the neutrino-to-photon temperature ratio, and equally the effective number of neutrinos N eff. We study the non-equilibrium effects of dark-matter annihilation on the N eff and the effects by using a thermal equilibrium approximation. Both results are constrained with Planck observations. We demonstrate that the lower bounds of the dark-matter mass and the possibilities of the existence of additional radiation particles are more strongly constrained for dark-matter annihilation process in non-equilibrium.
Similar content being viewed by others
References
D. A. Dicus, E. W. Kolb, A. M. Gleeson, E. C. G. Sudarshan, V. L. Teplitz and M. S. Turner, Phys. Rev. D 26, 2694 (1982).
G. Mangano, G. Miele, S. Pastor and M. Peloso, Phys. Lett. B 534, 8 (2002), astro-ph/0111408.
K. N. Abazajian, M. A. Acero and S. K. Agarwalla, et al., arXiv:1204.5379.
S. Weinberg, Phys. Rev. Lett. 110, 241301 (2013), arXiv:1305.1971.
P. A. R. Ade et al. [Planck Collaboration], arXiv: 1502.01589.
C. M. Ho and R. J. Scherrer, Phys. Rev. D 87, 023505 (2013), arXiv:1208.4347; Phys. Rev. D 87, 065016 (2013), arXiv:1212.1689.
G. Steigman, Phys. Rev. D 87, 103517 (2013), arXiv:1303.0049.
C. Boehm, M. J. Dolan and C. McCabe, J. Cosmol. Astropart. Phys. 08, 041 (2013), arXiv:1303.6270.
K. M. Nollett and G. Steigman, Phys. Rev. D 89, 083508 (2014), arXiv:1312.5725; Phys. Rev. D 91, 083505 (2015), arXiv:1411.6005.
A. G. Riess et al., Astrophys. J. 730, 119 (2011) [Erratum-ibid. 732, 129 (2011)], arXiv:1103.2976.
J. Yang, D. Schramm, G. Steigman and R. T. Rood, Astrophys. J. 227, 697 (1979).
R. Cooke, M. Pettini, R. A. Jorgenson, M. T. Murphy and C. C. Steidel, Astrophys. J. 781, 31 (2014), arXiv:1308.3240.
M. Pettini and R. Cooke, Mon. Not. R. Astron. Soc. 425, 2477 (2012), arXiv:1205.3785.
E. Aver, K. A. Porter, R. L. Porter and E. D. Skillman, J. Cosmol. Astropart. Phys. 11, 017 (2013), arXiv:1309.0047.
Y. I. Izotov, T. X. Thuan, and N. G. Guseva, Mon. Not. Roy. Astron. Soc. 445, 778 (2014), arXiv:1408.6953.
E. W. Kolb, M. S. Turner and T. P. Walker, Phys. Rev. D 34, 2197 (1986).
P. D. Serpico and G. G. Raffelt, Phys. Rev. D 70, 043526 (2004), astro-ph/0403417.
C. Boehm and P. Fayet, Nucl. Phys. B 683, 219 (2004), hep-ph/0305261.
C. Boehm, D. Hooper, J. Silk, M. Casse and J. Paul, Phys. Rev. Lett.} 92, 101301 (2004), astro-ph/0309686.
D. Hooper, F. Ferrer, C. Boehm, J. Silk, J. Paul, N. W. Evans and M. Casse, Phys. Rev. Lett. 93, 161302 (2004), astro-ph/0311150.
K. Ahn and E. Komatsu, Phys. Rev. D 72, 061301 (2005), astro-ph/0506520.
C. Boehm, M. J. Dolan and C. McCabe, J. Cosmol. Astropart. Phys. 12, 027 (2012), arXiv:1207.0497.
We distinguish terminology, “decoupling” and “freezeout”, in this paper. “Decoupling” will be used in the case that (DM) particles are completely non-interacting at some point, and “freeze-out” is for chemical decoupling. Notice this does not mean that DM dumps energy in the neutrino or the electromagnetic plasma instantaneously. The evolving comoving number density of DM particles has a sizable deviation from its equilibrium prediction around freeze-out (see Fig. 1).
D. P. Finkbeiner, S. Galli, T. Lin and T. R. Slatyer, Phys. Rev. D 85, 043522 (2012), arXiv:1109.6322.
L. Lopez-Honorez, O. Mena, S. Palomares-Ruiz and A. C. Vincent, J. Cosmol. Astropart. Phys. 07, 046 (2013), arXiv:1303.5094.
The mark “ ~ ” is placed on top of the symbol of the number of the effective relativistic degrees of freedom to indicate DM inclusion. If there is no “ ~ ” mark, DM is excluded.
Notice that one of the DM decoupling temperatures is determined when the equilibrium DM number is the same as the present-day DM relic density, Yeq(TbD) = Y0.
K. Enqvist, K. Kainulainen and V. Semikoz, Nucl. Phys. B 374, 392 (1992).
A. D. Dolgov, Phys. Rept. 370, 333 (2002), hepph/ 0202122.
S. Hannestad, Phys. Rev. D 65, 083006 (2002), astroph/0111423.
The plasma in the thermal bath b is always in thermal equilibrium because it is not relevant to the DM interaction, so the entropy Sb is constant.
A certain number of neutrinos can remain in nonequilibrium if their scattering strength is not enough large. We need to consider the detailed Boltzmann equation with the scattering cross section for this process. Because our work is not concerned with any specific model, we assume that the produced neutrinos are in the equilibrium at recombination. The details with scattering are left for a future study.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Heo, J.H., Kim, C.S. Light dark matter and dark radiation. Journal of the Korean Physical Society 68, 715–721 (2016). https://doi.org/10.3938/jkps.68.715
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.68.715