Impact of the vector dark matter on polarization of the CMB photon

Abstract

We consider a vector dark matter (VDM) with a direct coupling with photon. We examine the effect of such an interaction on the CMB polarization to put new constrains on the properties of the DM particles. We show that a partially polarized VDM of the order of temperature fluctuation with a quadrupole distribution leads to a valuable CP for the CMB. In different DM-models the DM-masses range from few $eV$ to a few $TeV$. We show that the CP angular power spectrum depends on the mass of VDM as $C_{Vl}^{(S)}\propto 1/m_{{}_V}^6$ such that for $m_{{}_V}=10eV-1keV$, the CP angular power spectrum is $C_{Vl}^{(S)}\simeq 10^3-10^{-11}\mathrm{n}{\mathrm{K}}^2$. Therefore, the light VDM with masses less than $10eV$ leads to an unexpected very large CP which can be excluded from the acceptable range of the VDM masses.

Comments: 40 pages, 7 figures, Accepted for publication in Physical Review D