“School of Astronomy”
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| Paper IPM / Astronomy / 16279 |
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In this paper, we explore the possibility of the polarization conversion of a wide energy range of cosmic photons to the circular polarization through their interactions with right handed Sterile neutrinos as a candidate for dark matter. By considering the Sterile neutrino in the seesaw mechanism framework and right-handed current model, we examine the Faraday conversion ÎÏFC of gamma ray burst (GRB) photons at both the prompt and afterglow emission levels as well as the radio photons emitted from our galaxy and extra-galactic sources interacting with the Sterile neutrinos. Consequently, for the Sterile neutrino with mixing angle θ2â²10â2 motivated by models with a hidden sector coupled to the sterile neutrino, the Faraday conversion can be estimated as ÎÏFCâ²10â3â10â18 rad for GRB, ÎÏFCâ²10â6â10â11 rad for radio emission source from our galaxy and ÎÏFCâ²10â6â10â15 rad for extra-galactic sources. We also examine the V-mode power spectrum CVl of the cosmic microwave background (CMB) at the last scattering surface. We show that the circular polarization power spectrum at the leading order is proportional to the linear polarization power spectrum Cpl and the mixing angle where for θ2â²10â2 leads to CVlâ²0.01 Nano-Kelvin squared
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