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In this work, we constrain the spectral index nt of the primordial gravitational wave power spectrum in a universe with sterile neutrinos by using the Planck temperature data, the WMAP 9-year polarization data, the baryon acoustic oscillation data, and the BICEP2 data. We call this model the ΛCDM+r+νs+nt model. The additional massive sterile neutrino species can significantly relieve the tension...
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