We discuss an extended model with chiral tensor particles in the Universe. Their direct influence on the Universe dynamics and their characteristic interactions in the hot Universe plasma, considered in previous publications, are briefly reviewed. A short discussion on the contemporary cosmological bounds on effective number of the relativistic degrees of freedom is provided. Cosmological constraints on the tensor particles interactions strength are obtained, corresponding to different cosmological bounds on the relativistic degrees of freedom and for different assumptions about right handed neutrinos.
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