Observational constraints on the massive neutrinos induced late-time cosmic acceleration

Abstract

We study a scenario based upon a mass-less $\lambda {\varphi }^4$ theory coupled to massive neutrino matter with $Z_2$ symmetry using a conformal coupling, $A(\varphi )=1-\alpha {\varphi }^2/2M_{pl}^2;\alpha =M_{pl}^2/M^2$ where $M$ is a cut off mass. The chosen coupling generically leads to the spontaneous symmetry breaking at late times such that the field acquires non-zero mass, $m_{\varphi }=(\alpha {\Omega }_{0\nu }{)}^{1/2}{H}_0\ll H_0$ and rolls slowly around the true ground state which emerges after spontaneous symmetry breaking. For the statistical analysis, we utilize Pantheon+Multi-Cycle Treasury and OHD data sets. We find that even a small fraction of the neutrino matter density together with its coupling to the scalar field can actually make our model to behave like a weakly dynamical dark energy and have $\Lambda$CDM model as a limiting case.

Comments: 10 pages, 3 figures, 1 table