Cosmology with the submillimetre galaxies magnification bias

As in Gonzalez-Nuevo et al. 2017 and Bonavera 2019, the high-z sub-millimetre galaxies can be used as background sample for gravitational lensing studies thanks to their magnification bias. In particular, 2020 bias exploited order constrain free parameters of a Halo Occupation Distribution (HOD) model some main cosmological parameters. this work has been evaluated tool tomographic set up. The cross-correlation function (CCF) data have jointly astrophysical $M_{min}$, $M_{1}$ $\alpha$ each one selected redshift bins $\Omega_{M}$, $\sigma_{8}$, $H_0$ ones ($\Lambda$CDM). Moreover, we explore possible time evolution dark energy density introducing also $\omega_0, \omega_a$ joint analysis ($\omega_0$CDM $\omega_0\omega_a$CDM). CCF measured between foreground spectroscopic GAMA that divided into four (0.1-0.2, 0.2-0.3, 0.3-0.5 0.5-0.8) H-ATLAS with photometric redshifts >1.2. is modelled using description depends on HOD are estimated MCMC different cases. For $\Lambda$CDM model, yields maximum posterior value at 0.26 $[0.17,0.41]$ 68\% C.I. $\Omega_M$ 0.87 $[0.75,1]$ $\sigma_8$. With our current results not yet constrained. $\omega_0$CDM constraints $\sigma_8$ similar, but found $\omega_0$ -1 $[-1.56, -0.47]$ $\omega_0\omega_a$CDM -1.09 $[-1.72, -0.66]$ -0.19 $[-1.88, 1.48]$ $\omega_a$.