# Clustering and redshift-space distortions in modified gravity models with massive neutrinos

## TL;DR

This paper explores how redshift-space distortions in galaxy clustering can distinguish modified gravity models with massive neutrinos from the standard cosmological model, especially at high redshifts.

## Contribution

It demonstrates that redshift-space distortions are effective in breaking degeneracies between modified gravity and neutrino effects in large-scale structure data.

## Key findings

- Redshift-space distortions help differentiate modified gravity from $
mf extLambda$CDM.
- High redshift ($z extgreater 1$) observations are particularly effective.
- Redshift-space distortions remain a robust probe even with massive neutrinos.

## Abstract

Modified gravity and massive neutrino cosmologies are two of the most interesting scenarios that have been recently explored to account for possible observational deviations from the concordance $\Lambda$-cold dark matter ($\Lambda$CDM) model. In this context, we investigated the large-scale structure of the Universe by exploiting the \dustp simulations that implement, simultaneously, the effects of $f(R)$ gravity and massive neutrinos. To study the possibility of breaking the degeneracy between these two effects, we analysed the redshift-space distortions in the clustering of dark matter haloes at different redshifts. Specifically, we focused on the monopole and quadrupole of the two-point correlation function, both in real and redshift space. The deviations with respect to $\Lambda$CDM model have been quantified in terms of the linear growth rate parameter. We found that redshift-space distortions provide a powerful probe to discriminate between $\Lambda$CDM and modified gravity models, especially at high redshifts ($z \gtrsim 1$), even in the presence of massive neutrinos.