f (Q ) gravity and neutrino physics

Within the f (Q )-gravity framework we perform a phenomenological study of the cosmological observables in light of the degeneracy between neutrinos physics and the modified gravity parameter and we identify specific patterns which allow to break such degeneracy. We also provide separately constraints on the total mass of the neutrinos, Σ m_ν , and on the effective number of neutrino species, N_eff , using cosmic microwave background (CMB), baryon acoustic oscillation (BAO), redshift space distortion (RSD), supernovae (SNIa), galaxy clustering (GC) and weak gravitational lensing (WL) measurements. The strongest upper bound on the total mass of the neutrinos is found for the combination of CMB +BAO +RSD +SNIa and it is Σ m_ν<0.277 eV at 95% C.L. For the same combination of data we find N_eff=2.93_-0.34^+0.31 at 95% C.L. We also find that all combinations of data we consider, prefer a stronger gravitational interaction than Λ CDM . Finally, we consider the χ² and deviance information criterion statistics and find the f (Q )+Σ m_ν model to be statistically supported by data over the standard scenario. On the contrary f (Q )+N_eff is supported by CMB +BAO +RSD +SNIa but a moderate evidence against it is found with GC and WL data.