Strong bounds on sum of neutrino masses in a 12 parameter extended scenario with non-phantom dynamical dark energy ($$w(z)\ge -1$$ w(z)≥-1 )

Abstract

Abstract We obtained constraints on a 12 parameter extended cosmological scenario including non-phantom dynamical dark energy (NPDDE) with CPL parametrization. We also include the six $$\Lambda $$ Λ CDM parameters, number of relativistic neutrino species ($$N_{\text {eff}}$$ Neff ) and sum over active neutrino masses ($$\sum m_{\nu }$$ ∑mν ), tensor-to-scalar ratio ($$r_{0.05}$$ r0.05 ), and running of the spectral index ($$n_{run}$$ nrun ). We use CMB Data from Planck 2015; BAO Measurements from SDSS BOSS DR12, MGS, and 6dFS; SNe Ia Luminosity Distance measurements from the Pantheon Sample; CMB B-mode polarization data from BICEP2/Keck collaboration (BK14); Planck lensing data; and a prior on Hubble constant ($$73.24\pm 1.74$$ 73.24±1.74 km/s/Mpc) from local measurements (HST). We have found strong bounds on the sum of the active neutrino masses. For instance, a strong bound of $$\sum m_{\nu } < 0.123$$ ∑mν<0.123 eV (95% CL) comes from Planck+BK14+BAO. Although we are in such an extended parameter space, this bound is stronger than a bound of $$\sum m_{\nu }<$$ ∑mν< 0.158 eV (95% CL) obtained in $$\Lambda \text {CDM}+\sum m_{\nu }$$ ΛCDM+∑mν with Planck+BAO. Varying $$A_{\text {lens}}$$ Alens instead of $$r_{0.05}$$ r0.05 however leads to weaker bounds on $$\sum m_{\nu }$$ ∑mν . Inclusion of the HST leads to the standard value of $$N_{\text {eff}} = 3.045$$ Neff=3.045 being discarded at more than 68% CL, which increases to 95% CL when we vary $$A_{\text {lens}}$$ Alens instead of $$r_{0.05}$$ r0.05 , implying a small preference for dark radiation, driven by the $$H_0$$ H0 tension.