Constraints on neutrino masses from Baryon Acoustic Oscillation measurements

From 21 independent Baryon Acoustic Oscillation (BAO) measurements we obtain the following sum of masses of active Dirac or Majorana neutrinos: $\sum m_\nu = 0.711 - 0.335 \cdot \delta h + 0.050 \cdot \delta b \pm 0.063 $\text{ eV,}$$where$\delta h \equiv (h - 0.678) / 0.009$and$\delta b \equiv (\Omega_b h^2

• 0.02226) / 0.00023$. This result may be combined with independent measurements that constrain the parameters $\sum m_{\nu }$, $h$, and $\Omega_b h^2$\mathrm{.}For$\delta h = \pm 1$and$\delta b = \pm 1$,weobtain$m_\nu < 0.43$ eV at 95% confidence.