Standard big bang nucleosynthesis and primordial CNO Abundances after
  Planck
  Primordial or big bang nucleosynthesis (BBN) is one of the three historical
strong evidences for the big bang model. The recent results by the Planck
satellite mission have slightly changed the estimate of the baryonic density
compared to the previous WMAP analysis. This article updates the BBN
predictions for the light elements using the cosmological parameters determined
by Planck, as well as an improvement of the nuclear network and new
spectroscopic observations. There is a slight lowering of the primordial Li/H
abundance, however, this lithium value still remains typically 3 times larger
than its observed spectroscopic abundance in halo stars of the Galaxy.
According to the importance of this "lithium problem", we trace the small
changes in its BBN calculated abundance following updates of the baryonic
density, neutron lifetime and networks. In addition, for the first time, we
provide confidence limits for the production of 6Li, 9Be, 11B and CNO,
resulting from our extensive Monte Carlo calculation with our extended network.
A specific focus is cast on CNO primordial production. Considering
uncertainties on the nuclear rates around the CNO formation, we obtain CNO/H
\approx (5-30) x 10^{-15}. We further improve this estimate by analyzing
correlations between yields and reaction rates and identified new influential
reaction rates. These uncertain rates, if simultaneously varied could lead to a
significant increase of CNO production: CNO/H \sim 10^{-13}. This result is
important for the study of population III star formation during the dark ages.
