A new tension in the cosmological model from primordial deuterium?
  Recent measurements of the D(p,$\gamma)^3$He, nuclear reaction cross-section
and of the neutron lifetime, along with the reevaluation of the cosmological
baryon abundance from cosmic microwave background (CMB) analysis, call for an
update of abundance predictions for light elements produced during the big-bang
nucleosynthesis (BBN). While considered as a pillar of the hot big-bang model
in its early days, BBN constraining power mostly rests on deuterium abundance.
We point out a new $\simeq1.8\sigma$-tension on the baryonic density, or
equivalently on the D/H abundance, between the value inferred on one hand from
the analysis of the primordial abundances of light elements and, on the other
hand, from the combination of CMB and baryonic oscillation data. This draws the
attention on this sector of the theory and gives us the opportunity to
reevaluate the status of BBN in the context of precision cosmology. Finally,
this paper presents an upgrade of the BBN code PRIMAT.
