Big-Bang Nucleosynthesis Predictions for Precision Cosmology

The determinination of the primeval deuterium abundance has opened the precision era in big-bang nucleosynthesis (BBN), and accurate predictions are a key to fully exploiting BBN. We present new, more precise predictions for the light-element abundance yields, errors, and correlations in analytic form. Using these results we infer: baryon density $\Omega_Bh^2 = 0.0189\pm 0.0019$, depletion of $^7$Li in old halo stars $d_7 = 0.28 - 0.53$, and stellar depletion of $^3$He $d_{23} = 0.54 -1.4$ (all at 95% confidence). Consistency of the BBN predictions and light-element abundances hinges on some depletion of $^7$Li in old halo stars.