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We analyze in details the standard Primordial Nucleosynthesis scenario. Inparticular we discuss the key theoretical issues which are involved in adetailed prediction of light nuclide abundances, as the weak reaction rates,neutrino decoupling and nuclear rate modeling. We also perform a new analysisof available data on the main nuclear processes entering the nucleosynthesisreaction network, with particular stress on their uncertainties as well as ontheir role in determining the corresponding uncertainties on light nuclidetheoretical estimates. The current status of theoretical versus experimentalresults for 2H, 3He, 4He and 7Li is then discussed using the determination ofthe baryon density as obtained from Cosmic Microwave Background anisotropies.Comment: LaTeX, 83 pages, 30 .eps figures. Some typos corrected, few Refs., 1  paragraph and 1 appendix added, matches version to be published in JCA

Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields