UMN-TH-1728/98 TPI-MINN-98/23 hep-ph/9811444 November 1998 GENERALIZED LIMITS TO THE NUMBER OF LIGHT PARTICLE DEGREES OF FREEDOM FROM BIG BANG NUCLEOSYNTHESIS

We compute the big bang nucleosynthesis limit on the number of light neutrino degrees of freedom in a model-independent likelihood analysis based on the abundances of He and Li. We use the two-dimensional likelihood functions to simultaneously constrain the baryon-to-photon ratio and the number of light neutrinos for a range of He abundances Yp = 0.225 – 0.250, as well as a range in primordial Li abundances from (1.6 to 4.1) ×10−10. For (Li/H)p = 1.6 × 10−10, as can be inferred from the Li data from Population II halo stars, the upper limit to Nν based on the current best estimate of the primordial He abundance of Yp = 0.238, is Nν < 4.3 and varies from Nν < 3.3 (at 95% C.L.) when Yp = 0.225 to Nν < 5.3 when Yp = 0.250. If Li is depleted in these stars the upper limit to Nν is relaxed. Taking ( Li/H)p = 4.1×10−10, the limit varies from Nν < 3.9 when Yp = 0.225 to Nν < ∼ 6 when Yp = 0.250. We also consider the consequences on the upper limit to Nν if recent observations of deuterium in high-redshift quasar absorption-line systems are confirmed. [email protected] [email protected]