Precision Prediction for the Big-Bang Abundance of Primordial Helium

dc.creatorLopez, Robert E.
dc.creatorTurner, Michael S.
dc.date1998-07-28
dc.date1999-02-10
dc.date.accessioned2026-07-07T12:01:07Z
dc.date.available2026-07-07T12:01:07Z
dc.descriptionWithin the standard models of particle physics and cosmology we have calculated the big-bang prediction for the primordial abundance of \he to a theoretical uncertainty of less than $0.1 \pct$ $(δY_P < \pm 0.0002)$, improving the current theoretical precision by a factor of 10. At this accuracy the uncertainty in the abundance is dominated by the experimental uncertainty in the neutron mean lifetime, $τ_n = 885.4 \pm 2.0 sec$. The following physical effects were included in the calculation: the zero and finite-temperature radiative, Coulomb and finite-nucleon-mass corrections to the weak rates; order-$α$ quantum-electrodynamic correction to the plasma density, electron mass, and neutrino temperature; and incomplete neutrino decoupling. New results for the finite-temperature radiative correction and the QED plasma correction were used. In addition, we wrote a new and independent nucleosynthesis code designed to control numerical errors to be less than 0.1\pct. Our predictions for the \EL[4]{He} abundance are presented in the form of an accurate fitting formula. Summarizing our work in one number, $ Y_P(η= 5\times 10^{-10}) = 0.2462 \pm 0.0004 (expt) \pm < 0.0002 (theory)$. Further, the baryon density inferred from the Burles-Tytler determination of the primordial D abundance, $Ω_B h^2 = 0.019\pm 0.001$, leads to the prediction: $Y_P = 0.2464 \pm 0.0005 (D/H) \pm < 0.0002 (theory) \pm 0.0005 (expt)$. This ``prediction'' and an accurate measurement of the primeval \he abundance will allow an important consistency test of primordial nucleosynthesis.
dc.descriptionReplaced fitting formulas - new versions differ by small but significant amount. Other minor changes. 30 pages, 17 figures, 5 tables
dc.identifierhttps://arxiv.org/abs/astro-ph/9807279
dc.identifierhttp://arxiv.org/abs/astro-ph/9807279
dc.identifierPhys.Rev.D59:103502,1999
dc.identifierdoi:10.1103/PhysRevD.59.103502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206998
dc.subjectAstrophysics
dc.titlePrecision Prediction for the Big-Bang Abundance of Primordial Helium
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