The muon abundance in the primordial Universe

Abstract

Muon abundance is required for the understanding of several fundamental questions regarding properties of the primordial Universe. In this paper we evaluate the production and decay rates of muons in the cosmic plasma as a function of temperature. This allows us to determine when exactly the muon abundance disappears. When the Universe cools below the temperature $k{T}_{\mathrm{disappear}}\approx 4.135$ MeV the muon decay rate overwhelms production rates and muons vanish quasi-instantaneously from the Universe. Interestingly, we show that at $T_{\mathrm{disappear}}$ the muon number is nearly equal to baryon abundance.

arXiv comment10 pages APPB, 3 figures, Prepared for the 60th anniversary of the Cracow School of Theoretical Physics; v2 in press: typos corrected and computational details improved

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• Cosmological Strangeness Abundance
• Fermi-Dirac Integrals in Degenerate Regimes: A Novel Asymptotic Expansion
• Reactions Governing Strangeness Abundance in Primordial Universe
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