Gauge Couplings at High Temperature and the Relic Gravitino Abundance

Details Gauge Couplings at High Temperature and the Relic Gravitino Abundance Gauge Couplings at High Temperature and the Relic Gravitino Abundance

2003-07-14

arxiv.org/abs/hep-ph/0307181v2

Phys.Lett.B574:156-161,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figures, comment on supersymmetry breaking mechanisms and two references added

Scientific paper

10.1016/j.physletb.2003.09.017

In higher-dimensional supersymmetric theories gauge couplings of the effective four-dimensional theory are determined by expectation values of scalar fields. We find that at temperatures above a critical temperature $T_*$, which depends on the supersymmetry breaking mass scales, gauge couplings decrease like $T^{-\a}$, $\a > 1$. This has important cosmological consequences. In particular it leads to a relic gravitino density which becomes independent of the reheating temperature for $T_R > T_*$. For small gravitino masses, $m_{3/2} \ll m_{\gl}$, the mass density of stable gravitinos is essentially determined by the gluino mass. The observed value of cold dark matter, $\O_{\rm CDM}h^2 \sim 0.1$, is obtained for gluino masses $m_{\gl} = {\cal O}(1 {\rm TeV})$.

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