Thermal leptogenesis in brane world cosmology

Abstract

The thermal leptogenesis in brane world cosmology is studied. In brane world cosmology, the expansion law is modified from the four-dimensional standard cosmological one at high temperature regime in the early universe. As a result, the well-known upper bound on the lightest light neutrino mass induced by the condition for the out-of-equilibrium decay of the lightest heavy neutrino, ${\tilde{m}}_1\lesssim 10^{-3}$ eV, can be moderated to be ${\tilde{m}}_1\lesssim 10^{-3}eV\times (M_1/T_t{)}^2$ in the case of $T_t\le M_1$ with the lightest heavy neutrino mass ($M_1$) and the ``transition temperature'' ($T_t$), at which the modified expansion law in brane world cosmology is smoothly connecting with the standard one. This implies that the degenerate mass spectrum of the light neutrinos can be consistent with the thermal leptogenesis scenario. Furthermore, as recently pointed out, the gravitino problem in supersymmetric case can be solved if the transition temperature is low enough $T_t\lesssim 10^{6-7}$ GeV. Therefore, even in the supersymmetric case, thermal leptogenesis scenario can be successfully realized in brane world cosmology.

9 pages, final version

References in corpus (6)

• A Measurement of Atmospheric Neutrino Oscillation Parameters by Super-Kamiokande I
• Relic density of dark matter in brane world cosmology
• Neutralino dark matter in brane world cosmology
• Reheating and gravitino production in braneworld inflation
• A brane world cosmological solution to the gravitino problem
• Aspects of thermal leptogenesis in braneworld cosmology

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