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We investigate the relic abundance of dark matter in the minimal universal extra dimension model including resonance processes by second Kaluza-Klein particles in all coannihilation processes. After including second Kaluza-Klein resonance processes, the relic abundance of dark matter is reduced by about 30%. Thus, the compactification scale $1/R$ of the extra dimension consistent with the WMAP observation is increased by a few hundred GeV. As a result, the cosmologically allowed compactification scale is 600 GeV1/R1400 GeV for ΛR=20.
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Kakizaki et al. (2006) studied this question.
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