Natural dark matter within the Minimal Supersymmetric Standard Model

Abstract

It is often claimed that supersymmetry naturally explains the observed dark matter relic density.  We provide a quantitative study of the fine-tuning required to fit the observed dark matter relic density within the Minimal Supersymmetric Standard Model (MSSM) and a semi-realistic type I string model.  Within the MSSM we find the degree of tuning to be closely correlated to the dominant annihilation channel of neutralinos in the early universe.  Some annihilation channels, such as t-channel slepton exchange, can require no fine-tuning at all whereas others, such as annihilation via an on-shell Higgs h⁰, can require tuning at the 0.1% level.  We go on to consider a semi-realistic type I string model.  We find many of the regions require the same degree of tuning as the MSSM.  Where there are large variations we find that they can be explained by relations between the input parameters of the string model and those of the MSSM.  This opens up the possibility of guiding research into models of SUSY breaking by attempting to minimise fine-tuning.

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