Likelihood analysis of the minimal AMSB model
2017
We perform a likelihood analysis of the minimal anomaly-mediated
supersymmetry-breaking(mAMSB) model using constraints from cosmology and accelerator experiments. We find that either a wino-like or a
Higgsino-like
neutralinoLSP, \(\
tilde{\chi }^0_{1}\), may provide the
cold dark matter(DM), both with similar likelihoods. The upper limit on the DM density from Planck and other experiments enforces \(m_{\
tilde{\chi }^0_{1}} \lesssim 3 \,\, \mathrm {TeV}\) after the inclusion of Sommerfeld enhancement in its annihilations. If most of the cold DM density is provided by the \(\
tilde{\chi }^0_{1}\), the measured value of the Higgs mass favours a limited range of \(\tan \beta \sim 5\) (and also for \(\tan \beta \sim 45\) if \(\mu > 0\)) but the scalar mass \(m_0\) is poorly constrained. In the wino-LSP case, \(m_{3/2}\) is constrained to about \(900\,\, \mathrm {TeV}\) and \(m_{\
tilde{\chi }^0_{1}}\) to \(2.9\pm 0.1\,\, \mathrm {TeV}\), whereas in the
Higgsino-LSP case \(m_{3/2}\) has just a lower limit \(\gtrsim 650\,\, \mathrm {TeV}\) (\(\gtrsim 480\,\, \mathrm {TeV}\)) and \(m_{\
tilde{\chi }^0_{1}}\) is constrained to \(1.12 ~(1.13) \pm 0.02\,\, \mathrm {TeV}\) in the \(\mu >0\) (\(\mu 0\).
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