Likelihood Analysis of the Minimal AMSB Model

Abstract

We perform a likelihood analysis of the minimal Anomaly-Mediated Supersymmetry Breaking (mAMSB) model using constraints from cosmology and accelerator experiments. We find that a wino-like or a Higgsino-like neutralino LSP, $m_{{\tilde{\chi }}_1^0}$, may provide the cold dark matter (DM) with similar likelihood. The upper limit on the DM density from Planck and other experiments enforces $m_{{\tilde{\chi }}_1^0}\lesssim 3TeV$ 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 $\tan \beta \sim 5$ (or for $\mu >0$, $\tan \beta \sim 45$) but the scalar mass $m_0$ is poorly constrained. In the wino-LSP case, $m_{3/2}$ is constrained to about $900TeV$ and $m_{{\tilde{\chi }}_1^0}$ to $2.9\pm 0.1TeV$, whereas in the Higgsino-LSP case $m_{3/2}$ has just a lower limit $\gtrsim 650TeV$ ($\gtrsim 480TeV$) and $m_{{\tilde{\chi }}_1^0}$ is constrained to $1.12(1.13)\pm 0.02TeV$ in the $\mu >0$ ($\mu <0$) scenario. In neither case can the anomalous magnetic moment of the muon, $(g-2{)}_{\mu }$, be improved significantly relative to its Standard Model (SM) value, nor do flavour measurements constrain the model significantly, and there are poor prospects for discovering supersymmetric particles at the LHC, {though there} are some prospects for direct DM detection. On the other hand, if the $m_{{\tilde{\chi }}_1^0}$ contributes only a fraction of the cold DM density, {future LHC $E_T$-based searches for gluinos, squarks and heavier chargino and neutralino states as well as disappearing track searches in the wino-like LSP region will be relevant}, and interference effects enable $\mathrm{BR}(B_{s,d}\to {\mu }^{+}{\mu }^{-})$ to agree with the data better than in the SM in the case of wino-like DM with $\mu >0$.

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