Likelihood Analysis of the Minimal AMSB Model

TL;DR

This paper conducts a likelihood analysis of the minimal AMSB model, exploring dark matter candidates, parameter constraints, and experimental prospects, finding limited collider detection potential but some promise for direct dark matter detection.

Contribution

It provides the first comprehensive likelihood analysis of the minimal AMSB model incorporating cosmological and experimental constraints, highlighting dark matter properties and experimental prospects.

Findings

Wino-like or Higgsino-like neutralinos can account for dark matter.

Upper limit on neutralino mass is about 3 TeV due to relic density constraints.

Limited prospects for LHC detection; some potential for direct dark matter detection.

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, $m_{\tilde \chi^0_{1}}$, may provide the cold dark matter (DM) with similar likelihood. The upper limit on the DM density from Planck and other experiments enforces $m_{\tilde \chi^0_{1}} \lesssim 3~TeV$ 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 $\tan \beta \sim 5$ (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 $900~TeV$ and ${m_{\tilde \chi^0_{1}}}$ to $2.9\pm0.1~TeV$, whereas in the Higgsino-LSP case $m_{3/2}$ has just a lower limit $\gtrsim 650TeV$ ($\gtrsim 480TeV$) and $m_{\tilde \chi^0_{1}}$ is constrained to $1.12 ~(1.13) \pm0.02~TeV$ 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 ${m_{\tilde \chi^0_{1}}}$ 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 ${\rm BR}(B_{s, d} \to \mu^+\mu^-)$ to agree with the data better than in the SM in the case of wino-like DM with $\mu > 0$.