# Markov Chain Monte Carlo Exploration of Minimal Supergravity with Implications for Dark Matter

## Abstract

We explore the full parameter space of Minimal Supergravity (mSUGRA), allowing all four continuous parameters (the scalar mass m{sub 0}, the gaugino mass m{sub 1/2}, the trilinear coupling A{sub 0}, and the ratio of Higgs vacuum expectation values tan {beta}) to vary freely. We apply current accelerator constraints on sparticle and Higgs masses, and on the b {yields} s{gamma} branching ratio, and discuss the impact of the constraints on g{sub {mu}}-2. To study dark matter, we apply the WMAP constraint on the cold dark matter density. We develop Markov Chain Monte Carlo (MCMC) techniques to explore the parameter regions consistent with WMAP, finding them to be considerably superior to previously used methods for exploring supersymmetric parameter spaces. Finally, we study the reach of current and future direct detection experiments in light of the WMAP constraint.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Science (US)

- OSTI Identifier:
- 827306

- Report Number(s):
- SLAC-PUB-10566

TRN: US0403278

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 19 Jul 2004

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; ACCELERATORS; BRANCHING RATIO; CHAINS; DETECTION; EXPECTATION VALUE; EXPLORATION; NONLUMINOUS MATTER; SCALARS; SPARTICLES; SUPERGRAVITY

### Citation Formats

```
Baltz, E.
```*Markov Chain Monte Carlo Exploration of Minimal Supergravity with Implications for Dark Matter*. United States: N. p., 2004.
Web. doi:10.2172/827306.

```
Baltz, E.
```*Markov Chain Monte Carlo Exploration of Minimal Supergravity with Implications for Dark Matter*. United States. doi:10.2172/827306.

```
Baltz, E. Mon .
"Markov Chain Monte Carlo Exploration of Minimal Supergravity with Implications for Dark Matter". United States. doi:10.2172/827306. https://www.osti.gov/servlets/purl/827306.
```

```
@article{osti_827306,
```

title = {Markov Chain Monte Carlo Exploration of Minimal Supergravity with Implications for Dark Matter},

author = {Baltz, E},

abstractNote = {We explore the full parameter space of Minimal Supergravity (mSUGRA), allowing all four continuous parameters (the scalar mass m{sub 0}, the gaugino mass m{sub 1/2}, the trilinear coupling A{sub 0}, and the ratio of Higgs vacuum expectation values tan {beta}) to vary freely. We apply current accelerator constraints on sparticle and Higgs masses, and on the b {yields} s{gamma} branching ratio, and discuss the impact of the constraints on g{sub {mu}}-2. To study dark matter, we apply the WMAP constraint on the cold dark matter density. We develop Markov Chain Monte Carlo (MCMC) techniques to explore the parameter regions consistent with WMAP, finding them to be considerably superior to previously used methods for exploring supersymmetric parameter spaces. Finally, we study the reach of current and future direct detection experiments in light of the WMAP constraint.},

doi = {10.2172/827306},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2004},

month = {7}

}