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arXiv 0807.4512hep-ph
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包括WMAP5结果的全局拟合中mSUGRA内符号(mu)的贝叶斯选择

Bayesian Selection of sign(mu) within mSUGRA in Global Fits Including WMAP5 Results

F. Feroz, B. C. Allanach, M. P. Hobson, S. S. AbdusSalam, R. Trotta, A. M. Weber

摘要:

我们研究的约束最小超对称标准模型(mSUGRA)的属性进行拟合更新的间接数据,包括遗迹密度推断从WMAP 5的暗物质。为了找到在何种程度上亩< 0 is disfavoured compared to mu >0,我们比较贝叶斯证据值为这些模型,我们直接获得,并具有良好的精度,从最近开发的多模态嵌套抽样(“多巢”)技术。我们发现了在mu &lt; 0上mSUGRA的mu &gt; 0分支的弱到中等的证据,并估计概率比为P(mu &gt; 0)/P(mu &lt; 0)= 6-61,这取决于所使用的先验度量和范围。因此,有积极的(但不是压倒性的)证据表明mSUGRA中mu &gt; 0。MultiNest技术还提供参数和其他相关量(如超伙伴质量)的概率分布。我们探索我们的结果的选择上使用的先验测量的依赖性。我们还使用贝叶斯证据来量化mSUGRA参数推断之间的一致性,这些推断来自具有最大影响的约束:(g-2)_mu,BR(b -&gt; s gamma)和冷暗物质(DM)遗迹密度Omega_{DM} h ^2。

英文摘要:

We study the properties of the constrained minimal supersymmetric standard model (mSUGRA) by performing fits to updated indirect data, including the relic density of dark matter inferred from WMAP5. In order to find the extent to which mu < 0 is disfavoured compared to mu > 0, we compare the Bayesian evidence values for these models, which we obtain straightforwardly and with good precision from the recently developed multi-modal nested sampling ('MultiNest') technique. We find weak to moderate evidence for the mu > 0 branch of mSUGRA over mu < 0 and estimate the ratio of probabilities to be P(mu > 0)/P(mu < 0) = 6-61 depending on the prior measure and range used. There is thus positive (but not overwhelming) evidence that mu > 0 in mSUGRA. The MultiNest technique also delivers probability distributions of parameters and other relevant quantities such as superpartner masses. We explore the dependence of our results on the choice of the prior measure used. We also use the Bayesian evidence to quantify the consistency between the mSUGRA parameter inferences coming from the constraints that have the largest effects: (g-2)_mu, BR(b -> s gamma) and cold dark matter (DM) relic density Omega_{DM}h^2.

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