随机超空间的软超对称破缺
Soft supersymmetry breaking from stochastic superspace
摘要：
我们提出了一个新的实现软破超对称理论的理论定义在随机超空间。在经典水平上，超对称破缺被参数化为一个单一的（通常是复杂的）质量参数，$ξ$，描述了格拉斯曼超空间坐标的随机性。在具有随机超对称性的标准模型的背景下，软破缺项的结构具有可以在LHC实验中测试的各种特征。也就是说，在经典水平上，$B_μ$参数、普适软三线性耦合$A_0$、普适高吉诺质量$m_{1/2}$和普适标量质量$m_0$仅以$ξ$的形式给出;没有其他任意参数。这些关系是$B_μ= ξ^*$、$A_0 = 2ξ^*$、$m_{1/2} = |ξ|/2$和$m_0 = 0$。在量子水平上，这些关系在一定尺度$Λ$（第二自由参数）下成立。通过单圈重正化群方程，辐射诱导出在树能级为零的软标量质量。利用这种软断裂项的模式，避免了对FCNC过程的大的超对称贡献。作为一个具体的说明所提出的形式主义，我们考虑一个最小的模型，这只是约束MSSM与随机超空间关系之间的软破参数施加在规模$Λ$。我们表明，这个理论是唯象可行的$(ξ,Λ)$参数空间中的某个区域。然后简要讨论了最小模型的一些合理的扩展。
英文摘要：
We propose a new realization of softly broken supersymmetric theories as theories defined on stochastic superspace. At the classical level, the supersymmetry breaking is parameterized in terms of a single (in general complex) mass parameter, $ξ$, describing the stochasticity of the Grassmannian superspace coordinates. In the context of the standard model with stochastic supersymmetry, the structure of the soft breaking terms has various characteristic features that can be tested in LHC experiments. Namely, at the classical level, the $B_μ$ parameter, the universal soft trilinear coupling $A_0$, the universal gaugino mass $m_{1/2}$ and the universal scalar mass $m_0$ are given solely in terms of $ξ$; there are no other arbitrary parameters. The relations are $B_μ= ξ^*$, $A_0 = 2ξ^*$, $m_{1/2} = |ξ|/2$ and $m_0 = 0$. At the quantum level, these relations hold at a certain scale $Λ$ which is a second free parameter. The soft scalar masses, zero at tree-level, are induced radiatively through the renormalization group equations at one-loop. With this pattern of soft breaking terms, large supersymmetric contributions to FCNC processes are avoided. As a concrete illustration of the proposed formalism, we consider a minimal model, which is just the constrained MSSM with the stochastic superspace relations amongst the soft-breaking parameters imposed at the scale $Λ$. We show that this theory is phenomenologically viable for a certain region in the $(ξ,Λ)$ parameter space. Some sensible extensions of the minimal model are then briefly discussed.
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