论文标题
将超对称标准模型与宇宙常数联系起来
Linking the Supersymmetric Standard Model to the Cosmological Constant
论文作者
论文摘要
字符串理论除字符串比例$ m_s $之外没有参数,因此Planck比例$ M_ \ text {pl} $,超对称性尺度,EW量表$ M_ \ text {ew} $以及真空能量密度密度(宇宙学常数)$λ$在任何当地的最小值范围内都可以在当地的最小值范围内动态确定。在这里,我们考虑了一个将超对称性电子现象学(自下而上)连接到弦理论动机通量压实方法(上自上而下)的模型。在该模型中,赛车kähler升高机制的组合破坏了超对称性,该机构自然可以在局部最低限度中呈指数级的小$λ$,而在KKLT方案中允许抗D3-Brane。在超对称标准模型中没有希格斯双线杆的情况下,一个$λ$或足够大的susy破量表,但却不是两者兼而有之。希格斯田地的引入(及其柔和的条款)允许同时使用$λ$和足够大的Susy破坏规模。由于在统计上是统计优先的,因此呈指数级的$λ$(因为正确归一化的概率分布$ p(λ)$以$λ= 0^{+} $偏差,因此识别观察到的$λ_{\λ_ {\ rm obs} $中位数$λ_{50 \%} $ sim $ m _ $ g c $ g c = c $ g rm e e。我们还发现,扭曲的抗D3-Brane张力在景观中具有1亿美元的SUSY破坏规模_ {\ rm ew} $,而SUSY破裂的量表与可见扇区中的Higgs领域直接相关的SUSY破坏量表的价值为$ M _ {\ rm ew} $。
String theory has no parameter except the string scale $M_S$, so the Planck scale $M_\text{Pl}$, the supersymmetry-breaking scale, the EW scale $m_\text{EW}$ as well as the vacuum energy density (cosmological constant) $Λ$ are to be determined dynamically at any local minimum solution in the string theory landscape. Here we consider a model that links the supersymmetric electroweak phenomenology (bottom up) to the string theory motivated flux compactification approach (top down). In this model, supersymmetry is broken by a combination of the racetrack Kähler uplift mechanism, which naturally allows an exponentially small positive $Λ$ in a local minimum, and the anti-D3-brane in the KKLT scenario. In the absence of the Higgs doublets in the supersymmetric standard model, one has either a small $Λ$ or a big enough SUSY-breaking scale, but not both. The introduction of the Higgs fields (with their soft terms) allows a small $Λ$ and a big enough SUSY-breaking scale simultaneously. Since an exponentially small $Λ$ is statistically preferred (as the properly normalized probability distribution $P(Λ)$ diverges at $Λ=0^{+}$), identifying the observed $Λ_{\rm obs}$ to the median value $Λ_{50\%}$ yields $m_{\rm EW} \sim 100$ GeV. We also find that the warped anti-D3-brane tension has a SUSY-breaking scale of $100m_{\rm EW}$ in the landscape while the SUSY-breaking scale that directly correlates with the Higgs fields in the visible sector has a value of $m_{\rm EW}$.