论文标题
黑暗的尺寸和漫画
The Dark Dimension and the Swampland
论文作者
论文摘要
由Swampland计划的原则进行的激励，该原则表征了量子重力一致的紫外线完成的要求，结合了观察数据，我们被带到了量子重力景观的独特角落。 In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $l\sim Λ^{-\frac{1}{4}}\sim 10^{-6}\, m$, with extra massless fermions propagating on it.这会自动导致无菌中微子塔的候选者，以及相关的主动中微子质量尺度$m_ν\ sim \ langle h \ rangle^2 \，λ^{ - \ frac {1} {1} {12}} {12}}}}} m_此外，假设这种黑暗维度的稳定机制会导致活跃和无菌中微子的类似质量，我们被导致预测Higgs vev $ \ langle h \ langle h \ rangle \simλ^{\ frac {\ frac {1} {6}} {6}} {6}} {pl} m_ {pl} {pl}^}} Another prediction of the scenario is a species scale ${\hat M} \sim Λ^ {\frac{1}{12}}M_{pl}^{\frac{2}{3}}\sim 10^{9}-10^{10} GeV$, corresponding to the higher-dimensional Planck scale.该能量量表可能与以$ \ sim 10^{11} \，GEV $为标度的HIGGS有效潜力的不稳定性有关。我们还推测了超高能量宇宙射线上这种能量量表与GZK极限之间的相互作用。
Motivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $l\sim Λ^{-\frac{1}{4}}\sim 10^{-6}\, m$, with extra massless fermions propagating on it. This automatically leads to a candidate for a tower of sterile neutrinos, and an associated active neutrino mass scale $m_ν\sim \langle H\rangle^2\, Λ^{-\frac{1}{12}}M_{pl}^{-\frac{2}{3}}$. Moreover, assuming the mechanism for stabilization of this dark dimension leads to similar masses for active and sterile neutrinos we are led to the prediction of a Higgs vev $\langle H\rangle \sim Λ^{\frac{1}{6}}M_{pl}^{\frac{1}{3}}$. Another prediction of the scenario is a species scale ${\hat M} \sim Λ^ {\frac{1}{12}}M_{pl}^{\frac{2}{3}}\sim 10^{9}-10^{10} GeV$, corresponding to the higher-dimensional Planck scale. This energy scale may be related to the resolution of the instability of the Higgs effective potential present at a scale of $\sim 10^{11}\, GeV$. We also speculate about the interplay between this energy scale and the GZK limit on ultra-high energy cosmic rays.
