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arXiv 1909.02124hep-phhep-th
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具有简并真空的SUGRA模型中SUSY破缺尺度的预测

Predicting the SUSY breaking scale in SUGRA models with degenerate vacua

C. D. Froggatt, R. Nevzorov, H. B. Nielsen, A. W. Thomas

摘要:

在N=1的超引力中,标量位可能有超对称(SUSY)和非超对称闵可夫斯基真空(与超对称和物理相有关),能量密度为零。在超对称闵可夫斯基(第二)阶段的一些超对称性的崩溃可能会引起的非微扰效应在可观察部门,产生一个微小的正真空能量密度。假设物理真空和第二真空的确切简并性,并假设在高能量下,两个相的耦合几乎相同,人们可以估计这些真空中的暗能量密度。它主要由物理相超对称性破缺尺度M_S决定。通过对这些真空中耦合的双圈重整化群(RG)流的研究,我们发现当M_S在20 ~ 400 TeV范围内变化时,宇宙学常数的测量值是可以重现的。我们还认为,这种超对称性破缺标度的预测是一致的上限M_S在higgsino暗物质的情况下。

英文摘要:

In N=1 supergravity the scalar potential may have supersymmetric (SUSY) and non-supersymmetric Minkowski vacua (associated with supersymmetric and physical phases) with vanishing energy density. In the supersymmetric Minkowski (second) phase some breakdown of SUSY may be induced by non-perturbative effects in the observable sector that give rise to a tiny positive vacuum energy density. Postulating the exact degeneracy of the physical and second vacua as well as assuming that at high energies the couplings in both phases are almost identical, one can estimate the dark energy density in these vacua. It is mostly determined by the SUSY breaking scale M_S in the physical phase. Exploring the two-loop renormalization group (RG) flow of couplings in these vacua we find that the measured value of the cosmological constant can be reproduced if M_S varies from 20 TeV to 400 TeV. We also argue that this prediction for the SUSY breaking scale is consistent with the upper bound on M_S in the higgsino dark matter scenario.

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