Superfield Renormalization Group and Threshold Corrections to Soft Supersymmetry Breaking

超场重正化群和软超对称破缺的阈值修正

基本信息

批准号：
16540238
负责人：
NAKANO Hiroaki
金额：
$ 1.57万
依托单位：
Niigata University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2007
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540238/
关键词：
renormalization group supersymmetry threshold correction superfield formalism 赤外固定点超共形場

项目摘要

We have studied supersymmetric models with strongly-coupled, superconformal fixed point. The results obtained are as follows:1) We proposed a new mechanism for generating a large mass scale at which the superconformal sector decouples. The mass scale is generated by its own strong dynamics, and is hierarchically large, compared to supersymmetry breaking scale of order TeV, due to the power-law suppression of the self-coupling of the scalar field.2) We proposed a new model which can solve the supersymmetric little hierarchy problem by introducing a strongly-coupled sector at TeV scale. We also discuss possible threshold corrections at the decoupling of the strongly-coupled sector.3) More generally, we studied threshold corrections to soft supersymmetry breaking parameters at a heavy mass threshold and proposed a new formula for calculating such corrections by utilizing the superfield formalism. In case that a heavy vector supermultiplet decouples, we showed our formula is consistent with the desired UV insensitivity of anomaly-mediated supersymmetry breaking. In case that a heavy chiral supermultiplet decouples, we found an apparent discrepancy, but we showed how such discrepancies can be removed by improving the matching condition for wavefunction renormalizations of chiral superfields.

我们研究了具有强耦合的超符号固定点的超对称模型。所获得的结果如下：1）我们提出了一种新的机制，用于产生大质量规模，在该质量尺度上，超符号扇形分离。与超对称性的TEV的超对称性断裂量表相比，质量尺度是由其自身的强大动态产生的，这是由于标量场的自我耦合的迫使TEV的超对称性破坏量表。2）我们提出了一个新模型，该模型可以解决Supersymptyrypyryp的小等级问题，通过在TEV范围内引入一个强大的小型结构。我们还讨论了在强耦合扇区的解耦时可能的阈值校正。3）更普遍地，我们研究了在重度质量阈值下对软超对称破坏参数进行阈值校正，并提出了一种新的公式，以通过利用超级赛场的形式来计算此类校正。如果重型载体超拟南芥，我们表明我们的公式与所需的紫外线介导的超对称性破裂的紫外线不敏感性一致。如果重性超级全能人会脱离，我们发现了明显的差异，但是我们展示了如何通过改善手性超级领域的波函数重态化的匹配条件来消除这种差异。