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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、超共形不动点的超对称模型。得到的结果如下：1)提出了一种产生超共形扇区解耦的大质量尺度的新机制。由于标量场自耦合的幂定律抑制，质量标度是由其自身的强动力学产生的，并且比TeV量级的超对称破缺标度大。2)通过在TeV标量尺度上引入一个强耦合扇区，我们提出了一个新的模型来解决超对称小标度问题。我们还讨论了强耦合扇区去耦合时可能的阈值修正。3)更一般地，我们研究了大质量阈值下软超对称破缺参数的阈值修正，并利用超场形式提出了计算这种修正的新公式。在重向量超多重态去耦合的情况下，我们证明了我们的公式与反常介导的超对称破缺对紫外光的不敏感性是一致的。在重手征超多重态去耦合的情况下，我们发现了一个明显的差异，但我们展示了如何通过改进手征超场波函数重整化的匹配条件来消除这种差异。