Superfield Renormalization Group and Threshold Corrections to Soft Supersymmetry Breaking

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)我们提出了一种产生超大质量尺度超共形扇区解耦的新机制。质量尺度是由自身的强动力学产生的，由于幂律抑制了标量场的自耦合，与TeV阶的超对称破缺尺度相比，质量尺度在层次上更大。2)我们提出了一个新的模型，通过在TeV尺度上引入强耦合扇区来解决超对称小层次问题。我们还讨论了在强耦合扇区解耦时可能的阈值修正。(3)进一步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软超对称破缺参数阈值修正的新公式。在重矢量超多重解耦的情况下，我们证明了我们的公式与异常介导的超对称破缺所期望的紫外不敏感性是一致的。在重手性超多重解耦的情况下，我们发现了明显的差异，但我们展示了如何通过改进手性超场的波函数重整化的匹配条件来消除这种差异。

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.