论文标题
标准模型超对称扩展的固定点
Fixed Points in Supersymmetric Extensions of the Standard Model
论文作者
论文摘要
我们在微小超对称标准模型（MSSM）的扩展中搜索弱相互作用的固定点。必要的条件导致三个不同类别的无异常扩展，涉及新的夸克单线，新的夸克双线或第四代。虽然相互作用的固定点在渐近理论中产生，但一旦某些非亚洲仪表扇区是无用的，它们的存在就受到了显着限制。使用物质字段多重性和超电势耦合的数量作为免费参数进行扫描，以$ \ sim 200 $ k不同的MSSM扩展，我们发现大部分是红外的共形固定点，以及带有紫外线的小子集。所有设置都可以预测低尺度的超对称性破裂和违反$ r $ parity的行为。尽管存在残留的相互作用，但偶联的固定点的耦合仍是对数，就像渐近自由一样。尽管匹配比例太低，但一些固定点可以与标准模型匹配。指出了超出MSSM的较高匹配量表和渐近安全的前景。
We search for weakly interacting fixed points in extensions of the minimally supersymmetric standard model (MSSM). Necessary conditions lead to three distinct classes of anomaly-free extensions involving either new quark singlets, new quark doublets, or a fourth generation. While interacting fixed points arise prolifically in asymptotically free theories, their existence is significantly constrained as soon as some of the non-abelian gauge sectors are infrared free. Performing a scan over $\sim 200$k different MSSM extensions using matter field multiplicities and the number of superpotential couplings as free parameters, we find mostly infrared conformal fixed points, and a small subset with ultraviolet ones. All settings predict low-scale supersymmetry-breaking and a violation of $R$-parity. Despite of residual interactions, the running of couplings out of asymptotically safe fixed points is logarithmic as in asymptotic freedom. Some fixed points can be matched to the Standard Model though the matching scale comes out too low. Prospects for higher matching scales and asymptotic safety beyond the MSSM are indicated.
