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arXiv 2202.01264hep-phhep-th
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标准模型超对称扩张的不动点

Fixed Points in Supersymmetric Extensions of the Standard Model

Gudrun Hiller, Daniel F. Litim, Kevin Moch

摘要:

我们在极小超对称标准模型(MSSM)的推广中寻找弱相互作用不动点。必要条件导致三种不同的无异常扩展,涉及新夸克单线态、新夸克双线态或第四代。虽然相互作用不动点在渐近自由理论中大量出现,但只要一些非阿贝尔规范扇区是红外自由的,它们的存在就会受到明显的限制。执行扫描$\sim 200$ k个不同的MSSM扩展使用物质场的多重性和超势耦合的数量作为自由参数,我们发现大多红外共形不动点,和一个小的子集与紫外线的。所有设置都预测低比例超高速中断和违反$R$奇偶校验。尽管有剩余的相互作用,运行的耦合渐近安全的不动点是对数的渐近自由。某些固定点可以与标准模型匹配,但匹配比例太低。更高的匹配尺度和渐近安全超出MSSM的前景。

英文摘要:

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.

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