发表机构
University of Oklahoma; University of Wisconsin, Madison; University of Cyprus（俄克拉荷马大学; 威斯康星大学麦迪逊分校; 塞浦路斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究 MSSM 的相关问题，利用无奇异常离散\(Z_n^R\)对称性及金-尼尔斯机制，通过耦合希格斯场与规范单态场并施加超对称破缺，解决强 CP 问题，还产生暗物质候选者。
AI 中文摘要
最小超对称标准模型（MSSM）存在多个问题，如μ项需被禁止并在弱标度下再生，存在违反 R 宇称的超势项导致质子快速衰变，还有五维质子衰变算符。通常施加 R 宇称或物质宇称\(P_M\)只能解决其中第二个问题，而无奇异常离散\(Z_n^R\)对称性（与大统一一致）可解决所有问题。禁止μ项后，MSSM 产生意外全局\(U(1)_{PQ}\)对称性。通过将希格斯场与带\(PQ\)电荷的规范单态场\(X\)、\(Y\)耦合（金-尼尔斯机制）并施加超对称破缺，在弱标度下再生μ同时打破离散\(Z_n^R\)和\(U(1)_{PQ}\)。破缺的全局\(U(1)_{PQ}\)产生赝戈德斯通玻色子——DFSZ 轴子，从而解决强 CP 问题。在此设定下，超对称产生暗物质候选者——超对称 DFSZ 轴子，且可能根据诱导的违反 R 宇称算符的阶数产生 WIMP 暗物质候选者。
英文摘要
The Minimal Supersymmetric Standard Model (MSSM) has several problems: 1. its $μ$ term must be forbidden, then regenerated at the weak scale, 2. it allows for $R$-parity violating superpotential terms which lead to rapid proton decay, 3. it allows for dimension-5 proton decay operators. The usual imposition of $R$- or matter parity $P_M$ solves only the second of these, whereas anomaly-free discrete $\mathbb{Z}_n^R$ symmetries (consistent with grand unification) address all of them. Once the $μ$-term is forbidden by the imposition of a discrete $\mathbb{Z}_n^R$ symmetry (which can emerge as a discrete remnant of string compactifications to 4-dimensions), the MSSM develops an accidental global $U(1)_{PQ}$ symmetry (thus providing a plausible origin for the global $U(1)_{PQ}$ needed for solving the strong CP problem). By coupling the Higgs fields to PQ-charged gauge singlet fields $X,\ Y$ (in the Kim-Nilles mechanism), and imposing SUSY breaking, one regenerates $μ$ at the weak scale whilst breaking the discrete $\mathbb{Z}_n^R$ and the $U(1)_{PQ}$. The broken global $U(1)_{PQ}$ develops a pseudo-Goldstone boson, the DFSZ axion, thus (perhaps inadvertently) solving the strong CP problem. In this setting, SUSY develops a dark matter candidate, the SUSY DFSZ axion, and possibly, though not necessarily, a WIMP dark matter candidate as well, depending on the order of the induced $R$-parity violating operators.
Comments10 pages
