发表机构
Zhejiang Institute of Modern Physics（浙江大学现代物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究自发CP破缺超对称模型中动力学超对称破缺与规范凝聚的安全性，发现其相位可能通过反常中介或真空对齐产生强CP相位，并分析了3-2、ISS和IYIT模型的具体行为。
AI 中文摘要
在超对称理论中，通过自发CP破缺（SCPV）解决强CP问题，要求超势的常数项和超对称破缺的F项具有高精度的实性。当两者均由动力学机制产生——即通过规范凝聚和动力学超对称破缺（DSB）——即使所有θ角为零且所有耦合均为实数，它们的相位也未必消失；例如，多值的非微扰超势可能位于具有复相位的分支上。事实上，在纯超对称杨-米尔斯理论及其Affleck-Dine-Seiberg推广中，规范凝聚仅当N_c - N_f属于{1,2}（纯SYM时N_c=2）才是安全的；否则，常数项的相位会通过反常中介传递到胶微子质量。超对称破缺的F项是MSSM软质量（包括胶微子质量）的主要来源，因此其相位也会影响θ-bar。在全局超对称框架下，3-2模型不引入相位。ISS模型在该扇区夸克质量非简并时是安全的；然而在简并（或近简并）极限下，复真空取向可能产生O(1)的相位。IYIT模型可以产生纯虚的F项：在实Yukawa参数空间中约一半区域，介子真空期望值为纯虚，CP被自发破缺。在这三个模型中，与信使耦合的场的真空与常数项对齐，因此复常数项通过第二条路径（独立于反常中介）产生强CP相位。
英文摘要
Solving the strong CP problem with spontaneous CP violation (SCPV) in SUSY requires that the constant term of the superpotential and the SUSY-breaking F-term be real to high accuracy. When both are generated dynamically, by gaugino condensation and by dynamical SUSY breaking (DSB), their phases need not vanish even if every theta-angle vanishes and every coupling is real; e.g., the multivalued non-perturbative superpotential may sit on a branch with a complex phase. In fact, gaugino condensation, in pure SUSY Yang-Mills theory and in its Affleck-Dine-Seiberg generalization, is safe only for N_c - N_f in {1,2} (N_c = 2 for pure SYM); otherwise the phase of the constant term reaches the gluino mass through anomaly mediation. The SUSY-breaking F-term is the main source of the MSSM soft masses, including the gluino mass, so its phase reaches theta-bar as well. In the framework of global SUSY, the 3-2 model introduces no phase. The ISS model is safe for non-degenerate quark masses in that sector; in the degenerate (or nearly degenerate) limit, however, a complex vacuum orientation can generate an O(1) phase. The IYIT model can generate a purely imaginary F-term: for roughly half of the real Yukawa parameter space, the meson VEV is purely imaginary and CP is spontaneously broken. In all three, the vacuum of the field coupled to the messengers is aligned with the constant term, so a complex constant term generates a strong CP phase through a second route, separate from anomaly mediation.
Comments34 pages, no figures
