发表机构
National Taiwan University; National Center for Theoretical Sciences; Osaka University（国立台湾大学; 国家理论科学中心; 大阪大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
更新最小超对称SO(10)大统一理论分析，用通用类MSSM软破缺能谱。通过希格斯场的汤川矩阵确定相关物理量，施加多种约束，经全局扫描和交叉检查，得出窄的迷你分裂区域及最轻超对称粒子作为暗物质候选者的情况。
AI 中文摘要
我们更新了具有通用的、类似约束MSSM的软破缺能谱的最小超对称SO(10)大统一理论的分析。在${\bf 10} \oplus \overline{\bf 126}$希格斯区的一对汤川矩阵确定了带电费米子质量、夸克混合、介导质子衰变的重子数违反的五维算符以及I型跷跷板的右手轻中微子马约拉纳质量。同时施加的约束包括：(i)规范耦合统一和真空稳定性；(ii)五维质子衰变（也计算了六维规范模式且可忽略）、125 GeV希格斯质量和LEP chargino极限；(iii) $\mu\to e\gamma$、μ子的g - 2和电偶极矩。我们对软破缺参数进行全局扫描，并辅以约束μ交叉检查，该检查通过辐射电弱对称破缺从大统一尺度边界条件确定电弱超对称粒子区。在质子衰变归一化的单一有效色希格斯尺度$M_{H_C}$和约束μ处理下，幸存的是一个窄的迷你分裂区域：重的、几十 TeV 的标量，$m_0 \gtrsim 7.7$ TeV且$\tan\beta \lesssim 9$。我们还研究了最轻超对称粒子作为暗物质候选者在通用模型及其自由μ非通用希格斯质量扩展中的命运。在未来十年，幸存区域有严格界限且可测试，最直接的是通过超级神冈质子衰变和电弱超对称粒子搜索，以及暗物质直接探测和电偶极矩实验。
英文摘要
We update the analysis of minimal supersymmetric $\SO{10}$ grand unification with a universal, constrained-MSSM-like soft-breaking spectrum. A pair of Yukawa matrices in the $\rep{10}\oplus\overline{\rep{126}}$ Higgs sector fixes the charged fermion masses and quark mixing, the baryon number-violating dimension-five operators that mediate proton decay, and the right-handed neutrino Majorana masses of the type-I seesaw. The simultaneously imposed constraints include: (i) gauge coupling unification and vacuum stability; (ii) dimension-five proton decay (the dimension-six gauge mode also computed and negligible), the $125$-GeV Higgs mass, and the Large Electron-Positron Collider (LEP) chargino limit; and (iii) $μ\to eγ$, the muon $g-2$, and electric dipole moments. We perform a global scan over the soft-breaking parameters, complemented by a constrained-$μ$ cross-check that fixes the electroweakino sector from the GUT-scale boundary conditions through radiative electroweak symmetry breaking. Subject to a single effective colored Higgs scale $\MHC$ for the proton decay normalization (common to unification and decay, though in a general color triplet mass matrix the two can differ) and to a constrained-$μ$ treatment, what survives is a narrow mini-split region: heavy, multi-tens-of-TeV scalars with $\mzero \gtrsim 11.0$~TeV for a dressing electroweakino mass $m_χ=1$~TeV and $\tb \lesssim 8.0^{+5.5}_{-2.0}$, the uncertainty being the Higgs mass theory error. We also examine the fate of the lightest supersymmetric particle as a dark matter candidate, in both the universal model and its free-$μ$ non-universal-Higgs-mass extension. The surviving region is sharply bounded and testable in the coming decade, most directly by Hyper-Kamiokande proton decay and electroweakino searches, with dark matter direct detection and electric dipole moment experiments.
Comments51 pages, 10 figures; version to appear in PRD
